{"id":2963,"date":"2013-05-03T18:09:44","date_gmt":"2013-05-03T10:09:44","guid":{"rendered":"http:\/\/vanabel.sinaapp.com\/?p=2963"},"modified":"2013-05-03T18:09:44","modified_gmt":"2013-05-03T10:09:44","slug":"%e8%8b%8f%e5%b7%9e%e5%a4%a7%e5%ad%a6%e5%9f%ba%e7%a1%80%e6%95%b0%e5%ad%a6%e7%a1%95%e5%a3%ab%e5%8d%9a%e5%a3%ab%e7%a0%94%e7%a9%b6%e7%94%9f%e8%af%be%e7%a8%8b%e6%95%99%e5%ad%a6%e5%a4%a7%e7%ba%b2","status":"publish","type":"post","link":"https:\/\/lttt.vanabel.cn\/?p=2963","title":{"rendered":"\u82cf\u5dde\u5927\u5b66\u57fa\u7840\u6570\u5b66\u7855\u58eb\/\u535a\u58eb\u7814\u7a76\u751f\u8bfe\u7a0b\u6559\u5b66\u5927\u7eb2"},"content":{"rendered":"<p>\u4e4b\u6240\u4ee5\u8f6c\u8f7d\u81f3\u6b64, \u662f\u5e0c\u671b\u770b\u5230\u5dee\u8ddd. \u539f\u6587\u94fe\u63a5\u5728<a href=\"http:\/\/math.suda.edu.cn\/News\/NewsDetail.aspx?ID=494\" target=\"_blank\">\u8fd9\u91cc<\/a>.<\/p>\n<div class=\"newsBody\">\n<h3 class=\"style1\" align=\"center\">\u82cf\u5dde\u5927\u5b66\u7814\u7a76\u751f\u8bfe\u7a0b\u6559\u5b66\u5927\u7eb2<\/h3>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010101\u3000<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e00\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u4ee3\u6570\u57fa\u7840<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aBasic Algebra<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u57fa\u7840\u8bfe\u3000\u3000\u3000\u3000\u5b66\u5206\uff1a3\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u6388\u8bfe\u6559\u5e08\uff1a<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6570\u5b66\u4e13\u4e1a\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u62bd\u8c61\u4ee3\u6570\u57fa\u7840<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u4e3a\u4ece\u4e8b\u6570\u5b66\u7814\u7a76\u6253\u4e0b\u4ee3\u6570\u65b9\u9762\u7684\u57fa\u7840<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">\u7fa4\u8bba\u7684\u8fdb\u4e00\u6b65\u8ba8\u8bba\uff1b\u6a21\u8bba\u57fa\u7840\uff1b\u6709\u9650\u57df\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u7b14\u8bd5<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">T. W. Hungerford, \u4ee3\u6570\u5b66<\/p>\n<p><!--more--><\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010102<\/span><\/span> \u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e00\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u5b9e\u5206\u6790<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a Real Analysis<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u57fa\u7840\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6570\u5b66\u4e13\u4e1a\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u5b9e\u53d8\u51fd\u6570<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a<\/p>\n<p class=\"style1\">\u5c06\u201c\u5b9e\u53d8\u51fd\u6570\u201d\u4e2d\u5728$\\R^n$\u6846\u67b6\u4e0b\u5c55\u5f00\u7684\u7406\u8bba\u62bd\u8c61\u63d0\u9ad8\u4e00\u822c\u53ef\u6d4b\u7a7a\u95f4\u548c\u62d3\u6251\u7a7a\u95f4\u6846\u67b6\u4e0b\u7684\u62bd\u8c61\u79ef\u5206\u548cBovel\u6d4b\u5ea6\u7406\u8bba\uff0c\u638c\u63e1\u62bd\u8c61$Lp(\\mu)$\u7a7a\u95f4\u7684\u57fa\u672c\u6027\u8d28\u3001Hilbert\u7a7a\u95f4\u548cBanach\u7a7a\u95f4\u7684\u57fa\u672c\u7406\u8bba\uff0c\u63d0\u9ad8\u62bd\u8c61\u601d\u7ef4\u548c\u903b\u8f91\u63a8\u7406\u80fd\u529b\uff0c\u4e3a\u5b66\u4e60\u540e\u7ee7\u7406\u8bba\u6253\u4e0b\u575a\u5b9e\u57fa\u7840\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u62bd\u8c61\u79ef\u5206\uff089\uff09\uff1b2\uff0e\u6b63Bovel\u6d4b\u5ea6\uff0815\uff09\uff1b3\uff0eLp-\u7a7a\u95f4\uff089\uff09\uff1b<\/p>\n<p class=\"style1\">4\uff0eHilbert\u7a7a\u95f4\u7406\u8bba\uff1b5\uff0eBanach\u7a7a\u95f4\u7406\u8bba\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u7b14\u8bd5<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">W. Rudin, Real and Complex Analysis, Mcgran-Hill, New York, 1966.<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">E. Hewitt and K. Stromberg, Real and Abstract Analysis, Springer-Verlag, New York, Heidelberg, Berlin, 1965.<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010103\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000<\/span><\/span>\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e00\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u5fae\u5206\u6d41\u5f62<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a Differential Manifold<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u57fa\u7840\u8bfe\u5b66\u5206\uff1a2\u603b\u5b66\u65f6\uff1a36<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6570\u5b66\u4e13\u4e1a\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u66f2\u7ebf\u66f2\u9762\u79ef\u5206\u53ca\u516c\u5f0f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a<\/p>\n<p class=\"style1\">\u5fae\u5206\u6d41\u5f62\u6982\u5ff5\uff0c\u5b9a\u5411\uff0c\u5fae\u5206\u5f0f\uff0c\u5fae\u5206\u5f0f\u5728\u5b9a\u5411\u533a\u57df\u4e0a\u79ef\u5206\uff0cStokes\u516c\u5f0f\uff0c\u4e00\u3001\u4e8c\u4e2a\u4e0d\u5e73\u51e1\u5e94\u7528<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010104<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e00\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u6cdb\u51fd\u5206\u6790<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a Functional Analysis<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u57fa\u7840\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6570\u5b66\u4e13\u4e1a\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u5b9e\u53d8\u51fd\u6570\uff0c\u6cdb\u51fd\u5206\u6790\u57fa\u7840<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a<\/p>\n<p class=\"style1\">\u638c\u63e1\u6cdb\u51fd\u5206\u6790\u6700\u57fa\u672c\u6700\u91cd\u8981\u7684\u51e0\u4e2a\u65b9\u9762\u7684\u5185\u5bb9\u53ca\u5176\u601d\u60f3\u65b9\u6cd5\uff0c\u80fd\u719f\u7ec3\u5730\u5c06\u6cdb\u51fd\u5206\u6790\u7684\u77e5\u8bc6\u8fd0\u7528\u4e8e\u6240\u5b66\u4e13\u4e1a\u53ca\u4e13\u95e8\u8bfe\u9898\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u62d3\u6251\u7ebf\u6027\u7a7a\u95f4\uff0815\uff09\uff1b2\uff0e\u5e7f\u4e49\u51fd\u6570\u4ecb\u7ecd\uff086\uff09\uff1b 3\uff0eBanach \u4ee3\u6570\uff089\uff09\uff1b<\/p>\n<p class=\"style1\">4\uff0e\u975e\u7ebf\u6027\u5206\u6790\u521d\u6b65\uff0815\uff09\uff1b5\uff0e\u4e0d\u52a8\u70b9\u5b9a\u7406\uff083\uff09\uff1b<\/p>\n<p class=\"style1\">\u6b64\u5916\uff0c\u53ef\u5728\u4ee5\u4e0b\u4efb\u9009\u4e00\u90e8\u5206\u4ecb\u7ecd\uff1a\uff086\u5b66\u65f6\uff09<\/p>\n<p class=\"style1\">(1) \u51f8\u5206\u6790\u4e0e\u975e\u5149\u6ed1\u5206\u6790\uff1b(2) \u7b97\u5b50\u534a\u7fa4\u4e0e\u904d\u5386\u7406\u8bba\uff1b(3) \u62d3\u6251\u53d8\u7406\u8bba\uff1b<\/p>\n<p class=\"style1\">(4) \u53d8\u5206\u6cd5\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u7b14\u8bd5<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">[1] \u590f\u9053\u884c\u7b49\uff0c\u6cdb\u51fd\u5206\u6790\u7b2c\u4e8c\u6559\u7a0b\uff0c\u9ad8\u7b49\u6559\u80b2\u51fa\u7248\u793e\uff0c\u5317\u4eac\uff0c1987\u5e74\u3002<\/p>\n<p class=\"style1\">[2] \u5218\u57f9\u5fb7\uff0c\u62d3\u6251\u7ebf\u6027\u7a7a\u95f4\u57fa\u7840\uff08\u9762\u541121\u4e16\u7eaa\u7814\u7a76\u751f\u6559\u6750\uff09\uff0c\u6b66\u6c49\u5927\u5b66\u51fa\u7248\u793e\uff0c\u6b66\u6c49\uff0c2002\u5e74\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010105<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e8c\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u4ee3\u6570\u62d3\u6251<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a Algebraic Topology<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u57fa\u7840\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6570\u5b66\u4e13\u4e1a\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u70b9\u96c6\u62d3\u6251\u57fa\u7840\uff0c\u6cdb\u51fd\u5206\u6790\uff0c\u62bd\u8c61\u4ee3\u6570<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a<\/p>\n<p class=\"style1\">\u901a\u8fc7\u540c\u4f26\u8bba\u548c\u5947\u5f02\u540c\u8c03\u8bba\u57fa\u672c\u5185\u5bb9\u7684\u5b66\u4e60\uff0c\u8ba4\u8bc6\u4ece\u62d3\u6251\u5230\u4ee3\u6570\uff0c\u518d\u5230\u62d3\u6251\u7684\u65b9\u6cd5\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u8303\u7574\u4e0e\u51fd\u5b50\u7684\u6982\u5ff5\uff084\uff09\uff1b2\uff0e\u62d3\u6251\u57fa\u672c\u6982\u5ff5\uff086\uff09\uff1b3\uff0e\u5355\u5f62\uff082\uff09\uff1b<\/p>\n<p class=\"style1\">4\uff0e\u57fa\u672c\u7fa4\uff0811\uff09\uff1b5\uff0e\u5947\u5f02\u540c\u8c03\u8bba\uff0811\uff09\uff1b6\uff0e\u957f\u6b63\u5408\u5e8f\u5217\uff0810\uff09\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377\u7b14\u8bd5<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a Joseph Z. Rotman &#8220;An Introduction to Algebraic Topology&#8221;<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u4e66\uff1a<\/p>\n<p class=\"style1\">\u2460 Jams. Muncres, &#8220;Algebraic Topology&#8221;<\/p>\n<p class=\"style1\">\u2461 Armstrong, &#8220;Basic Topology&#8221;<\/p>\n<p class=\"style1\">\u2462\u5c24\u627f\u4e1a\uff0c\u201c\u57fa\u7840\u62d3\u6251\u5b66\u8bb2\u4e49\u201d<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010106<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e00\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u9ece\u66fc\u51e0\u4f55<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a Remannian Geometry<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u57fa\u7840\u8bfe\u5b66\u5206\uff1a2\u603b\u5b66\u65f6\uff1a36<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6570\u5b66\u4e13\u4e1a\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u89e3\u6790\u51e0\u4f55\uff0c\u5fae\u79ef\u5206<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a<\/p>\n<p class=\"style1\">R3\u4e2d\u66f2\u7ebf\uff0c\u66f2\u9762\u51e0\u4f55\u5b66\u53ca\u63a8\u5e7f\uff08\u5fc5\u8bb2\u9ad8\u65af\u7684\u7edd\u597d\u5b9a\u7406\uff09<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010107<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e00\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u6570\u8bba\u5bfc\u5f15<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aAn Introduction to Number Theory<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u57fa\u7840\u8bfe\u5b66\u5206\uff1a4\u603b\u5b66\u65f6\uff1a72<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6570\u5b66\u4e13\u4e1a\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u521d\u7b49\u6570\u8bba\uff0c\u7ebf\u6027\u4ee3\u6570\uff0c\u62bd\u8c61\u4ee3\u6570\uff0c\u6570\u5b66\u5206\u6790<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u5728\u672c\u79d1\u300a\u521d\u7b49\u6570\u8bba\u300b\u7684\u57fa\u7840\u4e0a\uff0c\u8fdb\u4e00\u6b65\u8bb2\u6388\u6570\u8bba\u4e2d\u7684\u4e00\u4e9b\u91cd\u8981\u5185\u5bb9\u4e0e\u65b9\u6cd5\uff0c\u901a\u8fc7\u8fd9\u95e8\u8bfe\u7a0b\uff0c\u4e00\u65b9\u9762\u4f7f\u5b66\u751f\u5bf9\u672c\u79d1\u4e2d\u7684\u51e0\u95e8\u4e3b\u8981\u8bfe\u7a0b\u6709\u4e00\u4e2a\u7efc\u5408\u6027\u7684\u8ba4\u8bc6\uff1b\u53e6\u4e00\u65b9\u9762\uff0c\u4e3a\u4ed6\u4eec\u7814\u7a76\u751f\u9636\u6bb5\u7684\u5b66\u4e60\u53ca\u7814\u7a76\u63d0\u4f9b\u5fc5\u8981\u7684\u6570\u8bba\u77e5\u8bc6\u4e0e\u80cc\u666f\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">\u672c\u8bfe\u7a0b\u7684\u4e3b\u8981\u5185\u5bb9\u4e3a\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u4e8c\u6b21\u4e92\u53cd\u5b9a\u5f8b\u4e0e\u4e8c\u6b21\u9ad8\u65af\u548c\uff1b2\uff0e\u9ad8\u65af\u548c\u4e0e\u96c5\u53ef\u6bd4\u548c\uff1b<\/p>\n<p class=\"style1\">3\uff0e\u4e09\u6b21\u53ca\u56db\u6b21\u4e92\u53cd\u5b9a\u5f8b\uff1b4\uff0e\u4e8c\u6b21\u57df\u53ca\u5206\u5706\u57df\uff1b<\/p>\n<p class=\"style1\">5\uff0e\u6709\u9650\u57df\u4e0a\u7684\u65b9\u7a0b\u53ca\u4e00\u4e9b\u4e0d\u5b9a\u65b9\u7a0b\uff1b6\uff0e\u7b97\u672f\u7ea7\u6570\u4e2d\u7684\u5e38\u6570\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u7b14\u8bd5<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">K. Ireland \u4e0eM. Rosen &#8220;A Classical Introduction to Modern Number Theory &#8221; (GTM, 84), Springer, 1990.<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u534e\u7f57\u5e9a\uff0c\u300a\u6570\u8bba\u5bfc\u5f15\u300b\uff0c\u79d1\u5b66\u51fa\u7248\u793e\uff0c1979\u5e74\u3002<\/p>\n<p class=\"style1\">2\uff0e\u6f58\u627f\u6d1e\u3001\u6f58\u627f\u5f6a\uff0c\u300a\u89e3\u6790\u6570\u8bba\u57fa\u7840\u300b\uff0c\u79d1\u5b66\u51fa\u7248\u793e\uff0c1991\u5e74\u3002<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010108<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e8c\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1aRiemann\u51e0\u4f55(II)<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aRiemannian geometry<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u3000\u4e13\u4e1a\u8bfe\u3000\u3000\u3000\u3000\u3000\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a60<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u5468\u5efa\u4f1f<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u5fae\u5206\u51e0\u4f55\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u5fae\u5206\u6d41\u5f62,Riemann\u51e0\u4f55I.<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u5728\u5b66\u4e60\u5fae\u5206\u6d41\u5f62\u53ca\u4e00\u4e9b\u7b80\u5355Riemann\u51e0\u4f55\u7684\u57fa\u7840\u4e0a\u7cfb\u7edf\u5b66\u4e60Riemann\u51e0\u4f55\u7684\u77e5\u8bc6\uff0c\u4ee5\u638c\u63e1\u7814\u7a76\u5fae\u5206\u51e0\u4f55\u4e0e\u62d3\u6251\u7684\u57fa\u672c\u5de5\u5177\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a\u6bcf\u54683\u5b66\u65f6\uff0c\u4e3b\u8981\u4ecb\u7ecdRiemann\u8054\u7edc, \u66f2\u7387, Jacobi\u573a\u7406\u8bba, \u5b50\u6d41\u5f62\u7406\u8bba, \u6574\u4f53\u5fae\u5206\u51e0\u4f55\u7684\u4e00\u4e9b\u5b9a\u7406, Hodge\u7406\u8bba\u4ecb\u7ecd\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377\u3001\u5f00\u5377\u76f8\u7ed3\u5408<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a\u9648\u7ef4\u6853, \u674e\u5174\u6821\uff1a\u9ece\u66fc\u51e0\u4f55\u5f15\u8bba<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">1\uff0eS. Kabayashi and K. Nomizu, Foundations of differential geometry,I, II.<\/p>\n<p class=\"style1\">2\uff0eW. Klingenberg, Riemannian geometry.<\/p>\n<hr \/>\n<p class=\"style1\" align=\"left\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010109<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e09\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u7ea4\u7ef4\u4e1b\u7406\u8bba\u4e0e\u793a\u6027\u7c7b<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aFibre bundle and characteristic classes<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u3000\u3000\u3000\u3000\u5b66\u5206\uff1a4\u603b\u5b66\u65f6\uff1a72<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u5468\u5efa\u4f1f<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u5fae\u5206\u51e0\u4f55\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u5fae\u5206\u6d41\u5f62, Riemann\u51e0\u4f55, \u674e\u7fa4, \u4ee3\u6570<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u7ea4\u7ef4\u4e1b\u7406\u8bba\u4e0e\u793a\u6027\u7c7b\u662f\u7814\u7a76\u73b0\u4ee3\u5fae\u5206\u51e0\u4f55\u4e0e\u62d3\u6251\u7684\u91cd\u8981\u5de5\u5177\u3002\u672c\u8bfe\u7a0b\u65e8\u5728\u8ba9\u7814\u7a76\u751f\u4e86\u89e3\u5e76\u638c\u63e1\u7ea4\u7ef4\u4e1b\u7406\u8bba\u4e0e\u793a\u6027\u7c7b\u7684\u4e00\u822c\u77e5\u8bc6\u53ca\u5b83\u4eec\u7684\u4e00\u4e9b\u8fd0\u7528\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">\u6bcf\u54684\u5b66\u65f6\uff0c\u4e3b\u8981\u4ecb\u7ecd\u77e2\u4e1b\u3001\u4e3b\u4e1b\u7684\u5b9a\u4e49, \u6784\u9020\u53ca\u8054\u7edc\u7406\u8bba\uff1bGrassmann\u6d41\u5f62\u53ca\u5176\u4e0a\u7684\u51e0\u4f55\u3001\u77e2\u4e1b\u4e0e\u4e3b\u4e1b\u4e0a\u793a\u6027\u7c7b\u7684\u5b9a\u4e49\u3001\u6027\u8d28\uff1b Atiyah-Singer\u6307\u6807\u5b9a\u7406\u4ecb\u7ecd, \u793a\u6027\u7c7b\u7684\u4e00\u4e9b\u8fd0\u7528\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377\u3001\u5f00\u5377\u76f8\u7ed3\u5408<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a\u5468\u5efa\u4f1f\u7f16\u8bb2\u4e49\uff0c\u7ea4\u7ef4\u4e1b\u7406\u8bba\u4e0e\u793a\u6027\u7c7b<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">1\uff0e S. Kabayashi and K. Nomizu, Foundations of differential geometry, II.<\/p>\n<p class=\"style1\">2\uff0e D. Huasemoller,Fibre bundles, GTM, 20.<\/p>\n<p class=\"style1\">3\uff0e J. Milnor and J. Stasheff, Characteristic classes.<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010110<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e8c\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u62d3\u6251\u7a7a\u95f4\u8bba<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u3000\u4e13\u4e1a\u8bfe\u3000\u5b66\u5206\uff1a4\u603b\u5b66\u65f6\uff1a72<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u607d\u81ea\u6c42<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u4e00\u822c\u62d3\u6251\u5b66\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a.\u4e00\u822c\u62d3\u6251\u5b66\u57fa\u672c\u5185\u5bb9<\/p>\n<p class=\"style1\">\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u719f\u6089\u4e00\u4e9b\u91cd\u8981\u7684\u62d3\u6251\u7a7a\u95f4\uff0c\u5b83\u4eec\u4e4b\u95f4\u7684\u8054\u7cfb\u4ee5\u53ca\u5b83\u4eec\u5728\u6620\u5c04\u4e0e\u5176\u5b83\u62d3\u6251\u8fd0\u7b97\u4e0b\u7684\u53d8\u5316\uff0c\u4e3a\u8fdb\u4e00\u6b65\u5b66\u4e60\u6253\u597d\u57fa\u7840\u3002<\/p>\n<p class=\"style1\">\u5185\u5bb9\uff1a\u62d3\u6251\u7a7a\u95f4\u6982\u5ff5\uff0c\u5bfc\u51fa\u62d3\u6251\u7684\u65b9\u6cd5\u3001\u5206\u79bb\u516c\u7406\u3001\u53ef\u6570\u516c\u7406\u3001\u8fde\u901a\u7a7a\u95f4\u7d27\u7a7a\u95f4\u3001\u5c40\u90e8\u7d27\u7a7a\u95f4\u4e0ek \u7a7a\u95f4\u5ea6\u91cf\u7a7a\u95f4\u4e0e\u5ea6\u91cf\u5316\u5b9a\u7406\u4eff\u7d27\u7a7a\u95f4\u4e0e\u5176\u4ed6\u8986\u76d6\u6027\u8d28<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a\u300a\u62d3\u6251\u7a7a\u95f4\u8bba\u300b\uff0c\u9ad8\u56fd\u58eb\u8457\uff0c\u79d1\u5b66\u51fa\u7248\u793e\uff0c2000\u5e74<\/p>\n<p class=\"style1\">\u53c2\u8003\u6587\u732e\uff1a\u300aGeneral Topology\u300b, R. Engelking, Wroclawska, 1977<\/p>\n<hr \/>\n<p class=\"style1\" align=\"left\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010111<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e09\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u5e7f\u4e49\u5ea6\u91cf\u7a7a\u95f4<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u3000\u3000\u3000\u3000\u5b66\u5206\uff1a2\u603b\u5b66\u65f6\uff1a36<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u607d\u81ea\u6c42<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u4e00\u822c\u62d3\u6251\u5b66\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u62d3\u6251\u7a7a\u95f4\u8bba\u4e0e\u8986\u76d6\u6027\u8d28<\/p>\n<p class=\"style1\">\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u719f\u6089\u8fdb\u884c\u5e7f\u4e49\u5ea6\u91cf\u7a7a\u95f4\u65b9\u5411\u7814\u7a76\u6240\u9700\u8981\u7684\u57fa\u7840<\/p>\n<p class=\"style1\">\u5185\u5bb9\uff1a\u57fa\u672c\u5ea6\u91cf\u5316\u5b9a\u7406\uff0cMoore \u7a7a\u95f4\u4e0e\u5f31\u8986\u76d6\u6027\u8d28\u7684\u590d\u4e60G\u5bf9\u89d2\u7ebf\u4e0e\u6b21\u53ef\u5ea6\u91cf\u7a7a\u95f4\u5ea6\u91cf\u7a7a\u95f4\u4e0e\u7d27\u7a7a\u95f4\u7684\u5171\u540c\u63a8\u5e7f\u7f51\u4e0e\u6709\u5173\u7684\u7a7a\u95f4\u5206\u5c42\u7a7a\u95f4\u4e0e\u6709\u5173\u95ee\u9898\u5177\u6709\u70b9\u53ef\u6570\u57fa\u7684\u7a7a\u95f4\u534a\u5ea6\u91cf\u7a7a\u95f4\u4e0e\u5bf9\u79f0\u5ea6\u91cf\u7a7a\u95f4\u62df\u5ea6\u91cf\u7a7a\u95f4\u4e0e\u6709\u5173\u7a7a\u95f4 k \u7f51\u4e0e\u6709\u5173\u7684\u7a7a\u95f4<\/p>\n<p class=\"style1\">\u8003\u8bd5\uff1a\u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750:\u300aGeneralized Metric Spaces\u300b, G. Gruenhage,\u9009\u81ea\u3008\u3008Handbook of Set-Theoretic Topology\u3009\u3009<\/p>\n<p class=\"style1\">\u53c2\u8003\u6587\u732e\uff1a\u3008\u3008\u5e7f\u4e49\u5ea6\u91cf\u7a7a\u95f4\u4e0e\u6620\u5c04\u3009\u3009\uff0c\u6797\u5bff\u8457\uff0c\u79d1\u5b66\u51fa\u7248\u793e\uff0c1995<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010112<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e8c\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u51e0\u4f55\u62d3\u6251\u57fa\u7840<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a4\u603b\u5b66\u65f6\uff1a72<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u62d3\u6251\u4e0e\u52a8\u529b\u7cfb\u7edf\u65b9\u5411\u7684\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u62d3\u6251\u5b66\u57fa\u7840\u77e5\u8bc6\uff0c\u4ee3\u6570\u57fa\u7840<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a<\/p>\n<p class=\"style1\">\u4e86\u89e3\u6b27\u6c0f\u7a7a\u95f4\u548c\u5b50\u7a7a\u95f4\u7684\u62d3\u6251\u6027\u8d28\u53ca\u4e00\u4e9b\u57fa\u672c\u7684\u62d3\u6251\u5de5\u5177<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">\u51fd\u6570\u5b9a\u7406\u3001\u8fde\u7eed(\u5b9e)\u51fd\u6570\u73af\u3001\u7403\u9762\u7684\u6620\u5c04\uff0cEn\u7684\u62d3\u6251\uff0c\u4f26\u578b<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u5f00\u5377\u7b14\u8bd5<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">Dugudji: Topology<\/p>\n<p class=\"style1\">F. Van Mill: Infinite Dimensianal Topology<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010113<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e09\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u8fde\u7eed\u7edf\u7406\u8bba<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a Theory of Continuum<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a4\u603b\u5b66\u65f6\uff1a72<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u62d3\u6251\u4e0e\u52a8\u529b\u7cfb\u7edf\u65b9\u5411\u7684\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u62d3\u6251\u5b66\u57fa\u7840\u77e5\u8bc6<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a<\/p>\n<p class=\"style1\">\u4e86\u89e3\u8fde\u7eed\u7edf\u7406\u8bba\u7684\u57fa\u7840\u53ca\u51e0\u79cd\u4e3b\u8981\u7684\u8fde\u7eed\u7edf\u7c7b\u548c\u7814\u7a76\u65b9\u6cd5<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">\u8fde\u7eed\u7edf\u7684\u4f8b\u5b50\u548c\u7f51\u4ea4\uff0c\u8fde\u7eed\u7edf\u7684\u9006\u6781\u9650\uff0c\u8fde\u7eed\u7edf\u7684\u5206\u89e3\uff0c\u96c6\u5408\u7684\u6781\u9650\uff0c\u8fb9\u754c\u78b0\u649e\u5b9a\u7406\uff0c\u4e00\u822c\u6620\u5c04\u5b9a\u7406\uff08\u6bcf\u90e8\u5206\u5b89\u639212\u5b66\u65f6\uff09<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u5f00\u5377\u7b14\u8bd5<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">S. B. Nadler , &#8220;Continuum Theory&#8221;<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7: <span class=\"style2\"><span style=\"color: #ff0000;\">07010114<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u65f6:\u7b2c\u4e8c\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0:\u4ee3\u6570\u5b66<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0: Algebra<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28:\u4e13\u4e1a\u8bfe\u5b66\u5206:3\u603b\u5b66\u65f6:54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d:\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08:<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61: \u4ee3\u6570\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6: \u4ee3\u6570\u57fa\u7840<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42:<\/p>\n<p class=\"style1\">\u5728\u4ee3\u6570\u57fa\u7840\u8bfe\u7684\u57fa\u7840\u4e0a\u5168\u9762\u7cfb\u7edf\u5730\u8bb2\u6388\u4ee3\u6570\u5b66\u7684\u57fa\u7840\u77e5\u8bc6,\u4e3a\u4ece\u4e8b\u4ee3\u6570\u5404\u4e13\u95e8\u65b9\u5411\u7684\u8fdb\u4e00\u6b65\u5b66\u4e60\u548c\u7814\u7a76\u6253\u597d\u57fa\u7840.<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392:<\/p>\n<p class=\"style1\">\u73af\u7684\u7ed3\u6784\uff1b\u6a21\u7684\u8fdb\u4e00\u6b65\u8ba8\u8bba\uff1b<\/p>\n<p class=\"style1\">\u65b9\u7a0b\u7684\u4f3d\u7f57\u534e\u7406\u8bba\uff1b\u57df\u7684\u7ed3\u6784\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f: \u5f00\u5377\u4e0e\u95ed\u5377\u7ed3\u5408<\/p>\n<p class=\"style1\">\u6559\u6750:<\/p>\n<ul class=\"style1\">\n<li>N. Jacobson, Basic Algebra I, II,W. Hfreeman and Company, San<\/li>\n<\/ul>\n<p class=\"style1\">Francisco, 1974<\/p>\n<ul class=\"style1\">\n<li>T. W. Hungerford, \u4ee3\u6570\u5b66, \u6e56\u5357\u6559\u80b2\u51fa\u7248\u793e, 1984<\/li>\n<\/ul>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u4e66:<\/p>\n<ul class=\"style1\">\n<li>B. L. \u8303\u5fb7\u74e6\u5c14\u767b, \u4ee3\u6570\u5b66, I, \u79d1\u5b66\u51fa\u7248\u793e, 1978<\/li>\n<li>\u8c22\u90a6\u6770, \u62bd\u8c61\u4ee3\u6570, \u4e0a\u6d77\u79d1\u6280\u51fa\u7248\u793e\uff0c1982<\/li>\n<li>G. \u4f2f\u514b\u970d\u592b, S. \u9ea6\u514b\u83b1\u6069, \u8fd1\u4e16\u4ee3\u6570\u6982\u8bba, \u4e0a, \u4e0b, \u4eba\u6c11\u6559\u80b2\u51fa\u7248\u793e, 1979<\/li>\n<\/ul>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010115<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e8c\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u540c\u8c03\u4ee3\u6570<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aHomological Algebra<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u3000\u3000\u3000\u3000\u5b66\u5206\uff1a3\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u603b\u5b66\u65f6\uff1a60<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u6388\u8bfe\u6559\u5e08\uff1a\u5510\u5fe0\u660e<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u4ea4\u6362\u4ee3\u6570\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u4ee3\u6570\u5b66<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u4e3a\u4ece\u4e8b\u4ea4\u6362\u4ee3\u6570\u65b9\u5411\u7684\u7814\u7a76\u6253\u4e0b\u57fa\u7840<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">\u590d\u5f62\u4e0e\u540c\u8c03\u6a21\uff1b\u8bf1\u5bfc\u51fd\u5b50\uff1bExt \uff1bTor\uff1b\u540c\u8c03\u7ef4\u6570\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u7b14\u8bd5<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1aJ. J. Rotman, Introduction to homological algebra<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">0701010116 <\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u65f6:\u7b2c\u4e8c\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0:\u7fa4\u8bba\uff08\u2160\uff09<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0:The Theory of Groups<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28: \u4e13\u4e1a\u8bfe\u5b66\u5206:4\u603b\u5b66\u65f6:80<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d:\u4ee3\u6570\u6559\u7814\u5ba4\u6388\u8bfe\u6559\u5e08\uff1a\u9ece\u5148\u534e<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61:\u7fa4\u8bba\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6:\u4ee3\u6570\u5b66<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42:<\/p>\n<p class=\"style1\">\u5168\u9762\u7cfb\u7edf\u5730\u8bb2\u6388\u7fa4\u8bba\u7684\u57fa\u7840\u77e5\u8bc6, \u4f7f\u5b66\u751f\u8f83\u597d\u5730\u638c\u63e1\u7fa4\u8bba\u7684\u4e00\u822c\u65b9\u6cd5\u548c\u6280\u5de7\uff0c\u4e3a\u8fdb\u5165\u7fa4\u8bba\u65b9\u5411\u7684\u5b66\u4e60\u548c\u7814\u7a76\u6253\u597d\u57fa\u7840.<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392:<\/p>\n<ul class=\"style1\">\n<li>\u7fa4\u8bba\u7684\u57fa\u672c\u6982\u5ff512 \u5b66\u65f6<\/li>\n<li>\u7fa4\u5728\u96c6\u5408\u4e0a\u7684\u4f5c\u7528\u53ca\u5176\u5e94\u752816 \u5b66\u65f6<\/li>\n<li>\u7fa4\u7684\u6784\u9020\u7406\u8bba\u521d\u6b6512 \u5b66\u65f6<\/li>\n<li>\u5e42\u96f6\u7fa4\u548cp-\u7fa48 \u5b66\u65f6<\/li>\n<li>\u53ef\u89e3\u7fa416 \u5b66\u65f6<\/li>\n<li>\u6709\u9650\u7fa4\u8868\u793a\u8bba\u521d\u6b6516 \u5b66\u65f6<\/li>\n<\/ul>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f: \u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750:<\/p>\n<ul class=\"style1\">\n<li>\u5f90\u660e\u66dc\uff0c\u6709\u9650\u7fa4\u5bfc\u5f15\uff0c\u79d1\u5b66\u51fa\u7248\u793e, 1999<\/li>\n<li>\u5f20\u8fdc\u8fbe\uff0c\u6709\u9650\u7fa4\u6784\u9020\uff0c\u79d1\u5b66\u51fa\u7248\u793e,1982<\/li>\n<\/ul>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u4e66<strong>:<\/strong><\/p>\n<ul class=\"style1\">\n<li>M. \u8d6b\u5c14, \u7fa4\u8bba\uff0c\u79d1\u5b66\u51fa\u7248\u793e, 1982<\/li>\n<li>B. \u80e1\u4f69\u7279\uff0c\u6709\u9650\u7fa4\u8bba\uff0cI\uff0c\u798f\u5efa\u4eba\u6c11\u51fa\u7248\u793e, 1992<\/li>\n<li>Derek J. Robinson, A Course in the Theory of Groups, Springer-Verlag, New YorkHeidelbergBerlin, 1982<\/li>\n<li>John S. Rose,A Course on Group Theory, CambridgeUniversity Press,1938<\/li>\n<\/ul>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010117<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e09\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u4ee3\u6570\u7f16\u7801<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aCoding Theory<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u5d14\u6770<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u4ee3\u6570\u7f16\u7801\u4e13\u4e1a\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u4ee3\u6570\u5b66<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u5b66\u4e60\u4ee3\u6570\u7f16\u7801\u7684\u4e3b\u8981\u7406\u8bba\u77e5\u8bc6<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">\u6570\u5b66\u80cc\u666f\uff086\uff09\uff0cShannon \u7406\u8bba\uff084\uff09\uff0c\u7ebf\u6027\u7801\uff088\uff09\uff0c\u51e0\u79cd\u7801\u7684\u4ecb\u7ecd\uff084\uff09\uff0c\u7801\u754c\uff086\uff09\uff0c\u5faa\u73af\u7801\uff0810\uff09\uff0c\u4ee3\u6570\u51e0\u4f55\u7801\uff088\uff09\uff0c\u5377\u79ef\u7801\uff088\uff09\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377\u8003\u8bd5<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">J. H. van Lint, Introduction to Coding Theory, Springer-Verlag New York Inc, 1982.<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">[1] Berlekamp, E. R., Algebraic Coding Theory, New York: McGraw-Hill, 1968.<\/p>\n<p class=\"style1\">[2] MacWilliams, F. J. and Sloane, N. J. A., The Theory ofError-Correcting Codes, Amsterdam New York-Oxford: North Holland, 1977.<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010119<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c2\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u89e3\u6790\u51fd\u6570\u51e0\u4f55\u7406\u8bba<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u65b9\u540d\u79f0\uff1aGeometry of analytic functions<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a2\u603b\u5b66\u65f6\uff1a36<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u9648\u654f<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u590d\u5206\u6790\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u5927\u5b66\u590d\u53d8\u51fd\u6570\u8bfe\u7a0b<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u7684\u76ee\u7684\u8981\u6c42\uff1a\u5b66\u4e60\u591a\u8fde\u901a\u533a\u57df\u4e0a\u5355\u53f6\u51fd\u6570\u7684\u51e0\u4f55\u6027\u8d28\uff0c\u5e76\u638c\u63e1\u6709\u5173\u6280\u80fd\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u591a\u8fb9\u5f62\u7684\u5171\u5f62\u6620\u7167\u4e0eSchwarz-Christoffel\u516c\u5f0f\uff0810\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">2\uff0e\u8c03\u548c\u51fd\u6570\u7684Harnack\u539f\u7406\uff0810\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">3\uff0eDirichlet\u95ee\u9898\uff0cGreen\u51fd\u6570\uff0c\u591a\u8fde\u901a\u57df\u7684\u5178\u578b\u6620\u7167\uff0816\u5b66\u65f6\uff09\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a\u590d\u5206\u6790\uff08L. V. Ahlfors\u8457\uff09<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a\u590d\u53d8\u51fd\u6570\u7684\u51e0\u4f55\u7406\u8bba\uff08\u6208\u9c81\u8f9b\u8457\uff09<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010120<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c3\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u79bb\u6563\u7fa4\u4e0e\u53cc\u66f2\u6d41\u5f62<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aDiscrete groups and hyperbolic manifolds<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u9648\u654f<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u590d\u5206\u6790\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u4ee3\u6570\uff0c\u62d3\u6251\uff0c\u53cc\u66f2\u51e0\u4f55\u57fa\u7840\uff0c\u5fae\u5206\u6d41\u5f62\uff0c\u9ece\u66fc\u66f2\u9762\u3002<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u5b66\u4e60\u79bb\u6563\u7fa4\u53ca\u53cc\u66f2\u6d41\u5f62\u7684\u91cd\u8981\u6838\u5fc3\u7406\u8bba\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0en\u7ef4\u7a7a\u95f4\u4e2dMobius\u53d8\u6362\u7684\u7279\u5f81\uff0810\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">2\uff0eMobius\u7fa4\u7684\u79bb\u6563\u6027\u5224\u522b\uff088\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">3\uff0e\u57fa\u672c\u57df\uff088\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">4\uff0eFuchsian \u7fa4\u53caKleinian\u7fa4\u4e0e\u53cc\u66f2\u6d41\u5f62\uff0818\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">5\uff0e\u521a\u6027\u95ee\u9898\uff0810\u5b66\u65f6\uff09\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377\u3002<\/p>\n<p class=\"style1\">\u6559\u6750\uff1aThe geometry of discrete groups(A.F.Beardon)<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">1. Lectures on hyperbolic geometry(R.Benedetti,C.Petronio),<\/p>\n<p class=\"style1\">2. Discrete groups in space and uniformization problems(B.N.Apanasov),<\/p>\n<p class=\"style1\">3. Automorphisms of surfaces after Nielsen and Thurston(A.J.Casson, S. A. Bleiler).<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010121<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c2\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u6781\u5927\u6781\u5c0f\u539f\u7406\u53ca\u5176\u5e94\u7528\uff08I\uff09<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u65b9\u540d\u79f0\uff1aMinimax Principle with Applications\uff08I\uff09<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a2\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u9ec4\u6bc5\u751f<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6cdb\u51fd\u5206\u6790\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u300a\u5b9e\u5206\u6790\u300b\u3001\u300a\u6cdb\u51fd\u5206\u6790\u300b<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u7684\u76ee\u7684\u8981\u6c42\uff1a\u4ecb\u7ecd\u6781\u5927\u6781\u5c0f\u539f\u7406\u7684\u57fa\u672c\u7406\u8bba\u548c\u5e94\u7528\u3002\u8981\u6c42\u638c\u63e1\u5f62\u53d8\u5f15\u7406\u3001Ekeland\u53d8\u5206\u539f\u7406\uff0c\u5c71\u8def\u5f15\u7406\u53ca\u5176\u5e94\u7528\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0eSobolev\u7a7a\u95f4\uff08\u8bb2\u63886\u5b66\u65f6\uff0c\u81ea\u5b666\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">2\uff0e\u5f62\u53d8\u5f15\u7406\uff0812\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">3\uff0eEkeland\u53d8\u5206\u539f\u7406\u53ca\u5176\u5e94\u7528\uff0810\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">4\uff0e\u5c71\u8def\u5f15\u7406\u53ca\u5176\u5e94\u7528\uff08\u8bb2\u638812\u5b66\u65f6\uff0c\u81ea\u5b668\u5b66\u65f6\uff09\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">\u81ea\u7f16\u300aMinimax MethodsWith Applications toNonlinear Elliptic Partial Differential Equations\u300b\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u9646\u6587\u7aef\uff0c\u300a\u5fae\u5206\u65b9\u7a0b\u4e2d\u7684\u53d8\u5206\u65b9\u6cd5\u300b\uff0c\u56db\u5ddd\u5927\u5b66\u51fa\u7248\u793e\uff0c1995\u3002<\/p>\n<p class=\"style1\">2\uff0eP. H. Rabinowitz, \u300aMinimax Methods in Critical Point Theory with Applications to Differential Equations\u300b,CBMS Regional Conf. Ser. in Math. no.65, Amer. Math. Soc., Providence, R. I., 1986.<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010122<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c3\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u6781\u5927\u6781\u5c0f\u539f\u7406\u53ca\u5176\u5e94\u7528\uff08II\uff09<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u65b9\u540d\u79f0\uff1aMinimax Principle with Applications\uff08II\uff09<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u9ec4\u6bc5\u751f<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6cdb\u51fd\u5206\u6790\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u300a\u5b9e\u5206\u6790\u300b\u3001\u300a\u6cdb\u51fd\u5206\u6790\u300b\u3001\u300a\u6781\u5927\u6781\u5c0f\u539f\u7406\u53ca\u5176\u5e94\u7528\uff08I\uff09\u300b<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u7684\u76ee\u7684\u8981\u6c42\uff1a<\/p>\n<p class=\"style1\">\u8fdb\u4e00\u6b65\u4ecb\u7ecd\u6781\u5927\u6781\u5c0f\u539f\u7406\u7684\u57fa\u672c\u7406\u8bba\u548c\u5e94\u7528\u3002\u8981\u6c42\u638c\u63e1\u73af\u7ed5\u53ca\u5176\u5e94\u7528\uff0c\u7574\u6570\u548c\u4e8f\u683c\u7406\u8bba\u53ca\u5e94\u7528\uff0cMorse\u7406\u8bba\u521d\u6b65\u53ca\u5176\u5e94\u7528\uff0c\u96c6\u4e2d\u7d27\u6027\u539f\u7406\u53ca\u5176\u5e94\u7528\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u73af\u7ed5\u53ca\u5176\u5e94\u7528\uff0810\u5b66\u65f6\uff09\uff1b2\uff0e\u7574\u6570\u548c\u4e8f\u683c\u7406\u8bba\u53ca\u5e94\u7528\uff0812\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">3\uff0eMorse\u7406\u8bba\u521d\u6b65\u53ca\u5176\u5e94\u7528\uff0812\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">4\uff0e\u96c6\u4e2d\u7d27\u6027\u539f\u7406\u53ca\u5176\u5e94\u7528\uff0820\u5b66\u65f6\uff09\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u5f20\u606d\u5e86\uff0c\u300a\u4e34\u754c\u70b9\u7406\u8bba\u53ca\u5176\u5e94\u7528\u300b\uff0c\u4e0a\u6d77\u79d1\u6280\u51fa\u7248\u793e\uff0c1986\u3002<\/p>\n<p class=\"style1\">2\uff0eM. Willem,\u300aMinimax Theorems\u300b,Birkh?user, Berlin, 1996.<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">1\uff0eP. H. Rabinowitz, \u300aMinimax Methods in Critical Point Theory with Applications to Differential Equations\u300b,CBMS Regional Conf. Ser. in Math. no.65, Amer. Math. Soc., Providence, R. I., 1986.<\/p>\n<p class=\"style1\">2\uff0eP. L. Lions,The concentration-compactness principle in the calculus of variations,Revista Mat. Iberoamer. Vol.1, No. 1 (1985), 145-201 and Vol. 1, No. 2 (1985), 45&#8211;120.<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010123<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c2\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u62d3\u6251\u5411\u91cf\u7a7a\u95f4\uff08I\uff09<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u65b9\u540d\u79f0\uff1a Topological Vector Spaces\uff08I\uff09<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u4e18\u4eac\u8f89<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6cdb\u51fd\u5206\u6790\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u300a\u5b9e\u5206\u6790\u300b\u3001\u300a\u6cdb\u51fd\u5206\u6790\u300b<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u7684\u76ee\u7684\u8981\u6c42\uff1a<\/p>\n<p class=\"style1\">\u4ecb\u7ecd\u7ebf\u6027\u62d3\u6251\u7a7a\u95f4\uff0c\u5c40\u90e8\u51f8\u7a7a\u95f4\u6876\u5f62\u7a7a\u95f4\uff0c\u62df\u6876\u5f62\u7a7a\u95f4\uff0c\uff08F\uff09\uff0d\u7a7a\u95f4\u4e0e\uff08DF\uff09\uff0d\u7a7a\u95f4\u7684\u57fa\u672c\u7406\u8bba\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u7ebf\u6027\u62d3\u6251\u7a7a\u95f4\uff0c\u5c40\u90e8\u51f8\u7a7a\u95f4\uff0c\u5f31\u62d3\u6251\uff0c\u5f3a\u62d3\u6251\uff0cMackey\u62d3\u6251\uff0812\u5b66\u65f6\uff09\uff1b2\uff0eMackey-Arens \u5b9a\u7406\uff0c\u5bf9\u5076\u7a7a\u95f4\u4e0e\u6781\u5316\u62d3\u6251\uff0c\u53cc\u6781\u5b9a\u7406\uff0c\u4e8c\u91cd\u5bf9\u5076\u7a7a\u95f4\uff0c\u534a\u81ea\u53cd\u4e0e\u81ea\u53cd\u6027\uff0814\u5b66\u65f6\uff09\uff1b3\uff0eAlaoglu-Bourbaki\u5b9a\u7406\uff0cGrothendieck\u5b8c\u5907\u5316\u5b9a\u7406\uff0c\u8bf1\u5bfc\u6781\u9650\u4e0e\u5c04\u5f71\u6781\u9650\uff0c\u51f8\u96c6\u7684\u7aef\u70b9\u4e0e\u7aef\u5c04\u7ebf\uff0814\u5b66\u65f6\uff09\uff1b4\uff0eKrein-Milman\u5b9a\u7406\u53ca\u5176\u53d8\u5f62\uff0c\u6876\u5f62\u7a7a\u95f4\uff0c\u62df\u6876\u5f62\u7a7a\u95f4\uff0c\u6709\u754c\u578b\u7a7a\u95f4\uff0c\uff08F\uff09\uff0d\u7a7a\u95f4\u4e0e\uff08DF\uff09\uff0d\u7a7a\u95f4\uff0814\u5b66\u65f6\uff09\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750\uff1aG. K?THE, Topological Vector Spaces I,Sringer-Verlag, Berlin,1983.<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">H. H. Schaefer, Topological Vector Spaces, Springer-Verlag,Berlin, 1971.<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010124<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c3\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u62d3\u6251\u5411\u91cf\u7a7a\u95f4\uff08II\uff09<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u65b9\u540d\u79f0\uff1a Topological Vector Spaces\uff08II\uff09<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u4e18\u4eac\u8f89<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6cdb\u51fd\u5206\u6790\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u300a\u6cdb\u51fd\u5206\u6790\u300b\u3001\u300a\u62d3\u6251\u5411\u91cf\u7a7a\u95f4\uff08II\uff09\u300b<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u7684\u76ee\u7684\u8981\u6c42\uff1a\u4ecb\u7ecd\u7ebf\u6027\u62d3\u6251\u7a7a\u95f4\uff0c\u5c40\u90e8\u51f8\u7a7a\u95f4\u7b97\u5b50\u7406\u8bba\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u7b97\u5b50\u53ca\u5176\u8f6c\u7f6e\uff0cHellinger-Toplitz\u5b9a\u7406\uff0812\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">2\uff0eB-\u5b8c\u5907\u4e0eBr\uff0d\u5b8c\u5907\u7a7a\u95f4\uff0cPtake\u5b9a\u7406\uff0cDe Wilde\u7406\u8bba\uff0814\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">3\uff0e\u4efb\u610f\u7ebf\u6027\u6620\u7167\u7684\u7406\u8bba\uff0c\u56fe\u62d3\u6251\u4e0e\u5f00\u6620\u7167\uff0c\u7ebf\u6027\u65b9\u7a0b\u4e0e\u9006\u6620\u7167\uff0c\u7ebf\u6027\u6620\u7167\u7a7a\u95f4\u4e0e\u53cc\u7ebf\u6027\u6620\u7167\u7a7a\u95f4\uff0818\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">4\uff0e\u5f20\u91cf\u79ef\u7406\u8bba\uff0810\u5b66\u65f6\uff09\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750\uff1aG. K?THE, Topological Vector Spaces II, Sringer-Verlag, Berlin,1979.<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">A. Wilansky, Modern Methods in Topological Vector Spaces, Blaisdell, 1978.<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010125<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c3\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1aOrlicz\u7a7a\u95f4\u7406\u8bba<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u65b9\u540d\u79f0\uff1aTheory of Orlicz Spaces<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u4e25\u4e9a\u5f3a\uff0c\u738b\u91d1\u624d<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6cdb\u51fd\u5206\u6790\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u300a\u5b9e\u5206\u6790\u300b\u3001\u300a\u6cdb\u51fd\u5206\u6790\u300b<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u7684\u76ee\u7684\u8981\u6c42\uff1a\u4ecb\u7ecdOrlicz\u7a7a\u95f4\u57fa\u7840\u7406\u8bba\u3002\u8981\u6c42\u638c\u63e1Orlicz\u7a7a\u95f4\u4e2d\u7684N-\u51fd\u6570\u8bba\u3001\u8303\u6570\u7406\u8bba\u3001\u5d4c\u5165\u7406\u8bba\u7b49\u57fa\u7840\u7406\u8bba\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0eN-\u51fd\u6570\u8bba\uff0821\u5b66\u65f6\uff09\uff1b2\uff0e\u8303\u6570\u7406\u8bba\uff0815\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">3\uff0e\u5d4c\u5165\u7406\u8bba\uff089\u5b66\u65f6\uff09\uff1b4\uff0e\u4e58\u79ef\u7a7a\u95f4\u548c\u7ebf\u6027\u79ef\u5206\u7b97\u5b50\uff089\u5b66\u65f6\uff09\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750\uff1aM.M.Rao,Z.D.Ren\u300aTheory of Orlicz Spaces\u300b<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u514b\u62c9\u65af\u8bfa\u897f\u5c14\u65af\u57fa\uff0c\u9c81\u5b63\u8328\u57fa\u300a\u51f8\u51fd\u6570\u548c\u5965\u5c14\u91cc\u5947\u7a7a\u95f4\u300b<\/p>\n<p class=\"style1\">2\uff0e\u738b\u5ef7\u8f85\u300a\u5965\u5c14\u91cc\u5947\u7a7a\u95f4\u53ca\u5176\u5e94\u7528\u300b<\/p>\n<p class=\"style1\">3\uff0eL.Maligranda\uff0c\u300aOrlicz spaces and interpolation\u300b\u3002<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010126<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c3\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1aOrlicz\u7a7a\u95f4\u7684\u51e0\u4f55\u7406\u8bba<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u65b9\u540d\u79f0\uff1aGeometry of Orlicz Spaces<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u4e25\u4e9a\u5f3a\uff0c\u738b\u91d1\u624d<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u6cdb\u51fd\u5206\u6790\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u300a\u5b9e\u5206\u6790\u300b\u3001\u300a\u6cdb\u51fd\u5206\u6790\u300b<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u7684\u76ee\u7684\u8981\u6c42\uff1a<\/p>\n<p class=\"style1\">\u4ecb\u7ecdOrlicz\u7a7a\u95f4\u7684\u63d2\u503c\u7406\u8bba\u3001\u51f8\u6027\u4e0e\u5149\u6ed1\u6027\u3001\u51e0\u4f55\u5e38\u6570\u7b49\u7814\u7a76\u6240\u9700\u7684\u57fa\u672c\u65b9\u6cd5\u548c\u5bf9\u8c61\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u63d2\u503c\u5b9a\u7406\uff0812\u5b66\u65f6\uff09\uff1b2\uff0e\u51f8\u6027\u4e0e\u5149\u6ed1\u6027\uff0812\u5b66\u65f6\uff09\uff1b<\/p>\n<p class=\"style1\">3\uff0e\u5404\u79cd\u51e0\u4f55\u5e38\u6570\uff0830\u5b66\u65f6\uff09\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750\uff1aM.M.Rao,Z.D.Ren\u300aApplications of Orlicz Spaces\u300b<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u5434\u4ece\u6615\u3001\u738b\u5ef7\u8f85\u3001\u9648\u8ff0\u6d9b\u3001\u738b\u7389\u6587\u300aOrlicz\u7a7a\u95f4\u51e0\u4f55\u7406\u8bba\u300b<\/p>\n<p class=\"style1\">2\uff0e\u9648\u8ff0\u6d9b\u300aGeometry of Orlicz Spaces\u300b<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010127<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c2\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u5e38\u5fae\u7406\u8bba\u4e0e\u65b9\u6cd5 ( I )<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aTheory and methods in ordinary differential equations (\u2160)<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u94b1\u5b9a\u8fb9<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u5e38\u5fae\u5206\u65b9\u7a0b\u65b9\u5411\u53ca\u5176\u5b83\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u6570\u5b66\u5206\u6790\u3001\u9ad8\u7b49\u4ee3\u6570\u3001\u5e38\u5fae\u5206\u65b9\u7a0b<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a<\/p>\n<p class=\"style1\">\u5728\u672c\u79d1\u300a\u5e38\u5fae\u5206\u65b9\u7a0b\u300b\u8bfe\u7a0b\u7684\u57fa\u7840\u4e0a\uff0c\u8fdb\u4e00\u6b65\u638c\u63e1\u4ece\u52a8\u529b\u7cfb\u7edf\u7684\u5e94\u7528\u7814\u7a76\u89d2\u5ea6\u51fa\u53d1\u7684\u5e38\u5fae\u5206\u65b9\u7a0b\u7684\u57fa\u7840\u7406\u8bba\u4e0e\u65b9\u6cd5\uff0c\u4f7f\u5b66\u751f\u5bf9\u5e38\u5fae\u5206\u65b9\u7a0b\u6a21\u578b\u4ece\u5b9a\u6027\u4e0e\u7a33\u5b9a\u6027\u65b9\u9762\u5177\u6709\u521d\u6b65\u7684\u7814\u7a76\u80fd\u529b\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u5e38\u5fae\u5206\u65b9\u7a0b\u7684\u4e00\u822c\u6027\u8d28\uff1a\u89e3\u5bf9\u521d\u503c\u4e0e\u53c2\u6570\u7684\u8fde\u7eed\u6027\u4e0e\u53ef\u5fae\u6027\uff1b\u89e3\u7684\u5ef6\u62d3\uff1b\u7a33\u5b9a\u6027\uff1bPoincar\u00e8-Bendixson\u5b9a\u7406\uff1b\u73af\u9762\u4e0a\u7684\u52a8\u529b\u7cfb\u7edf\u3002<\/p>\n<p class=\"style1\">2\uff0e\u7ebf\u6027\u7cfb\u7edf\uff1a\u89e3\u7684\u7ed3\u6784\uff1b\u5e38\u7cfb\u6570\u7ebf\u6027\u7cfb\u7edf\uff1bFloquet\u7406\u8bba\uff1bHill\u65b9\u7a0b\uff1b\u7ebf\u6027\u8fb9\u503c\u95ee\u9898\uff1b Fredholm\u66f4\u66ff\u3002<\/p>\n<p class=\"style1\">3\uff0e\u53cc\u66f2\u7406\u8bba\uff1a\u7a33\u5b9a\u6d41\u5f62\u4e0e\u4e0d\u7a33\u5b9a\u6d41\u5f62\uff1b\u4e2d\u5fc3\u6d41\u5f62\uff1bHartman-Grobman\u5b9a\u7406\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u7b14\u8bd5<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">J. K. Hale, Ordinary Differential Equations, 1980, Krieger Pub. Co.<\/p>\n<p class=\"style1\">C. Chicone, Ordinary Differential Equations with Applications, 1999, Sringer.<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a\u5f20\u82b7\u82ac\u3001\u4e01\u540c\u4ec1\u7b49\uff0c\u5fae\u5206\u65b9\u7a0b\u5b9a\u6027\u7406\u8bba\uff0c\u79d1\u5b66\u51fa\u7248\u793e\uff0c1986\u3002<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010128<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c3\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u5e38\u5fae\u7406\u8bba\u4e0e\u65b9\u6cd5 ( II )<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aTheory and methods in Ordinary differential equations (\u2161)<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u94b1\u5b9a\u8fb9<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u5e38\u5fae\u5206\u65b9\u7a0b\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u5e38\u5fae\u7406\u8bba\u4e0e\u65b9\u6cd5\uff08I\uff09<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a<\/p>\n<p class=\"style1\">\u5728\u300a\u5e38\u5fae\u7406\u8bba\u4e0e\u65b9\u6cd5(\u4e00)\u300b\u8bfe\u7a0b\u7684\u57fa\u7840\u4e0a\uff0c\u56f4\u7ed5\u5e38\u5fae\u5206\u65b9\u7a0b\u7684\u5468\u671f\u89e3\u53ca\u5176\u6f14\u5316\u7684\u7814\u7a76\u4f5c\u8fdb\u4e00\u6b65\u7684\u7406\u8bba\u4e0e\u65b9\u6cd5\u4e0a\u7684\u5c55\u5f00\uff0c\u4f7f\u5b66\u751f\u638c\u63e1\u5468\u671f\u89e3\u53ca\u76f8\u5173\u7814\u7a76\u7684\u57fa\u672c\u65b9\u6cd5\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">1\uff0e\u62d3\u6251\u5ea6\u7406\u8bba\u53ca\u5176\u5728\u5468\u671f\u89e3\u7814\u7a76\u4e2d\u7684\u5e94\u7528\uff1aBrouwer\u5ea6\uff1bLeray-Schauder\u5ea6\uff1b\u4e0d\u52a8\u70b9\u5b9a\u7406\uff1b\u5e94\u7528\u4e3e\u4f8b\u3002<\/p>\n<p class=\"style1\">2\uff0e\u8fdb\u4e00\u6b65\u7684\u4e0d\u52a8\u70b9\u5b9a\u7406\uff1aPoincar\u00e8-Birkhoff \u626d\u8f6c\u5b9a\u7406\uff1bMassera\u5b9a\u7406\u53ca\u5176\u63a8\u5e7f\uff1b\u5e94\u7528\u4e3e\u4f8b\u3002<\/p>\n<p class=\"style1\">3\uff0e\u5468\u671f\u89e3\u7684\u5ef6\u62d3\uff1a\u4e00\u822c\u6846\u67b6\uff1b\u81ea\u6cbb\u7cfb\u7edf\uff1b\u975e\u81ea\u6cbb\u7cfb\u7edf\uff1b\u5f3a\u8feb\u6270\u52a8\u3002<\/p>\n<p class=\"style1\">4\uff0e\u540c\u5bbf\u8f68\u3001Melnikov\u65b9\u6cd5\u4e0e\u6df7\u6c8c\u3002<\/p>\n<p class=\"style1\">5\uff0e\u5e73\u5747\u65b9\u6cd5\u3002<\/p>\n<p class=\"style1\">6\uff0e\u82e5\u5e72\u6a21\u578b\uff1a\u8026\u5408\u6446\uff1b\u632f\u5b50\u94fe\uff1b\u6d41\u4f53\u4e2d\u7684ABC\u6d41\u3002<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u7b14\u8bd5<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a<\/p>\n<p class=\"style1\">C. Chicone, Ordinary Differential Equations with Applications, 1999, Sringer.<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">J. K. Hale, Ordinary Differential Equations, 1980, Krieger Pub. Co.<\/p>\n<p class=\"style1\">\u4e01\u540c\u4ec1\uff0c\u5e38\u5fae\u5206\u65b9\u7a0b\u2014\u52a8\u529b\u7cfb\u7edf\uff0c2003\uff0c\u9ad8\u7b49\u6559\u80b2\u51fa\u7248\u793e\u3002<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a <span class=\"style2\"><span style=\"color: #ff0000;\">07010129<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e8c\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u7b97\u5b50\u4ee3\u6570<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a Operator Algebras<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a 54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u9646\u82b3\u8a00<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u7b97\u5b50\u7406\u8bba\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u5b9e\u53d8\u51fd\u6570\u3001\u6cdb\u51fd\u5206\u6790\u521d\u6b65<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u7cfb\u7edf\u4ecb\u7ecd\u7b97\u5b50\u4ee3\u6570\u7684\u57fa\u672c\u7406\u8bba\u3002\u8981\u6c42\u5b66\u751f\u638c\u63e1Von Neumann \u4ee3\u6570\u7684\u57fa\u672c\u6982\u5ff5\u3001\u62d3\u6251\u65b9\u9762\u7684\u5206\u6790\u3001\u5206\u7c7b\u7406\u8bba\u3001\u56e0\u5b50\u7406\u8bba\uff1b\u638c\u63e1C*\u4ee3\u6570\u7684\u57fa\u672c\u6982\u5ff5\u3001GNS\u6784\u9020\u3001*\u8868\u793a\u7406\u8bba\u7b49\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">Von Neumann \u4ee3\u6570\u7684\u57fa\u784010<\/p>\n<p class=\"style1\">Von Neumann \u4ee3\u6570\u7684\u5206\u7c7b10<\/p>\n<p class=\"style1\">Von Neumann \u4ee3\u6570\u7684\u56e0\u5b50\u7406\u8bba 10<\/p>\n<p class=\"style1\">C*\u4ee3\u6570\u7684\u57fa\u784024<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a\u674e\u70b3\u4ec1\uff0c\u300a\u7b97\u5b50\u4ee3\u6570\u300b\uff0c\u79d1\u5b66\u51fa\u7248\u793e\uff0c\u5317\u4eac\uff0c1986<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">1.Richard V. Kadison and John R. Ringrose, Fundamentals of the Theory of Operator Algebras<\/p>\n<p class=\"style1\">2.Paul R. Halmos,A Hilbert Space Problem Book<\/p>\n<p class=\"style1\">3.John B. Conway, A Course in Functional Analysis<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\"> 07010130<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e09\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a Banach\u4ee3\u6570<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a Banach Algebras<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a 54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u9646\u82b3\u8a00<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u7b97\u5b50\u7406\u8bba\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u5b9e\u53d8\u51fd\u6570\u3001\u6cdb\u51fd\u5206\u6790\u521d\u6b65<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u7cfb\u7edf\u4ecb\u7ecdBanach\u4ee3\u6570\u7684\u57fa\u672c\u7406\u8bba\u548c\u5176\u5b83\u4e00\u4e9b\u9886\u57df\u7684\u8054\u7cfb\u3002\u8981\u6c42\u5b66\u751f\u638c\u63e1Banach \u4ee3\u6570\u7684\u57fa\u672c\u6982\u5ff5\u3001\u4ea4\u6362Banach\u4ee3\u6570\u3001\u4ea4\u6362Banach\u4ee3\u6570\u4e0e\u591a\u590d\u53d8\u51fd\u6570\u7406\u8bba\u7b49\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">Banach\u4ee3\u6570\u7684\u4e00\u822c\u6982\u5ff520<\/p>\n<p class=\"style1\">\u4ea4\u6362\u7684Banach\u4ee3\u657018<\/p>\n<p class=\"style1\">\u4ea4\u6362Banach\u4ee3\u6570\u4e0e\u591a\u590d\u53d8\u51fd\u6570\u7406\u8bba\u7b4916<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a\u674e\u70b3\u4ec1\uff0c\u300aBanach\u4ee3\u6570\u300b\uff0c\u79d1\u5b66\u51fa\u7248\u793e\uff0c\u5317\u4eac\uff0c1986<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style1\">1.Richard V. Kadison and John R. Ringrose, Fundamentals of the Theory of Operator Algebras<\/p>\n<p class=\"style1\">2.Paul R. Halmos,A Hilbert Space Problem Book<\/p>\n<p class=\"style1\">3.John B. Conway, A Course in Functional Analysis<\/p>\n<hr \/>\n<p class=\"style1\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style2\"><span style=\"color: #ff0000;\">07010131<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e09\u5b66\u671f<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u975e\u81ea\u4f34\u7b97\u5b50\u4ee3\u6570<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a Non-selfadjoint Operator Algebras<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a 54<\/p>\n<p class=\"style1\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u9646\u82b3\u8a00<\/p>\n<p class=\"style1\">\u9762\u5411\u5bf9\u8c61\uff1a\u7b97\u5b50\u7406\u8bba\u65b9\u5411\u7855\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style1\">\u9884\u5907\u77e5\u8bc6\uff1a\u6cdb\u51fd\u5206\u6790\u521d\u6b65\u3001\u7b97\u5b50\u4ee3\u6570<\/p>\n<p class=\"style1\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u7cfb\u7edf\u4ecb\u7ecd\u975e\u81ea\u4f34\u7b97\u5b50\u4ee3\u6570\u7684\u57fa\u672c\u7406\u8bba\u3002\u8981\u6c42\u5b66\u751f\u638c\u63e1\u51e0\u7c7b\u91cd\u8981\u7684\u975e\u81ea\u4f34\u7b97\u5b50\u4ee3\u6570&#8212;-\u5957\u4ee3\u6570\u3001 CSL\u4ee3\u6570\u3001 JSL\u4ee3\u6570\u3001\u6807\u51c6\u4ee3\u6570\u3002<\/p>\n<p class=\"style1\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style1\">\u5957\u4ee3\u657018<\/p>\n<p class=\"style1\">CSL\u4ee3\u657015<\/p>\n<p class=\"style1\">JSL\u4ee3\u657012<\/p>\n<p class=\"style1\">\u6807\u51c6\u4ee3\u65709<\/p>\n<p class=\"style1\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u95ed\u5377<\/p>\n<p class=\"style1\">\u6559\u6750\uff1a\u81ea\u7f16\u8bb2\u4e49<\/p>\n<p class=\"style1\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<ul class=\"style1\">\n<li>Kenneth R. Davidson,Nest Algebras<\/li>\n<li>William Arveson,Ten Lectures on Operator Algebras<\/li>\n<\/ul>\n<\/div>\n<div class=\"newsBody\">\n<h3>\u82cf\u5dde\u5927\u5b66\u57fa\u7840\u6570\u5b66\u535a\u58eb\u7814\u7a76\u751f\u8bfe\u7a0b\u6559\u5b66\u5927\u7eb2<\/h3>\n<hr \/>\n<p class=\"style2\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style3\"><span style=\"color: #ff0000;\">B070101007\u3000<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e00\u5b66\u671f<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u9ece\u66fc\u51e0\u4f55<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aRiemannian Geometry<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u5b66\u5206\uff1a4\u603b\u5b66\u65f6\uff1a72<\/p>\n<p class=\"style2\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u865e\u8a00\u6797<\/p>\n<p class=\"style2\">\u9762\u5411\u5bf9\u8c61\uff1a\u51e0\u4f55\u65b9\u5411\u535a\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style2\">\u9884\u5907\u77e5\u8bc6\uff1a<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u638c\u63e1\u9ece\u66fc\u51e0\u4f55\u4e2d\u8bf8\u8981\u7d20\u3001\u6982\u5ff5\u53ca\u7b97\u6cd5<\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style2\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u9762\u8bd5<\/p>\n<p class=\"style2\">\u6559\u6750\uff1a<\/p>\n<p class=\"style2\">\u4f0d\u9e3f\u7199\u7b49\uff0c\u9ece\u66fc\u51e0\u4f55\u521d\u6b65\uff0c\u5317\u4eac\u5927\u5b66\u51fa\u7248\u793e\u3002<\/p>\n<p class=\"style2\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style2\">\u9648\u7701\u8eab\u3001\u9648\u7ef4\u6853\uff0c\u5fae\u5206\u51e0\u4f55\u8bb2\u4e49\uff0c\u5317\u4eac\u5927\u5b66\u51fa\u7248\u793e\u3002<\/p>\n<hr \/>\n<p class=\"style2\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style3\"><span style=\"color: #ff0000;\">B070101009\u3000<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e8c\u5b66\u671f\u3001\u7b2c\u4e09\u5b66\u671f<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u6307\u6807\u5b9a\u7406(\u4e00)\u3001(\u4e8c)<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aIndex Theorem<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u5b66\u5206\uff1a4\u603b\u5b66\u65f6\uff1a144<\/p>\n<p class=\"style2\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u865e\u8a00\u6797<\/p>\n<p class=\"style2\">\u9762\u5411\u5bf9\u8c61\uff1a\u51e0\u4f55\u65b9\u5411\u535a\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style2\">\u9884\u5907\u77e5\u8bc6\uff1a\u5fae\u5206\u6d41\u5f62\uff0c?3\u4e2d\u66f2\u7ebf\u4e0e\u66f2\u9762<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u638c\u63e1Dirac\u7b97\u5b50\u7684\u6307\u6807\u5b9a\u7406<\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style2\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u9762\u8bd5<\/p>\n<p class=\"style2\">\u6559\u6750\uff1a\u8bb2\u4e49<\/p>\n<p class=\"style2\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style2\">Yu Yanlin, Index theorem and Heat equation method, \u4e16\u754c\u79d1\u5b66\u51fa\u7248\u793e\u3002<\/p>\n<hr \/>\n<p class=\"style2\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style3\"><span style=\"color: #ff0000;\">B070101010\u3000<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e00\u5b66\u671f<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u8fde\u7eed\u7edf\u7406\u8bba\u53ca\u5e94\u7528<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u5b66\u4f4d\u57fa\u7840\u8bfe\u5b66\u5206\uff1a3\u603b\u5b66\u65f6\uff1a54<\/p>\n<p class=\"style2\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u5468\u53cb\u6210<\/p>\n<p class=\"style2\">\u9762\u5411\u5bf9\u8c61\uff1a<\/p>\n<p class=\"style2\">\u9884\u5907\u77e5\u8bc6\uff1a\u62d3\u6251\u5b66\u3001\u4ee3\u6570\u5b66\u57fa\u7840<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u638c\u63e1\u8fde\u7eed\u7edf\u7684\u57fa\u672c\u7406\u8bba\u53ca\u5176\u5e94\u7528<\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style2\">\u53ef\u5206\u89e3\u4e0e\u4e0d\u53ef\u5206\u89e3\u8fde\u7eed\u7edf\uff0c\u9006\u6781\u9650\u65b9\u6cd5\uff0c\u4e0a\u534a\u8fde\u7eed\u5206\u89e3\uff0c\u6811\u72b6\u4e0e\u5f27\u72b6\u8fde\u7eed\u7edf\uff08\u6bcf\u90e8\u5206\u7ea613\uff0d14\u5b66\u65f6\uff09\u3002<\/p>\n<p class=\"style2\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u5f00\u5377\u7b14\u8bd5<\/p>\n<p class=\"style2\">\u6559\u6750\uff1a<\/p>\n<p class=\"style2\">S. B. Nadler ,&#8221;Continuum Theory&#8221;<\/p>\n<p class=\"style2\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p class=\"style2\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style3\"><span style=\"color: #ff0000;\">B070101011\u3000<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e8c\u5b66\u671f<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u52a8\u529b\u7cfb\u7edf\u4e2d\u4e0d\u53d8\u5b50\u96c6\u7684\u62d3\u6251<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u5b66\u4f4d\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a2\u603b\u5b66\u65f6\uff1a36<\/p>\n<p class=\"style2\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u5468\u53cb\u6210<\/p>\n<p class=\"style2\">\u9762\u5411\u5bf9\u8c61\uff1a<\/p>\n<p class=\"style2\">\u9884\u5907\u77e5\u8bc6\uff1a\u8fde\u7eed\u7edf\u3001\u62d3\u6251\u52a8\u529b\u7cfb\u7edf\u57fa\u7840<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u638c\u63e1\u8f68\u9053\u53ca\u4e0d\u53d8\u5b50\u96c6\u62d3\u6251\u6027\u8d28\u7684\u7814\u7a76\u65b9\u6cd5<\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style2\">\u52a8\u529b\u7cfb\u7edf\u4e0e\u8fde\u7eed\u7edf\u7684\u76f8\u5173\u6982\u5ff5\uff0c\u4f5c\u4e3a\u4e0d\u53d8\u5b50\u96c6\u7684\u8fde\u7eed\u7edf\u7684\u4f8b\u5b50\uff0c\u8f68\u9053\u7ed3\u6784\uff0c\u706b\u67f4\u76d2\u6d41\u5f62\u3002\uff08\u6bcf\u90e8\u5206\u7ea69\u5b66\u65f6\uff09<\/p>\n<p class=\"style2\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u5f00\u5377\u7b14\u8bd5<\/p>\n<p class=\"style2\">\u6559\u6750\uff1a<\/p>\n<p class=\"style2\">R. Fekkink, &#8220;The strueture of trajecteries&#8221;<\/p>\n<p class=\"style2\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<hr \/>\n<p class=\"style2\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style3\"><span style=\"color: #ff0000;\">B070101012\u3000<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e8c\u5b66\u671f<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u9f50\u6027\u4e0e\u540c\u80da\u7fa4<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u5b66\u4f4d\u4e13\u4e1a\u8bfe\u5b66\u5206\uff1a2\u603b\u5b66\u65f6\uff1a36<\/p>\n<p class=\"style2\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u5468\u53cb\u6210<\/p>\n<p class=\"style2\">\u9762\u5411\u5bf9\u8c61\uff1a<\/p>\n<p class=\"style2\">\u9884\u5907\u77e5\u8bc6\uff1a\u8fde\u7eed\u7edf\u7406\u8bba\u3001\u62d3\u6251\u7fa4\u57fa\u7840<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u638c\u63e1\u540c\u80da\u7fa4\u4f5c\u7528\u4e0b\u62d3\u6251\u9f50\u6027\u7684\u7814\u7a76\u65b9\u6cd5<\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style2\">\u62d3\u6251\u9f50\u6027\u7684\u57fa\u672c\u7ed3\u679c\uff0c\u5c0f\u540c\u80da\u4f5c\u7528\uff0cEffros\u65b9\u6cd5\uff08\u6bcf\u90e8\u5206\u7ea612\u5b66\u65f6\uff09\u3002<\/p>\n<p class=\"style2\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u5f00\u5377\u7b14\u8bd5<\/p>\n<p class=\"style2\">\u6559\u6750\uff1a<\/p>\n<p class=\"style2\">D Montgcemezy , L Zippin &#8220;Topologcical Transformatian Group&#8221;\u53ca\u82e5\u5e72\u6587\u732e<\/p>\n<p class=\"style2\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p class=\"style2\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style3\"><span style=\"color: #ff0000;\">B070101013\u3000<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e09\u5b66\u671f<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u7fa4\u4f5c\u7528\u4e0b\u7684\u52a8\u529b\u7cfb\u7edf\u95ee\u9898<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1a<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u9009\u4fee\u8bfe\u5b66\u5206\uff1a2\u603b\u5b66\u65f6\uff1a36<\/p>\n<p class=\"style2\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u5468\u53cb\u6210<\/p>\n<p class=\"style2\">\u9762\u5411\u5bf9\u8c61\uff1a<\/p>\n<p class=\"style2\">\u9884\u5907\u77e5\u8bc6\uff1a\u52a8\u529b\u7cfb\u7edf\u53ca\u53d8\u6362\u7fa4\u57fa\u7840\u77e5\u8bc6<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a<\/p>\n<p class=\"style2\">\u521d\u6b65\u4e86\u89e3\u7fa4\u4f5c\u7528\u7684\u65b9\u6cd5\uff0c\u7fa4\u4f5c\u7528\u7684\u52a8\u529b\u7cfb\u7edf\u53ca\u62d3\u6251\u95ee\u9898<\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style2\">\u7fa4\u4f5c\u7528\uff0c\u7fa4(\u534a\u7fa4)\u7684\u6df7\u6c8c\u4f5c\u7528,\u81ea\u540c\u6784\u5728\u7d27\u7fa4\u4e0a\u7684\u4f5c\u7528,\u7d27\u4ea4\u6362\u7fa4\u7684Z\u03b1\u4f5c\u7528<\/p>\n<p class=\"style2\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u5f00\u5377\u7b14\u8bd5<\/p>\n<p class=\"style2\">\u6559\u6750\uff1a<\/p>\n<p class=\"style2\">K. Schmidf,&#8221;Dynamical Systems of Algebraic Origin&#8221;<\/p>\n<p class=\"style2\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style2\"><strong>\u00a0<\/strong><\/p>\n<hr \/>\n<p class=\"style2\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style3\"><span style=\"color: #ff0000;\">B070101006\u3000<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e00\u5b66\u671f<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0<strong>\uff1a<\/strong>\u6709\u9650\u7fa4\u8bba<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0<strong>\uff1a<\/strong> Finite Group Theory<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u6027\u8d28<strong>\uff1a<\/strong>\u5b66\u4f4d\u57fa\u7840\u8bfe\u5b66\u5206<strong>\uff1a<\/strong>4\u603b\u5b66\u65f6\uff1a72<\/p>\n<p class=\"style2\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u65bd\u6b66\u6770<\/p>\n<p class=\"style2\">\u9762\u5411\u5bf9\u8c61<strong>\uff1a<\/strong>\u57fa\u7840\u6570\u5b66\u4e13\u4e1a\u7fa4\u8bba\u65b9\u5411\u53ca\u5176\u5b83\u7814\u7a76\u65b9\u5411\u7684\u535a\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style2\">\u9884\u5907\u77e5\u8bc6<strong>\uff1a<\/strong>\u7fa4\u8bba\u57fa\u7840\uff0c\u62bd\u8c61\u4ee3\u6570\uff0c\u521d\u7b49\u6570\u8bba<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42<strong>\uff1a<\/strong>\u672c\u8bfe\u7a0b\u4e3b\u8981\u8bb2\u6388\u6709\u9650\u7fa4\u8bba\u4e2d\u7684\u4e00\u4e9b\u91cd\u8981\u8bfe\u9898\u4e0e\u65b9\u6cd5\uff0c<\/p>\n<p class=\"style2\">\u4e3a\u5b66\u751f\u4ece\u4e8b\u7fa4\u8bba\u65b9\u9762\u7684\u8fdb\u4e00\u6b65\u5b66\u4e60\u548c\u7814\u7a76\u6253\u4e0b\u57fa\u7840\u3002<\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392<strong>\uff1a<\/strong><\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e3a\uff1a<\/p>\n<p class=\"style2\">1. \u6362\u4f4d\u5b50\u7fa4\uff1b<\/p>\n<p class=\"style2\">2. \u5e42\u96f6\u7fa4\uff1b<\/p>\n<p class=\"style2\">3. \u53ef\u89e3\u7fa4\uff1b<\/p>\n<p class=\"style2\">4. \u5c40\u90e8\u6709\u9650\u7fa4\u7406\u8bba\u3002<\/p>\n<p class=\"style2\">\u8003\u8bd5\u5f62\u5f0f<strong>\uff1a<\/strong>\u5f00\u5377\u7b14\u8bd5<\/p>\n<p class=\"style2\">\u6559\u6750<strong>\uff1a<\/strong>M. Suzuki, Group Theory II, Springer-Verlag New York Inc., 1986.<\/p>\n<p class=\"style2\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style2\">B. Huppert and N. Blackburn, Finite Groups II, III, Springer-VerlagBerlinHeidelbergNew York, 1982.<\/p>\n<p class=\"style2\">M. Aschbacher, Finite Group Theory, CambridgeUniversity Press, 1986.<\/p>\n<p class=\"style2\">H. Kurzweil and B. Stellmacher, Theorie der endlichen Gruppen, Springer-Verlag Berlin Heidelberg, 1998.<\/p>\n<p class=\"style2\"><strong>\u00a0<\/strong><\/p>\n<hr \/>\n<p class=\"style2\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style3\"><span style=\"color: #ff0000;\">B070101003\u3000<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f<strong>\uff1a<\/strong>\u7b2c\u4e8c\u5b66\u671f<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0<strong>\uff1a<\/strong>\u674e\u578b\u5355\u7fa4<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0<strong>\uff1a<\/strong>Simple Groups of Lie Type<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u6027\u8d28<strong>\uff1a<\/strong>\u5b66\u4f4d\u4e13\u4e1a\u8bfe\u5b66\u5206<strong>\uff1a<\/strong>4\u603b\u5b66\u65f6<strong>\uff1a<\/strong>72<\/p>\n<p class=\"style2\">\u5f00\u8bfe\u5355\u4f4d<strong>\uff1a<\/strong>\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08<strong>\uff1a<\/strong>\u65bd\u6b66\u6770<\/p>\n<p class=\"style2\">\u9762\u5411\u5bf9\u8c61<strong>\uff1a<\/strong>\u57fa\u7840\u6570\u5b66\u4e13\u4e1a\u7fa4\u8bba\u65b9\u5411\u53ca\u5176\u5b83\u7814\u7a76\u65b9\u5411\u7684\u535a\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style2\">\u9884\u5907\u77e5\u8bc6<strong>\uff1a<\/strong>\u62bd\u8c61\u4ee3\u6570\uff0c\u7fa4\u8bba\uff0c\u674e\u4ee3\u6570<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42<strong>\uff1a<\/strong>\u672c\u8bfe\u7a0b\u4e3b\u8981\u8bb2\u6388Chevalley\u7fa4\u53ca\u5176\u6320\u7fa4\u7684\u7ed3\u6784\u7406\u8bba\u4e0e\u65b9\u6cd5\uff0c\u4e3a\u5b66\u751f\u4ece\u4e8b\u5355\u7fa4\u7406\u8bba\u65b9\u9762\u7684\u8fdb\u4e00\u6b65\u5b66\u4e60\u548c\u7814\u7a76\u6253\u4e0b\u57fa\u7840\u3002<\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e3a\uff1a<\/p>\n<p class=\"style2\">1. Weyl\u7fa4\uff1b<\/p>\n<p class=\"style2\">2. Chevalley\u7fa4\uff1b<\/p>\n<p class=\"style2\">3. Bruhat\u5206\u89e3\uff1b<\/p>\n<p class=\"style2\">4. \u6320\u5355\u7fa4\u3002<\/p>\n<p class=\"style2\">\u8003\u8bd5\u5f62\u5f0f<strong>\uff1a<\/strong>\u5f00\u5377\u7b14\u8bd5<\/p>\n<p class=\"style2\">\u6559\u6750<strong>\uff1a<\/strong><\/p>\n<p class=\"style2\">R. W. Carter, Simple Groups of Lie Type, John Wiley &amp; Sons London, 1972.<\/p>\n<p class=\"style2\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style2\">R. W. Carter, Simple Groups of Lie Type: Conjugacy Classes and Complex Characters, John Wiley &amp; Sons London, 1985.<\/p>\n<p class=\"style2\">D. Gorenstein, R. Lyons and R. Solomon, The Classification of the Finite Simple Groups, Amer. Math. Soc., USA., 1994.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p class=\"style2\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style3\"><span style=\"color: #ff0000;\">B070101014\u3000<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e00\u5b66\u671f<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u89e3\u6790\u6570\u8bba\u4e2d\u7684\u4e00\u4e9b\u8bfe\u9898<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aTopics in analytic number theory<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u5b66\u4f4d\u57fa\u7840\u8bfe\u5b66\u5206\uff1a4\u603b\u5b66\u65f6\uff1a80<\/p>\n<p class=\"style2\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u4f59\u7ea2\u5175<\/p>\n<p class=\"style2\">\u9762\u5411\u5bf9\u8c61\uff1a\u57fa\u7840\u6570\u5b66\u4e13\u4e1a\u6570\u8bba\u65b9\u5411\u53ca\u5176\u5b83\u4e13\u4e1a\u65b9\u5411\u7684\u535a\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style2\">\u9884\u5907\u77e5\u8bc6\uff1a\u89e3\u6790\u6570\u8bba\u57fa\u7840\uff0c\u590d\u5206\u6790\uff0c\u62bd\u8c61\u4ee3\u6570<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u672c\u8bfe\u7a0b\u4e3b\u8981\u8bb2\u6388\u89e3\u6790\u6570\u8bba\u4e2d\u4e00\u4e9b\u91cd\u8981\u7684\u8bfe\u9898\u4e0e\u65b9\u6cd5\uff0c\u4e3a\u5b66\u751f\u4ece\u4e8b\u6570\u8bba\u65b9\u9762\u8fdb\u4e00\u6b65\u7684\u5b66\u4e60\u4e0e\u7814\u7a76\u6253\u4e0b\u57fa\u7840\u3002<\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e3a\uff1a<\/p>\n<p class=\"style2\">1\uff0e\u6307\u6570\u548c\u65b9\u6cd5\u53ca\u6709\u5173\u7684\u8bfe\u9898\uff1b<\/p>\n<p class=\"style2\">2\uff0e\u7b5b\u6cd5\u53ca\u5176\u4e00\u4e9b\u5e94\u7528\uff1b<\/p>\n<p class=\"style2\">3\uff0e\u5706\u6cd5\u53ca\u5176\u4e00\u4e9b\u5e94\u7528\uff1b<\/p>\n<p class=\"style2\">4\uff0eRiemann Zeta\u51fd\u6570\u4e0eDirichlet L\u51fd\u6570\u7684\u96f6\u70b9\u3002<\/p>\n<p class=\"style2\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u5f00\u5377\u7b14\u8bd5<\/p>\n<p class=\"style2\">\u6559\u6750\uff1a<\/p>\n<p class=\"style2\">\u6f58\u627f\u6d1e\u3001\u6f58\u627f\u5f6a\uff0c\u300a\u89e3\u6790\u6570\u8bba\u57fa\u7840\u300b\uff0c\u79d1\u5b66\u51fa\u7248\u793e\uff0c1991\u5e74\u3002<\/p>\n<p class=\"style2\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style2\">H. L. Montgomerg, Ten lectures on the interface between analytic number theory and harmonic analytic.<\/p>\n<p class=\"style2\">R. C. Vaughan, The Hardy- Littlewood method, Cambridge University Press, 1997.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p class=\"style2\">\u8bfe\u7a0b\u7f16\u53f7\uff1a<span class=\"style3\"><span style=\"color: #ff0000;\">B070101015\u3000<\/span><\/span>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u5f00\u8bfe\u5b66\u671f\uff1a\u7b2c\u4e8c\u5b66\u671f<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u4e2d\u6587\u540d\u79f0\uff1a\u6a21\u5f62\u5f0f\u53ca\u5176\u4e00\u4e9b\u5e94\u7528<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u82f1\u6587\u540d\u79f0\uff1aModular forms with some applications<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u6027\u8d28\uff1a\u4e13\u4e1a\u57fa\u7840\u8bfe\u5b66\u5206\uff1a4\u603b\u5b66\u65f6\uff1a80<\/p>\n<p class=\"style2\">\u5f00\u8bfe\u5355\u4f4d\uff1a\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6388\u8bfe\u6559\u5e08\uff1a\u4f59\u7ea2\u5175<\/p>\n<p class=\"style2\">\u9762\u5411\u5bf9\u8c61\uff1a\u57fa\u7840\u6570\u5b66\u4e13\u4e1a\u6570\u8bba\u65b9\u5411\u53ca\u5176\u5b83\u4e13\u4e1a\u65b9\u5411\u7684\u535a\u58eb\u7814\u7a76\u751f<\/p>\n<p class=\"style2\">\u9884\u5907\u77e5\u8bc6\uff1a\u590d\u5206\u6790\uff0c\u62bd\u8c61\u4ee3\u6570\uff0c\u6570\u8bba\u57fa\u7840<\/p>\n<p class=\"style2\">\u8bfe\u7a0b\u5b66\u4e60\u76ee\u7684\u4e0e\u8981\u6c42\uff1a\u672c\u8bfe\u7a0b\u4e3b\u8981\u8bb2\u6388\u7ecf\u5178\u6a21\u5f62\u5f0f\u7684\u57fa\u672c\u5185\u5bb9\uff0c\u4ee5\u53ca\u5b83\u4eec\u5728\u6570\u8bba\u4e2d\u7684\u4e00\u4e9b\u5e94\u7528\uff0c\u4e3a\u5b66\u751f\u8fdb\u4e00\u6b65\u4ece\u4e8b\u6570\u8bba\u53ca\u5176\u5b83\u65b9\u9762\u7684\u5b66\u4e60\u4e0e\u7814\u7a76\u6253\u4e0b\u57fa\u7840\u3002<\/p>\n<p class=\"style2\">\u4e3b\u8981\u5185\u5bb9\u4e0e\u5b66\u65f6\u5b89\u6392\uff1a<\/p>\n<p class=\"style2\">\u672c\u8bfe\u7a0b\u7684\u4e3b\u8981\u5185\u5bb9\u4e3a\uff1a<\/p>\n<p class=\"style2\">1\uff0e\u7ecf\u5178\u7684\u6a21\u5f62\u5f0f\uff1b2\uff0eEisenstein\u53caPoincare\u7ea7\u6570\uff1b3\uff0eKloosterman\u548c\uff1b<\/p>\n<p class=\"style2\">4\uff0e\u5c16\u70b9\u5f62\u5f0f\u7684Fourier\u7cfb\u6570\u7684\u4f30\u8ba1\uff1b<\/p>\n<p class=\"style2\">5\uff0eHecke\u7b97\u5b50\uff1b6\uff0eTheta \u51fd\u6570\uff1b7\uff0e\u8868\u6574\u6570\u4e3a\u5e73\u65b9\u548c\u3002<\/p>\n<p class=\"style2\">\u8003\u8bd5\u5f62\u5f0f\uff1a\u5f00\u5377\u7b14\u8bd5<\/p>\n<p class=\"style2\">\u6559\u6750\uff1a<\/p>\n<p class=\"style2\">H. Iwaniec, Topics in classical automorphic forms.<\/p>\n<p class=\"style2\">\u4e3b\u8981\u53c2\u8003\u6587\u732e\uff1a<\/p>\n<p class=\"style2\">\u6f58\u627f\u6d1e\u3001\u6f58\u627f\u5f6a\uff0c\u300a\u6a21\u5f62\u5f0f\u5bfc\u5f15\u300b\uff0c\u5317\u4eac\u5927\u5b66\u51fa\u7248\u793e\uff0c2002\u5e74\u3002<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u4e4b\u6240\u4ee5\u8f6c\u8f7d\u81f3\u6b64, \u662f\u5e0c\u671b\u770b\u5230\u5dee\u8ddd. \u539f\u6587\u94fe\u63a5\u5728\u8fd9\u91cc. \u82cf\u5dde\u5927\u5b66\u7814\u7a76\u751f\u8bfe\u7a0b\u6559\u5b66\u5927\u7eb2 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/lttt.vanabel.cn\/?p=2963\"> <span class=\"screen-reader-text\">\u82cf\u5dde\u5927\u5b66\u57fa\u7840\u6570\u5b66\u7855\u58eb\/\u535a\u58eb\u7814\u7a76\u751f\u8bfe\u7a0b\u6559\u5b66\u5927\u7eb2<\/span> \u9605\u8bfb\u66f4\u591a &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[46,806,285,459,416],"class_list":["post-2963","post","type-post","status-publish","format-standard","hentry","category-net","tag-46","tag-806","tag-285","tag-459","tag-416"],"_links":{"self":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/2963","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2963"}],"version-history":[{"count":0,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/2963\/revisions"}],"wp:attachment":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2963"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2963"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2963"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}