{"id":421,"date":"2017-11-06T09:25:09","date_gmt":"2017-11-06T09:25:09","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=421"},"modified":"2024-12-18T19:07:29","modified_gmt":"2024-12-18T19:07:29","slug":"number-theory","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/number-theory\/","title":{"rendered":"Number Theory"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<\/p>\n<p style=\"text-align: justify;\"><strong>Course:\u00a0 <\/strong><strong>MAT 352 2.0 Number Theory <\/strong><strong>(Compulsory)<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Course Content:\u00a0<\/strong><\/p>\n<p style=\"text-align: justify;\">Sets of numbers \u00a0and irrational numbers, Well ordering principle and Principle of mathematical induction; Divisibility properties, Division algorithm, Euclidean algorithm,\u00a0 Primes and their distribution, Theory of congruences, Chinese Remainder Theorem,\u00a0 Application of congruence&#8217;s, Fermat\u2019s little theorem; Wilson\u2019s theorem; Arithmetic functions, Euler\u2019s theorem, Fibonacci and Lucas sequences, finite Continued Fractions, Infinite continued fractions, Some Diophantine equations (nonlinear).<\/p>\n<p><strong>\u00a0<\/strong><strong>Recommend Readings:<\/strong><\/p>\n<ol>\n<li>David M. Burton, Elementary number theory, Tata McGraw-Hill Edition, 2006<\/li>\n<li>Ramanujachary Kumanduri-Cristino Romero, Number Theory with computer applications, Prentice-Hall, Inc. 1998<\/li>\n<li>H.Hardy, E.M.Wright, An introduction to the theory of numbers, The Clarendon Press Oxford University Press , 1979<\/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:\u00a0 MAT 352 2.0 Number Theory (Compulsory) Course Content:\u00a0 Sets of numbers \u00a0and irrational numbers, Well ordering principle and Principle of mathematical induction; Divisibility properties, Division algorithm, Euclidean algorithm,\u00a0 Primes and their distribution, Theory of congruences, Chinese Remainder Theorem,\u00a0 Application of congruence&#8217;s, Fermat\u2019s little theorem; Wilson\u2019s theorem; Arithmetic functions, Euler\u2019s theorem, Fibonacci and Lucas &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/number-theory\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Number Theory<\/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\/421"}],"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=421"}],"version-history":[{"count":3,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/421\/revisions"}],"predecessor-version":[{"id":4685,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/421\/revisions\/4685"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=421"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}