{"id":708,"date":"2017-11-12T15:13:45","date_gmt":"2017-11-12T15:13:45","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=708"},"modified":"2024-12-19T05:01:36","modified_gmt":"2024-12-19T05:01:36","slug":"introduction-to-geometrical-transformations","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/introduction-to-geometrical-transformations\/","title":{"rendered":"Introduction to Geometrical Transformations"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<\/p>\n<p style=\"text-align: justify;\"><strong>Course: <\/strong><strong>AMT 213 1.0 Introduction to Geometrical Transformations <\/strong><strong>(Compulsory)<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Course content:\u00a0<\/strong><\/p>\n<p style=\"text-align: justify;\">Solid Analytic Geometry; revision of coordinates and vectors, lines and planes, Affine Spaces; equation of a line in an affine space, equation of a plane in an affine space, definition of an affine transformation, properties of affine transformations, Geometrical Transformations; two dimensional transformations, three dimensional transformations, Viewing in 3D; perspective projection, parallel projection<\/p>\n<p style=\"text-align: justify;\"><strong>Recommended Readings:\u00a0<\/strong><\/p>\n<ol>\n<li>Fenn,R. (2000). <em>Geometry<\/em>. Springer.<\/li>\n<li>Coxeter,H.S.M. (1969). <em>Introduction to Geometry<\/em>. John Wiley and Sons, Inc.<\/li>\n<li>Dodge,C.W. (2004). <em>Euclidean Geometry and Transformations<\/em>. Dover Publications.<\/li>\n<li>Modenov,P.S., &amp; Parkhomenko,A.S. (1965). <em>Geometric Transformations, Survey of Recent East <\/em><em>European Mathematical Literature<\/em>. Vol. I<\/li>\n<li>Yaglom,I.M. (1975). <em>Geometric Transformations I<\/em>. The Mathematical Association of America.<\/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: AMT 213 1.0 Introduction to Geometrical Transformations (Compulsory) Course content:\u00a0 Solid Analytic Geometry; revision of coordinates and vectors, lines and planes, Affine Spaces; equation of a line in an affine space, equation of a plane in an affine space, definition of an affine transformation, properties of affine transformations, Geometrical Transformations; two dimensional transformations, &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/introduction-to-geometrical-transformations\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Introduction to Geometrical Transformations<\/span><\/a><\/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\/708"}],"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=708"}],"version-history":[{"count":2,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/708\/revisions"}],"predecessor-version":[{"id":4750,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/708\/revisions\/4750"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=708"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}