{"id":440,"date":"2017-11-06T10:06:54","date_gmt":"2017-11-06T10:06:54","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=440"},"modified":"2024-12-19T03:52:22","modified_gmt":"2024-12-19T03:52:22","slug":"complex-variables","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/complex-variables\/","title":{"rendered":"MAT 377 3.0 Complex Variables"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<strong>Course: <\/strong>MAT 377 3.0 Complex Variables (Compulsory)<\/p>\n<p style=\"text-align: justify;\"><strong>Course content:\u00a0<\/strong><\/p>\n<p style=\"text-align: justify;\">Complex numbers and their properties, Elementary functions, Limit, continuity, and uniform continuity Complex differentiations, Analytic functions, The Cauchy-Riemann equations and Cauchy\u2019s theorems, Harmonic functions, Liouville&#8217;s theorem, Morera&#8217;s theorem and maximum modules theorem, Sequences and series, Taylor and Laurent series, Singularities, Residual Theory, Cauchy Residue theorem, Using residue theory to compute some definite integrals, Schwarz lemma, Rouche&#8217;s theorem<\/p>\n<p style=\"text-align: justify;\"><strong>Recommended Readings:<\/strong><\/p>\n<ol>\n<li>Gamelin,T.W. (2001). <em>Complex Analysis<\/em>. Spring.<\/li>\n<li>Philips, E.G. (1940). <em>Complex Variables<\/em>. Dover Books.<\/li>\n<li>Conway, John B. (1973). <em>Functions of one complex variable.<\/em> Spring.<\/li>\n<\/ol>\n<p>[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n<\/section>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text]Course: MAT 377 3.0 Complex Variables (Compulsory) Course content:\u00a0 Complex numbers and their properties, Elementary functions, Limit, continuity, and uniform continuity Complex differentiations, Analytic functions, The Cauchy-Riemann equations and Cauchy\u2019s theorems, Harmonic functions, Liouville&#8217;s theorem, Morera&#8217;s theorem and maximum modules theorem, Sequences and series, Taylor and Laurent series, Singularities, Residual Theory, Cauchy Residue theorem, Using &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/complex-variables\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">MAT 377 3.0 Complex Variables<\/span><\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_ti_tpc_template_sync":false,"_ti_tpc_template_id":"","footnotes":""},"_links":{"self":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/440"}],"collection":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/comments?post=440"}],"version-history":[{"count":6,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/440\/revisions"}],"predecessor-version":[{"id":4699,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/440\/revisions\/4699"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=440"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}