{"id":234,"date":"2015-02-27T18:54:24","date_gmt":"2015-02-27T18:54:24","guid":{"rendered":"http:\/\/sites.uepb.edu.br\/gprpem\/?p=234"},"modified":"2015-02-27T18:54:24","modified_gmt":"2015-02-27T18:54:24","slug":"principles-of-mathematical-problem-solving","status":"publish","type":"post","link":"https:\/\/grupos.uepb.edu.br\/gprpem\/2015\/02\/27\/principles-of-mathematical-problem-solving\/","title":{"rendered":"Principles of Mathematical Problem Solving"},"content":{"rendered":"<p><a href=\"https:\/\/grupos.uepb.edu.br\/gprpem\/wp-content\/uploads\/sites\/3\/2015\/02\/principles.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright  wp-image-235 img-responsive\" alt=\"principles\" src=\"https:\/\/grupos.uepb.edu.br\/gprpem\/wp-content\/uploads\/sites\/3\/2015\/02\/principles.jpg\" width=\"240\" height=\"356\" srcset=\"https:\/\/grupos.uepb.edu.br\/gprpem\/wp-content\/uploads\/sites\/3\/2015\/02\/principles.jpg 337w, https:\/\/grupos.uepb.edu.br\/gprpem\/wp-content\/uploads\/sites\/3\/2015\/02\/principles-202x300.jpg 202w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a>Martin J. Erickson, Joe Flowers<\/p>\n<p>(p\u00e1gina de Martin Erickson :\u00a0<a href=\"http:\/\/erickson.sites.truman.edu\/\" target=\"_blank\">erickson.sites.truman.edu<\/a>)<\/p>\n<p>Pearson | 1998 | 252 P\u00e1ginas | djvu | 3 Mb<\/p>\n<p><a href=\"http:\/\/lib.freescienceengineering.org\/view.php?id=815378\" target=\"_blank\">link<\/a><br \/>\n<a href=\"http:\/\/en.bookfi.org\/book\/1451235\" target=\"_blank\">link1<\/a><br \/>\n<a href=\"http:\/\/filepost.com\/files\/efd43ee3\/Principles_of_Mathematical.djvu\/\" target=\"_blank\">filepost.com<\/a><\/p>\n<div>This book presents the principles and specific problem-solving methods that can be used to solve a variety of mathematical problems. The book provides clear examples of various problem-solving methods accompanied by numerous exercises and their solutions. Principles of Mathematical Problem Solving introduces and explains specific problem-solving methods (with examples), and gives a set of exercises and complete solutions for each method. The idea is that by studying the principles and applying them to the exercises, the reader will gain problem-solving ability as well as general mathematical insight. Eventually, the reader should be able to produce results that have &#8220;the whole air of intuition.&#8221; Organized according to specific techniques in separate chapters, techniques include induction and the pigeonhole principle, among others. Arranged in order of increasing difficulty, the book presents a wide variety of problem sets designed to illustrate significant mathematical ideas. Each chapter also includes a moderate amount of the &#8220;theory&#8221; behind each problem-solving principle it presents. An essential resource for every student of mathematics and every professional who needs to solve mathematical problems.<\/div>\n<p><b><i>Contents<\/i><\/b><br \/>\nPreface<br \/>\n1 Data<br \/>\n2 Direct and Indirect Reasoning<br \/>\n3 Contradiction<br \/>\n4 Induction<br \/>\n5 Specialization and Generalization<br \/>\n6 Symmetry<br \/>\n7 Parity<br \/>\n8 Various Moduli<br \/>\n9 Pigeonhole Principle<br \/>\n10 Two-Way Counting<br \/>\n11 Inclusion\u2013Exclusion Principle<br \/>\n12 Algebra of Polynomials<br \/>\n13 Recurrence Relations and Generating Functions<br \/>\n14 Maxima and Minima<br \/>\n15 Means, Inequalities, and Convexity<br \/>\n16 Mean Value Theorems<br \/>\n17 Summation by Parts<br \/>\n18 Estimation<br \/>\n19 Deus Ex Machina<br \/>\n20 More Problems<br \/>\nGlossary<br \/>\nBibliography<\/p>\n<p><b><i>Outros livros de\u00a0<\/i><\/b><b><i>Martin J. Erickson<\/i><\/b>:<\/p>\n<p><a href=\"http:\/\/livros-matema.blogspot.pt\/2012\/07\/beautiful-mathematics.html\" target=\"_blank\">Beautiful Mathematics<\/a><br \/>\n<a href=\"http:\/\/livros-matema.blogspot.pt\/2009\/10\/aha-solutions.html\" target=\"_blank\">Aha! Solutions<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Martin J. Erickson, Joe Flowers (p\u00e1gina de Martin Erickson :\u00a0erickson.sites.truman.edu) Pearson | 1998 | 252 P\u00e1ginas | djvu | 3 Mb link link1 filepost.com This book presents the principles and specific problem-solving methods that can be used to solve a variety of mathematical problems. The book provides clear examples of various problem-solving methods accompanied by <a class=\"leiamais\" href=\"https:\/\/grupos.uepb.edu.br\/gprpem\/2015\/02\/27\/principles-of-mathematical-problem-solving\/\">Leia Mais&#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-234","post","type-post","status-publish","format-standard","hentry","category-livros"],"_links":{"self":[{"href":"https:\/\/grupos.uepb.edu.br\/gprpem\/wp-json\/wp\/v2\/posts\/234","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/grupos.uepb.edu.br\/gprpem\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/grupos.uepb.edu.br\/gprpem\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/grupos.uepb.edu.br\/gprpem\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/grupos.uepb.edu.br\/gprpem\/wp-json\/wp\/v2\/comments?post=234"}],"version-history":[{"count":0,"href":"https:\/\/grupos.uepb.edu.br\/gprpem\/wp-json\/wp\/v2\/posts\/234\/revisions"}],"wp:attachment":[{"href":"https:\/\/grupos.uepb.edu.br\/gprpem\/wp-json\/wp\/v2\/media?parent=234"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/grupos.uepb.edu.br\/gprpem\/wp-json\/wp\/v2\/categories?post=234"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/grupos.uepb.edu.br\/gprpem\/wp-json\/wp\/v2\/tags?post=234"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}