{"id":24835,"date":"2022-09-02T16:25:52","date_gmt":"2022-09-02T08:25:52","guid":{"rendered":"https:\/\/ocw.nycu.edu.tw\/?post_type=course_page&#038;p=24835"},"modified":"2022-09-02T16:46:49","modified_gmt":"2022-09-02T08:46:49","slug":"%e5%82%85%e7%ab%8b%e8%91%89%e5%88%86%e6%9e%90%e5%8f%8a%e6%87%89%e7%94%a8-fourier-analysis-and-applications-%e6%87%89%e7%94%a8%e6%95%b8%e5%ad%b8%e7%b3%bb-%e6%9e%97%e7%90%a6%e7%84%9c%e8%80%81%e5%b8%ab","status":"publish","type":"course_page","link":"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course\/college-of-science\/am\/%e5%82%85%e7%ab%8b%e8%91%89%e5%88%86%e6%9e%90%e5%8f%8a%e6%87%89%e7%94%a8-fourier-analysis-and-applications-%e6%87%89%e7%94%a8%e6%95%b8%e5%ad%b8%e7%b3%bb-%e6%9e%97%e7%90%a6%e7%84%9c%e8%80%81%e5%b8%ab","title":{"rendered":"\u5085\u7acb\u8449\u5206\u6790\u53ca\u61c9\u7528 Fourier Analysis and Applications | \u61c9\u7528\u6578\u5b78\u7cfb \u6797\u7426\u711c\u8001\u5e2b"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"24835\" class=\"elementor elementor-24835\">\n\t\t\t\t\t\t\t\t\t<section class=\"penci-section penci-disSticky penci-structure-10 elementor-section elementor-top-section elementor-element elementor-element-13d70f5a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"13d70f5a\" 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<div class=\"penci-ercol-100 penci-ercol-order-1 penci-sticky-ct    elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-373a1db9\" data-id=\"373a1db9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3742aef4 elementor-widget elementor-widget-breadcrumbs\" data-id=\"3742aef4\" data-element_type=\"widget\" data-widget_type=\"breadcrumbs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<link rel=\"stylesheet\" href=\"https:\/\/ocw.nycu.edu.tw\/wp-content\/plugins\/elementor-pro\/assets\/css\/widget-theme-elements.min.css\"><p id=\"breadcrumbs\"><span><span><a href=\"https:\/\/ocw.nycu.edu.tw\/\">Homepage<\/a><\/span><\/span><\/p>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"penci-section penci-disSticky penci-structure-20 elementor-section elementor-top-section elementor-element elementor-element-2c3529c0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2c3529c0\" 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<div class=\"penci-ercol-50 penci-ercol-order-1 penci-sticky-ct    elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-128cf510\" data-id=\"128cf510\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2f3e8fc1 elementor-widget elementor-widget-penci-info-box\" data-id=\"2f3e8fc1\" data-element_type=\"widget\" data-widget_type=\"penci-info-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"penci_info_box_8798\" class=\"penci-block-vc penci-info-box penci-ibox-float-left penci-view-default penci-shape-circle\">\r\n\t\t\t<div class=\"penci-ibox-inner\">\r\n\t\t\t\t\t\t\t\t<div class=\"penci-ibox-icon penci-ibox-icon--icon penci-icon penci-tibox-text\"><span class=\"penci-ibox-icon-fa\"><\/span><\/div>\t\t\t\t<div class=\"penci-ibox-content-wrap\">\r\n\t\t\t\t\t<div class=\"penci-ibox-stit\">Fourier Analysis and Applications<\/div>\t\t\t\t\t<h3 class=\"penci-ibox-title\">\u5085\u7acb\u8449\u5206\u6790\u53ca\u61c9\u7528<\/h3>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-76f0aacd elementor-widget elementor-widget-eael-adv-tabs\" data-id=\"76f0aacd\" data-element_type=\"widget\" data-widget_type=\"eael-adv-tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t        <div id=\"eael-advance-tabs-76f0aacd\" class=\"eael-advance-tabs eael-tabs-horizontal eael-tab-auto-active\" data-tabid=\"76f0aacd\">\n            <div class=\"eael-tabs-nav\">\n                <ul class=\"eael-tab-inline-icon\">\n                                            <li id=\"home\" class=\"active-default eael-tab-item-trigger\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"home-tab\" aria-expanded=\"false\">\n                            \n                                         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   <\/li>\n                                    <\/ul>\n            <\/div>\n            \n            <div class=\"eael-tabs-content\">\n\t\t        \n                    <div id=\"home-tab\" class=\"clearfix eael-tab-content-item active-default\" data-title-link=\"home-tab\">\n\t\t\t\t        \t\t\t\t\t        <p><style type=\"text\/css\">\n.\u3002 {<br \/>\tfont-size: 18px;<br \/>}<br \/>.\u3002 {<br \/>\tfont-size: 18px;<br \/>}<br \/>.\u3002 {<br \/>\tfont-size: 18px;<br \/>}<br \/><\/style><\/p><p style=\"margin-bottom: 10px; line-height: 28px; color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\">\u672c\u8ab2\u7a0b\u662f\u7531\u00a0<a href=\"https:\/\/www.math.nycu.edu.tw\/\" target=\"_blank\" rel=\"noopener\">\u570b\u7acb\u967d\u660e\u4ea4\u901a\u5927\u5b78\u61c9\u7528\u6578\u5b78\u7cfb<\/a>\u00a0\u63d0\u4f9b\u3002<\/p><p style=\"margin-bottom: 10px; line-height: 28px; color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\">\u672c\u8ab2\u7a0b\u4e3b\u8981\u76ee\u7684\u662f\u4ecb\u7d39Fourier Analysis.\u5305\u62ecFourier series, Fourier transform \u53ca\u5176\u5728\u504f\u5fae\u5206\u65b9\u7a0b\u4e4b\u61c9\u7528\u3002<\/p><p>\u00a0<\/p><p><span style=\"color: #3366ff; font-size: 16px;\">\u8ab2\u7a0b\u7528\u66f8\uff1a<\/span><span style=\"font-size: 16px;\">Fourier Analysis and Boundary Value Problems,Enrique A. Gonz\u2019alez,Velasco, Academic Press.<br \/><\/span><\/p><p><span style=\"color: #ff00ff;\">\u70ba\u6c42\u5b78\u7fd2\u6210\u6548\u5b8c\u7f8e\uff0c\u8acb\u8cfc\u8cb7\u8ab2\u672c\uff01<\/span><\/p><p>\u00a0<\/p><table style=\"color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\" border=\"1\"><tbody><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\" width=\"100\">\u6388\u8ab2\u8001\u5e2b<\/th><td bgcolor=\"#EEEEEE\" width=\"518\"><span style=\"color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\">\u00a0\u61c9\u7528\u6578\u5b78\u7cfb \u6797\u7426\u711c\u8001\u5e2b<\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">\u8ab2\u7a0b\u5b78\u5206<\/th><td class=\"\u3002\"><span style=\"color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\">\u00a03\u5b78\u5206<\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">\u6388\u8ab2\u5e74\u5ea6<\/th><td bgcolor=\"#EEEEEE\">\u00a096\u5b78\u5e74\u5ea6<\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">\u6388\u8ab2\u5c0d\u8c61<\/th><td>\u00a0\u7814\u7a76\u6240\u5b78\u751f<\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">\u9810\u5099\u77e5\u8b58<\/th><td bgcolor=\"#EEEEEE\">\u00a0\u5fae\u7a4d\u5206\u3001\u7dda\u6027\u4ee3\u6578\u3001\u5e38\u5fae\u5206\u65b9\u7a0b<\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">\u8ab2\u7a0b\u63d0\u4f9b<\/th><td><i><\/i>\u00a0<a href=\"#video\">\u8ab2\u7a0b\u5f71\u97f3<\/a>\u00a0 \u00a0\u00a0<a href=\"#syllabus\">\u8ab2\u7a0b\u7db1\u8981<\/a>\u00a0 \u00a0 <a href=\"#calendar\">\u8ab2\u7a0b\u884c\u4e8b\u66c6<\/a><\/td><\/tr><\/tbody><\/table>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"video-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"video-tab\">\n\t\t\t\t        \t\t\t\t\t        <p>\n<table id=\"tablepress-48\" class=\"tablepress tablepress-id-48\">\n<thead>\n<tr class=\"row-1 odd\">\n\t<th class=\"column-1\">\u9031\u6b21<\/th><th class=\"column-2\">\u8ab2\u7a0b\u5167\u5bb9<\/th><th class=\"column-3\">\u8ab2\u7a0b\u5f71\u97f3<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-hover\">\n<tr class=\"row-2 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e00\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578(Fourier series) <br \/>\n1-1 \u4e09\u89d2Fourier\u7d1a\u6578 <br \/>\n1-2 2L\u9031\u671f\u51fd\u6578\u4e4bFourier \u7d1a\u6578<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=24921\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-3 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e00\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578(Fourier series) <br \/>\n1-2 2L\u9031\u671f\u51fd\u6578\u4e4bFourier \u7d1a\u6578<br \/>\n1-3 \u8907\u6578\u5f62\u5f0f\u7684 Fourier \u7d1a\u6578<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26859\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-4 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e00\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578(Fourier series) <br \/>\n1-4 Weierstrass\u903c\u8fd1\u5b9a\u7406<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26865\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-5 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e00\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578(Fourier series) <br \/>\n1-4 Weierstrass\u903c\u8fd1\u5b9a\u7406<br \/>\n1-5 Fourier\u7d1a\u6578\u4e4b\u5fae\u5206\u8207\u7a4d\u5206<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26871\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-6 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e00\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578(Fourier series) <br \/>\n1-5 Fourier\u7d1a\u6578\u4e4b\u5fae\u5206\u8207\u7a4d\u5206<br \/>\n1-6 Parseval \u5b9a\u7406<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26877\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-7 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e00\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578(Fourier series) <br \/>\n1-6 Parseval<br \/>\n\u9644\u9304\u4e00 \u6536\u6582\u5b9a\u7406<br \/>\n\u7b2c\u4e8c\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<br \/>\n2-1 Gibbs \u73fe\u8c61<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26887\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-8 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e8c\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<br \/>\n2-1 Gibbs \u73fe\u8c61<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26893\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-9 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e8c\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<br \/>\n2-2 \u9010\u9ede\u6536\u6582\u8207Dirichlet\u6838<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26899\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-10 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e8c\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<br \/>\n2-3 \u4e00\u81f4(\u5747\u52fb)\u6536\u6582\u8207Fejer\u6838<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26905\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-11 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e8c\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<br \/>\n2-4 Abel\u6536\u6582\u8207Poisson\u6838<br \/>\n2-5 \u6700\u5c0f\u4e8c\u4e58\u65b9\u8207\u5167\u7a4d\u7a7a\u9593<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26911\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-12 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e8c\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<br \/>\n2-5 \u6700\u5c0f\u4e8c\u4e58\u65b9\u8207\u5167\u7a4d\u7a7a\u9593<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26917\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-13 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e8c\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series) <br \/>\n2-5 \u6700\u5c0f\u4e8c\u4e58\u65b9\u8207\u5167\u7a4d\u7a7a\u9593<br \/>\n2-6 Strum-Liouville\u554f\u984c<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26923\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-14 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e8c\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<br \/>\n2-6 Strum-Liouville\u554f\u984c<br \/>\n\u7b2c\u4e09\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u4e4b\u61c9\u7528(Applications of Fourier series)<br \/>\n3-1 \u71b1\u50b3\u5c0e\u65b9\u7a0b\u5f0f<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26929\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-15 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e09\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u4e4b\u61c9\u7528(Applications of Fourier series) <br \/>\n3-1 \u71b1\u50b3\u5c0e\u65b9\u7a0b\u5f0f <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26935\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-16 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e09\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u4e4b\u61c9\u7528(Applications of Fourier series) <br \/>\n3-2 \u6ce2\u52d5\u65b9\u7a0b\u5f0f<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26943\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-17 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e09\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u4e4b\u61c9\u7528(Applications of Fourier series) <br \/>\n3-2 \u6ce2\u52d5\u65b9\u7a0b\u5f0f<br \/>\n3-3 Laplace\u65b9\u7a0b\u5f0f<br \/>\n3-4 Schrodinger\u65b9\u7a0b\u5f0f<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26949\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-18 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e09\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u4e4b\u61c9\u7528(Applications of Fourier series) <br \/>\n3-4 Schrodinger\u65b9\u7a0b\u5f0f<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26957\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-19 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e09\u7ae0 \u5085\u7acb\u8449\u7d1a\u6578\u4e4b\u61c9\u7528(Applications of Fourier series) <br \/>\n3-4 Schrodinger\u65b9\u7a0b\u5f0f<br \/>\n3-5 \u7b49\u5468\u9577\u4e0d\u7b49\u5f0f<br \/>\n3-6 \u5206\u96e2\u8b8a\u6578\u6cd5\uff1a\u4e00\u822c\u8ad6\u8ff0<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26967\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-20 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u56db\u7ae0 \u5085\u7acb\u8449\u7a4d\u5206(Fourier Integral) <br \/>\n4-1 Fourier \u7a4d\u5206\u516c\u5f0f<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26973\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-21 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u56db\u7ae0 \u5085\u7acb\u8449\u7a4d\u5206(Fourier Integral) <br \/>\n4-2 Fourier transform<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26979\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-22 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u56db\u7ae0 \u5085\u7acb\u8449\u7a4d\u5206(Fourier Integral)<br \/>\n4-2 Fourier transform<br \/>\n4-3 Convolution (\u8936\u7a4d\u3001\u5377\u7a4d)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26987\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-23 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u56db\u7ae0 \u5085\u7acb\u8449\u7a4d\u5206(Fourier Integral)<br \/>\n4-4 Fourier invension formular and Laplace transform<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=26995\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-24 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u56db\u7ae0 \u5085\u7acb\u8449\u7a4d\u5206(Fourier Integral)<br \/>\n4-4 Fourier invension formular and Laplace transform<br \/>\n4-5 Spectral analysis of fourier<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=27003\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-25 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u56db\u7ae0 \u5085\u7acb\u8449\u7a4d\u5206(Fourier Integral)<br \/>\n4-6 Poisson \u6c42\u548c\u516c\u5f0f<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=27013\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-26 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e94\u7ae0 Fourier transform on R<br \/>\n5-1 Elementary properties<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=27021\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-27 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e94\u7ae0 Fourier transform on R<br \/>\n5-1 Elementary properties<br \/>\n5-2 Bessel function<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=27027\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-28 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e94\u7ae0 Fourier transform on R<br \/>\n5-2 Bessel function<br \/>\n5-3 Fourier transform of a radial function<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=27033\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-29 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e94\u7ae0 Fourier transform on R<br \/>\n5-3 Fourier transform of a radial function<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=27039\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-30 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e94\u7ae0 Fourier transform on R<br \/>\n5-6 Applications of Fourier transform in R^n<br \/>\n5-7 Dimensional Analysis<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=27045\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-31 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e94\u7ae0 Fourier transform on R<br \/>\n5-8 Fundamental Solution<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=27051\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-48 from cache --><\/p>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"syllabus-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"syllabus-tab\">\n\t\t\t\t        \t\t\t\t\t        <p class=\"title\"><strong>\u8ab2\u7a0b\u76ee\u6a19<\/strong><\/p>\n<p class=\"text\">\u672c\u8ab2\u7a0b\u4e3b\u8981\u76ee\u7684\u662f\u4ecb\u7d39Fourier Analysis\uff0c\u5305\u62ecFourier series\u3001Fourier transform \u53ca\u5176\u5728\u504f\u5fae\u5206\u65b9\u7a0b\u4e4b\u61c9\u7528 \u3002<\/p>\n<br \/>\n<p class=\"title\"><strong>\u8ab2\u7a0b\u7ae0\u7bc0<\/strong><\/p>\n<table border=\"1\" cellspacing=\"0\">\n<tbody>\n<tr class=\"stitle\">\n<td bgcolor=\"#e4d8b0\"><strong> \u7ae0\u7bc0<\/strong><\/td>\n<td bgcolor=\"#e4d8b0\"><strong> \u7ae0\u7bc0\u5167\u5bb9<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:5px;\"><span class=\"text\">\u7b2c\u4e00\u7ae0<\/span><\/td>\n<td style=\"padding:5px;\"><span class=\"text\">\u5085\u7acb\u8449\u7d1a\u6578(Fourier series)<\/span><\/td>\n<\/tr>\n<tr>\n<td bgcolor=\"#f2f2ec\"; style=\"padding:5px;\"><span class=\"text\">\u7b2c\u4e8c\u7ae0<\/span><\/td>\n<td bgcolor=\"#f2f2ec\"; style=\"padding:5px;\"><span class=\"text\">\u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:5px;\"><span class=\"text\">\u7b2c\u4e09\u7ae0<\/span><\/td>\n<td style=\"padding:5px;\"><span class=\"text\"> \u5085\u7acb\u8449\u7d1a\u6578\u4e4b\u61c9\u7528(Application to partial differential equation)<\/span><\/td>\n<\/tr>\n<tr>\n<td bgcolor=\"#f2f2ec\"; style=\"padding:5px;\"><span class=\"text\">\u7b2c\u56db\u7ae0<\/span><\/td>\n<td bgcolor=\"#f2f2ec\"; style=\"padding:5px;\"><span class=\"text\">\u5085\u7acb\u8449\u7a4d\u5206(Fourier Integral)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding:5px;\"><span class=\"text\">\u7b2c\u4e94\u7ae0<\/span><\/td>\n<td style=\"padding:5px;\"><span class=\"text\">Fourier transform on R<\/span><\/td>\n<\/tr>\n<tr>\n<td bgcolor=\"#f2f2ec\"; style=\"padding:5px;\"><span class=\"text\">\u7b2c\u516d\u7ae0<\/span><\/td>\n<td bgcolor=\"#f2f2ec\"; style=\"padding:5px;\"><span class=\"text\">Fourier transform in Higher dimension<\/span><\/td>\n<\/tr>\n<\/tbody>\n<br \/>\n\n<\/table>\n<br \/>\n<p class=\"title\"><strong>\u8ab2\u7a0b\u66f8\u76ee<\/strong><\/p>\n<p class=\"text\">Fourier Analysis and Boundary Value Problems,Enrique A. Gonz\u2019alez,Velasco, Academic Press.<\/p>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"calendar-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"calendar-tab\">\n\t\t\t\t        \t\t\t\t\t        <p><span style=\"FONT-FAMILY: \u65b0\u7d30\u660e\u9ad4; font-size: 15px;\">\u672c\u8ab2\u7a0b\u884c\u4e8b\u66c6\u63d0\u4f9b\u8ab2\u7a0b\u9032\u5ea6\u8207\u8003\u8a66\u8cc7\u8a0a\u53c3\u8003\u3002<\/span><br \/>\n<\/p>\n<table border=\"1\" cellspacing=\"0\" style=\"font-style: normal; line-height: 20px; font-size: 15px; text-align: center;\">\n\n\t<tbody>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#e4d8b0\" width=\"76\">\n\t\t\t  <div style=\"TEXT-ALIGN: center\">\n\t\t\t\t\t<span style=\"COLOR: #000000; font-weight: bold;\"><strong>\u5b78\u671f\u9031\u6b21<\/strong><\/span><\/div>\n\t\t\t<\/td>\n\t\t\t<td bgcolor=\"#e4d8b0\" width=\"440\">\n\t\t\t\t<div style=\"TEXT-ALIGN: center; font-size: 15px; font-weight: bold;\"><strong>\u53c3\u8003\u8ab2\u7a0b\u9032\u5ea6<\/strong>\n\t\t\t\t<\/div>\n\t\t  <\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td style=\"text-align: center\">\n\t\t\t\t<p>\n\t\t\t\t\t<span class=\"text\">\u7b2c\u4e00\u9031<\/span><\/p>\n\t\t\t<\/td>\n\t\t\t<td style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578(Fourier series)<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u4e8c\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578(Fourier series)<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u4e09\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578(Fourier series)<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u56db\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578(Fourier series) <\/li>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u4e94\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u516d\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u4e03\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u516b\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578\u7684\u6536\u6582\u6027(Convergence of Fourier series)<\/li>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578\u4e4b\u61c9\u7528(Applications of Fourier series)<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u4e5d\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578\u4e4b\u61c9\u7528(Applications of Fourier series)<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#F2F2EC\" style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578\u4e4b\u61c9\u7528(Applications of Fourier series)<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u4e00\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>\u5085\u7acb\u8449\u7d1a\u6578\u4e4b\u61c9\u7528(Applications of Fourier series)<\/li>\n\t\t\t  <li>Fourier Integral<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u4e8c\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>Fourier Integral<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u4e09\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>Fourier Integral<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u56db\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>Fourier Integral<\/li>\n\t\t\t  <li>Fourier transform on R<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u4e94\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>Fourier transform on R<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u516d\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>Fourier transform on R<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u4e03\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: left; padding:5px;\"><ul>\n\t\t\t  <li>Fourier transform in Higher dimension<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n  <\/tbody>\n<\/table>\t\t\t\t                            <\/div>\n\t\t                    <\/div>\n        <\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-44bdbd33 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"44bdbd33\" data-element_type=\"widget\" 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