{"id":4671,"date":"2024-12-18T18:54:07","date_gmt":"2024-12-18T18:54:07","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=4671"},"modified":"2024-12-18T18:54:35","modified_gmt":"2024-12-18T18:54:35","slug":"mat-322-2-0-differential-geometry","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/mat-322-2-0-differential-geometry\/","title":{"rendered":"MAT 322 2.0 Differential Geometry"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<\/p>\n<p><strong>Course:\u00a0\u00a0<\/strong>MAT 322 2.0 Differential Geometry (Compulsory)<\/p>\n\n<p><strong>Course Content<\/strong>:<\/p>\n\n<p style=\"text-align: justify;\">Curves and arc length; Regular curves; First fundamental form; Gauss map; Shape operator; mean and Gauss curvatures; Second fundamental form; totally umbilic surfaces; normal curvatures; Isoperimetric inequality; Gauss-Bonnet theorem; applications of Gauss Bonnet theorem.<\/p>\n\n<p><strong>Recommend Readings:<\/strong><\/p>\n\n\n<ol type=\"1\">\n<li style=\"list-style-type: none;\">\n<ol type=\"1\"><\/p>\n<li>Carmo, M. P. D. (2017). <em>Differential geometry of curves and surfaces<\/em> (\u201cRevised,\u201d \u201cUpdated,\u201d \u201c2\u201d ed.). Dover Publications.<\/li>\n\n\n<li>Shifrin, T. (2016). <em>Differential geometry: A first course in curves and surfaces preliminary version summer<\/em>.<\/li>\n\n\n<li>Banchoff, T., &amp; Lovett, S. (2010). <em>Differential geometry of curves and surfaces<\/em>. A K Peters.<\/li>\n\n\n<li>Gibson, C. G. (2001). <em>Elementary geometry of differentiable curves: An undergraduate introduction,<\/em>. Cambridge University Press.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n\n\n<p>&nbsp;<\/p>\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:\u00a0\u00a0MAT 322 2.0 Differential Geometry (Compulsory) Course Content: Curves and arc length; Regular curves; First fundamental form; Gauss map; Shape operator; mean and Gauss curvatures; Second fundamental form; totally umbilic surfaces; normal curvatures; Isoperimetric inequality; Gauss-Bonnet theorem; applications of Gauss Bonnet theorem. Recommend Readings: &nbsp; [\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n","protected":false},"author":33,"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\/4671"}],"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\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/comments?post=4671"}],"version-history":[{"count":2,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4671\/revisions"}],"predecessor-version":[{"id":4674,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4671\/revisions\/4674"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=4671"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}