{"id":5947,"date":"2020-02-26T14:36:24","date_gmt":"2020-02-26T07:36:24","guid":{"rendered":"http:\/\/stang.sc.mahidol.ac.th\/newresources\/?p=5947"},"modified":"2020-02-26T14:36:24","modified_gmt":"2020-02-26T07:36:24","slug":"how-to-prove-it-a-structured-approach","status":"publish","type":"post","link":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/?p=5947","title":{"rendered":"How to prove it : a structured approach"},"content":{"rendered":"<p><a href=\"https:\/\/library.mahidol.ac.th\/record=b1495205a\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-5887 size-medium\" src=\"http:\/\/stang.sc.mahidol.ac.th\/newresources\/wp-content\/uploads\/2020\/02\/66733-199x300.jpg\" alt=\"\" width=\"199\" height=\"300\" srcset=\"https:\/\/stang.sc.mahidol.ac.th\/newresources\/wp-content\/uploads\/2020\/02\/66733-199x300.jpg 199w, https:\/\/stang.sc.mahidol.ac.th\/newresources\/wp-content\/uploads\/2020\/02\/66733-768x1160.jpg 768w, https:\/\/stang.sc.mahidol.ac.th\/newresources\/wp-content\/uploads\/2020\/02\/66733-678x1024.jpg 678w, https:\/\/stang.sc.mahidol.ac.th\/newresources\/wp-content\/uploads\/2020\/02\/66733.jpg 800w\" sizes=\"auto, (max-width: 199px) 100vw, 199px\" \/><\/a><\/p>\n<p><strong>AUTHOR<\/strong> :\u00a0 Velleman, Daniel J.<\/p>\n<p><strong>CALL NO<\/strong> :\u00a0 QA9 V439h 2019<\/p>\n<p><strong>IMPRINT<\/strong> :\u00a0\u00a0 Cambridge : Cambridge University Press, c2019<!--more--><\/p>\n<p>Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text&#8217;s third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of proofs. The book begins with the basic concepts of logic and set theory to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for an analysis of techniques that can be used to build up complex proofs step by step, using detailed &#8216;scratch work&#8217; sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and, of course, mathematicians.<\/p>\n<ul>\n<li>Perfect for self-study, an introduction to proofs course, or as a supplementary text for a discrete mathematics course or foundations of computing course<\/li>\n<li>Systematic and thorough, showing how several techniques can be combined to construct a complex proof<\/li>\n<li>Covers logic, set theory, relations, functions, and cardinality<\/li>\n<\/ul>\n<p>Source :\u00a0 <a href=\"https:\/\/www.cambridge.org\/th\/academic\/subjects\/mathematics\/logic-categories-and-sets\/how-prove-it-structured-approach-3rd-edition?format=PB\">https:\/\/www.cambridge.org\/th\/academic\/subjects\/mathematics\/logic-categories-and-sets\/how-prove-it-structured-approach-3rd-edition?format=PB<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>AUTHOR :\u00a0 Velleman, Daniel J. CALL NO :\u00a0 QA9 V439h 2019 IMPRINT :\u00a0\u00a0 Cambridge : Cambridge University Press, c2019<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-5947","post","type-post","status-publish","format-standard","hentry","category-new-book-releases"],"_links":{"self":[{"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/posts\/5947","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5947"}],"version-history":[{"count":1,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/posts\/5947\/revisions"}],"predecessor-version":[{"id":5948,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/posts\/5947\/revisions\/5948"}],"wp:attachment":[{"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5947"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5947"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5947"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}