{"id":14653,"date":"2022-12-01T12:45:35","date_gmt":"2022-12-01T04:45:35","guid":{"rendered":"https:\/\/virtual.math.ntnu.edu.tw\/?p=14653"},"modified":"2022-12-02T16:52:38","modified_gmt":"2022-12-02T08:52:38","slug":"mathbook_department_4","status":"publish","type":"post","link":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/2022\/12\/01\/mathbook_department_4\/","title":{"rendered":"\u6578\u5b78\u7cfb\u520a\u7b2c\u56db\u671f(\u6c11\u570b59\u5e74)"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"14653\" class=\"elementor elementor-14653\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2e472741 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2e472741\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-35be159b\" data-id=\"35be159b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-68758e79 elementor-widget elementor-widget-text-editor\" data-id=\"68758e79\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><img style=\"width: 150px; height: 201px; margin-right: 10px; margin-left: 10px; float: left;\" src=\"https:\/\/virtual.math.ntnu.edu.tw\/wp-content\/uploads\/2022\/12\/mathbookdep_cover4.jpg\" alt=\"\" \/>\u4e0d\u9023\u7e8c\u96c6<\/p><p style=\"text-align: right;\">\u5eb7\u6d2a\u5143<\/p><p>1.\u6a19\u984c\u6709&#8221;\u6feb\u7528\u540d\u8a5e&#8221; \u4e4b\u5f0a\uff0c\u4e0d\u5f97\u5df2\u800c\u7528\u4e4b\uff0c\u4e0d\u8db3\u53d6\u6548\u3002<br \/>2.\u6578\u5b78\u7cfb\u520a\uff0c\u7232\u540c\u5b78\u7684\u5712\u5730\uff0c\u6211\u4e3b\u5f35\u5168\u7531\u540c\u5b78\u81ea\u5df1\u4f86\u8015\u8018\uff0c\u4e0d\u52de\u8001\u5e2b\u8d8a\u5f82\u4ee3\u5e96\u3002<br \/>3.\u8981\u4e86\u89e3\u6578\u5b78\u6559\u80b2\u662f\u4ec0\u9ebc\u4e00\u56de\u4e8b\uff0c\u5fc5\u8981\u689d\u4ef6\u662f\u95b1\u8b80\u4e00\u9ede\u6709\u95dcPrinciples of mathematics.\u7684\u8a00\u8ad6\uff0c\u5426\u5247\uff0c\u4e00\u6d89\u53ca\u554f\u984c\uff0c\u5c31\u5206\u8b58\u8005\u6709\u9694\u9774\u6414\u7662\uff0c\u557c\u7b11\u7686\u975e\u4e4b\u611f\u3002<br \/>4.\u65e2\u7136\u9032\u4e86\u5e2b\u5927\u6578\u5b78\u7cfb\uff0c\u5c0d\u6578\u5b78\u6559\u80b2\u4e00\u4e9bCommon notion\uff0c\u6709\u4e86\u89e3\u7684\u5fc5\u8981\uff0c\u5426\u5247\u4f5c&#8221;\u7d93\u5e2b &#8221; \u5c1a\u5acc\u4e0d\u8db3\uff0c\u9051\u8ad6\u70ba&#8221;\u4eba\u5e2b&#8221;\u3002<br \/>5.\u6559\u6578\u5b78\u7684\u76ee\u7684\uff0c\u7d55\u4e0d\u662f\u628a\u5b78\u751f\u8b8a\u7232\u4e00\u672c\u6578\u5b78\u8fad\u5178\uff0c\u800c\u662f\u6559\u5b78\u751f\u6703\u601d\u60f3\uff0c\u6709\u5224\u65b7\u80fd\u529b\u3002\u57f9\u990a\u5b78\u751f\u7684&#8221;Sound judgement &#8220;\u662f\u96a8\u6642\u968f\u5730\u61c9\u8a72\u6ce8\u610f\u7684\u3002<br \/>6.\u6211\u6240\u60f3\u50cf\u7684\u4e2d\u5b78&#8221; \u65b0\u6578\u5b78&#8221;\u662f\u5229\u7528\u7c21\u6613\u7684\u96c6\u5408\u6982\u5ff5\uff0c\u5728\u9069\u7576\u7684\u60c5\u51b5\u4e0b\uff0c\u628a\u7b97\u8853\u4ee3\u6578\u5e7e\u4f55\uff0c\u8cab\u7a7f\u5728\u4e00\u8d77\uff0c\u62cb\u68c4\u90a3\u4e9b\u8207\u6b63\u4ee3\u6578\u5b78\u7121\u95dc\u7684\u6559\u6750\uff0c\u4ee3\u63db\u4e00\u4e9b\u6025\u5207\u9700\u8981\u800c\u80fd\u7232\u4e2d\u5b78\u751f\u6240\u63a5\u53d7\u7684\u6559\u6750\u3002<br \/>7.\u6a0a\u757f\u5148\u751f\u8aaa\uff0c\u4e09\u628a\u6905\u5b50\u8207\u4e09\u628a\u6905\u5b50\u6240\u6210\u7684\u96c6\u5408\uff0c\u662f\u7528\u4e0d\u8457\u8981\u5c0f\u5b69\u5b50\u53bb\u5206\u8fa8\u7684\uff0c\u80e1\u4e16\u6968\u5148\u751f\u5728\u5176\u6240\u8457\u7684Elements of modern algebra\u4e00\u66f8\u4e2d\u5beb\u660e\uff1a&#8221; On 1ogical grounds,it is necessary to distinguish between object x and the set {x}.However, as a matter of notational convenience, we will freguently use the same sys bol x for an object x and the singleton {x} which consists of this object x.\u76ee\u524d\uff0c\u6709\u4e9b\u4eba\u628a\u6578\u5b78\u4e2d\u5f88\u591a\u7684&#8221;trivial cases&#8221;\u7576\u4f5c\u91cd\u8981\u554f\u984c\u4f86\u5927\u4f5c\u6587\u7ae0\uff0c\u770b\u4e86\u6a0a\uff0c\u80e1\u5169\u5148\u751f\u7684\u610f\u898b\uff0c\u4f3c\u4e4e\u61c9\u7576\u77e5\u6240\u8b66\u60d5\uff0c\u5982\u679c\u8981\u8a8d\u70ba\u9019\u5169\u5148\u751f\u7684\u610f\u898b\u9084\u4e0d\u8db3\u70ba\u6cd5\u7684\u8a71\uff0c\u6211\u60f3\u9019\u4eba\u4e0d\u662f\u72c2\u5984\uff0c\u4fbf\u662f\u7121\u77e5\uff0c&#8221;\u5c0f\u5b50\u9cf4\u9f13\u800c\u653b\u4e4b\u53ef\u4e5f\u3002&#8221;<br \/>8.\u5982\u679c\u4e00\u500b\u6578\u5b78\u6559\u5e2b\uff0c\u770b\u61c2\u4e86SMSG\u6559\u6750\uff0c\u53c8\u4e86\u89e3\u4e00\u9ede\u7f8e\u570b\u570b\u60c5\uff0c\u5c31\u5fc5\u80fd\u6b23\u8cdeSMSG\u7684\u512a\u9ede\uff0c\u518d\u7528\u4e00\u9ede\u601d\u60f3\uff0c\u914d\u5408\u6211\u570b\u570b\u60c5\uff0c\u4f86\u8b19\u865b\u7684\u5f9e\u4e8b\u6578\u5b78\u7814\u7a76\u5de5\u4f5c\uff0c\u5c0d\u6211\u5011\u6578\u5b78\u6559\u80b2\u6539\u9769\u4e4b\u63a8\u884c \uff0c\u5fc5\u5927\u6709\u88e8\u76ca\uff0c\u800c\u9020\u798f\u4e0b\u4e00\u4ee3\u4e86\u3002<br \/>9.\u6578\u5b78\u96d6\u7232\u6f14\u7e79\u79d1\u5b78\uff0c\u4f46\u5c0d\u521d\u5b78\u800c\u8a00\uff0c\u4ecd\u5f97\u5118\u91cf\u63a1\u7528\u76f4\u89c0\u8207\u6b78\u7d0d\uff0c\u4e2d\u5916\u5b78\u8005\uff0c\u5176\u6240\u4ee5\u4e3b\u5f35\uff0c \u521d\u5b78\u5e7e\u4f55\uff0c\u61c9\u4ee5\u5be6\u9a57\u5165\u624b\uff0c\u5176\u6545\u5728\u6b64\uff0c\u9805\u6b66\u7fa9\u5148\u751f\u66fe\u8aaa\uff1a&#8221;\u2026\u2026\u540d\u8a5e\u4e4b\u610f\u7fa9\uff0c\u6709\u8cf4\u65bc\u76f4\u89c0\uff0c\u2026\u2026\u52a0\u4e00\u4e9b\u8001\u6559\u6750\u4e2d\u7684&#8221;\u5be6\u9a57\u5e7e\u4f55&#8221; \uff0c\u53ef\u4ee5\u5e6b\u52a9\u5b78\u751f\u628a\u63e1\u9019\u4e9b\u5e7e\u4f55\u89c0\u5ff5\u3002&#8221; \u53ef\u60dc\u6709\u4e9b\u4eba\u7e3d\u8a8d\u70ba\u51e1\u662f\u5bb9\u6613\u7684\u6559\u6750\u90fd\u662f\u7121\u804a\u7684\uff0c\u5c0d\u53d6\u6750\u554f\u984c\uff0c\u832b\u7136\u7121\u77e5\uff0c\u9084\u8981\u81ea\u4ee5\u70ba\u662f\uff0c\u9019\u662f\u6578\u5b78\u6559\u80b2\u6539\u9769\u4e2d\u6700\u5927\u7d46\u811a\u77f3\u3002<br \/>10.\u81ea\u5351\u611f\u8868\u73fe\u65bc\u5916\uff0c\u5f80\u5f80\u662f\u60fa\u60fa\u4f5c\u614b\uff0c\u6642\u4e0b\u9752\u5e74\u6d41\u884c\u8457 &#8221; \u84cb &#8220;\u3002\u6211\u4e0d\u77e5\u9053\u662f\u5426\u6709\u81ea\u5351\u7684\u56e0 \u7d20\u3002\u6211\u60f3\uff0c\u82e5\u4e0d\u662f\u70ba\u4e86&#8221; \u8f15\u9b06\u6109\u5feb&#8221; \uff0c\u9084\u4ee5\u5c11&#8221; \u84cb&#8221; \u70ba\u5999\u3002<br \/>11.Continuous\u6700\u9700\u6709\u7528\uff0c\u65e2\u540d&#8221;\u4e0d\u9023\u7e8c\u96c6&#8221;\uff0c\u5c31\u7b97\u662fImproper \uff0c\u61c9\u8a72\u5c11\u5beb\uff0c\u60df\u671b\u540c\u5b78\uff0c\u6709\u4ee5\u601d\u4e4b\uff0c&#8221; \u5b78\u800c\u4e0d\u6069\u5247\u7f54&#8221; \u4e5f\u3002<\/p><p><strong><span style=\"color: red;\">\u76ee\u9304<\/span><\/strong><br \/>\u516c\u8a2d\u5316\u7406\u8ad6\u7c21\u4ecb \u6578\u56db \u8cf4\u4e16\u502b 2<br \/>\u706b\u817f \u4e09\u6587\u6cbb\u5b9a\u7406 \u6578\u56db \u9ec3\u91d1\u8c50\u6eff 4<br \/>\u7d14\u6578\u5b78?\u96fb\u5b50\u8a08\u7b97\u6a5f? \u6578\u56db \u9ec3\u4eba\u7fa4 \u5f6d\u91d1\u8c50 5<br \/>A Note on The Ordinal Space \u6578\u56db \u6797\u9d3b\u8ce2 11<br \/>\u8ac7\u5e7e\u4f55\u516c\u8a2d \u6578\u4e09 \u6797\u7389\u658c 13<br \/>\u908f\u8f2f\u7cfb\u7d71\u7c21\u4ecb \u6578\u4e09 \u738b\u9811\u7389 17<br \/>0 \u8207 1\u4e4b\u9593 \u6578\u4e8c \u90ed\u5b78\u4eba 19<br \/>\u5411\u91cf\u8207\u5f35\u91cf \u6578\u4e8c \u6bb5\u53f0\u751f 22<br \/>\u5fae\u5206 \u6578\u4e8c \u4e8e\u9756 24<br \/><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">\u6578\u5b78\u63a8\u8ad6\u4e0a\u7684\u4e00\u500b\u8a55\u50f9 \u6578\u4e8c Onhearting 30<br \/><\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">\u6578\u8ad6\u88cf\u7684\u5e7e\u500b\u554f\u984c \u6578\u4e8c \u6bb5\u53f0\u751f 38<br \/><\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">\u5c04\u5f71\u5e7e\u4f55\u4e2d\u7684\u9f4a\u6b21\u5ea7\u6a19 \u6578\u4e00 \u8449\u6a39\u83ef 40<br \/><\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">\u5929\u652f\u5730\u652f\u914d\u6cd5\u7c21\u4ecb \u6578\u4e8c \u9673\u767b\u6e90 43<br \/><\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">\u540c\u502b\u7684\u6982\u5ff5 \u6578\u4e8c \u9673\u67cf 45<br \/><\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">\u9ece\u66fc\u7a4d\u5206\u7684\u63a8\u5ee3\u4e00Lebesgue \u7a4d\u5206 \u6578\u4e00\u00a0<\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">\u8449\u6a39\u83ef 54<br \/><\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">The Free Structure \u6578\u56db \u6797\u9d3b\u8ce2 67<br \/><\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">Notes On Th Theory of Differential Equations \u6578\u4e8c\u00a0<\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">\u4e8e\u9756 73<br \/><\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">On Lattice \u6578\u4e8c \u674e\u5f81\u52f3 78<br \/><\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">\u53c8\u662f\u4e00\u5e74 \u6578\u4e09 \u8b1d\u654f\u81f4 88<br \/><\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">\u7cfb\u53cb\u901a\u8a0a\u9304 90<br \/><\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; color: var( --e-global-color-text );\">\u4e94\u5341\u4e5d\u5b78\u5e74\u5ea6\u5b78\u6703\u520a\u7269\u5fbd\u7a3f\u5553\u4e8b 91<\/span><\/p><hr id=\"system-readmore\" \/><p>(\u95b1\u8b80\u5168\u6587\uff0c\u8acb\u4e0b\u8f09\u9644\u52a0\u6a94\u6848)<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-37f6b134 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"37f6b134\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7fd917b7\" data-id=\"7fd917b7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d9061ea elementor-widget elementor-widget-html\" data-id=\"d9061ea\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\u9644\u52a0\u6a94\u6848\uff5c<a href=\"https:\/\/virtual.math.ntnu.edu.tw\/wp-content\/uploads\/2022\/12\/\u6578\u5b78\u7cfb\u520a4.pdf\">\u6578\u5b78\u7cfb\u520a\u7b2c\u56db\u671f.pdf<\/a>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<p class=\"wpf_wrapper\"><a class=\"print_link\" href=\"\" target=\"_blank\">\u53cb\u5584\u5217\u5370<\/a><\/p><!-- .wpf_wrapper -->","protected":false},"excerpt":{"rendered":"<p>\u4e0d\u9023\u7e8c\u96c6 \u5eb7\u6d2a\u5143 1.\u6a19\u984c\u6709&#8221;\u6feb\u7528\u540d\u8a5e&#8221; \u4e4b\u5f0a\uff0c\u4e0d\u5f97\u5df2\u800c\u7528\u4e4b\uff0c\u4e0d\u8db3\u53d6\u6548\u3002 2.\u6578\u5b78\u7cfb\u520a [&hellip;]<\/p>\n","protected":false},"author":15,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[183],"tags":[],"_links":{"self":[{"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/posts\/14653"}],"collection":[{"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/users\/15"}],"replies":[{"embeddable":true,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/comments?post=14653"}],"version-history":[{"count":11,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/posts\/14653\/revisions"}],"predecessor-version":[{"id":14753,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/posts\/14653\/revisions\/14753"}],"wp:attachment":[{"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/media?parent=14653"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/categories?post=14653"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/tags?post=14653"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}