{"product_id":"discrete-mathematics-with-proof-eric-gossett-9780470457931","title":"Discrete Mathematics with Proof","description":"\u003cb\u003eA Trusted Guide to Discrete Mathematics with Proof?Now in a Newly Revised Edition\u003c\/b\u003e \u003cp\u003eDiscrete mathematics has become increasingly popular in recent years due to its growing applications in the field of computer science. \u003ci\u003eDiscrete Mathematics with Proof, Second Edition\u003c\/i\u003e continues to facilitate an up-to-date understanding of this important topic, exposing readers to a wide range of modern and technological applications.\u003c\/p\u003e \u003cp\u003eThe book begins with an introductory chapter that provides an accessible explanation of discrete mathematics. Subsequent chapters explore additional related topics including counting, finite probability theory, recursion, formal models in computer science, graph theory, trees, the concepts of functions, and relations. Additional features of the \u003ci\u003eSecond Edition\u003c\/i\u003e include: \u003c\/p\u003e \u003cul\u003e \u003cli\u003eAn intense focus on the formal settings of proofs and their techniques, such as constructive proofs, proof by contradiction, and combinatorial proofs\u003c\/li\u003e \u003cli\u003eNew sections on applications of elementary number theory, multidimensional induction, counting tulips, and the binomial distribution\u003c\/li\u003e \u003cli\u003eImportant examples from the field of computer science presented as applications including the Halting problem, Shannon's mathematical model of information, regular expressions, XML, and Normal Forms in relational databases\u003c\/li\u003e \u003cli\u003eNumerous examples that are not often found in books on discrete mathematics including the deferred acceptance algorithm, the Boyer-Moore algorithm for pattern matching, Sierpinski curves, adaptive quadrature, the Josephus problem, and the five-color theorem\u003c\/li\u003e \u003cli\u003eExtensive appendices that outline supplemental material on analyzing claims and writing mathematics, along with solutions to selected chapter exercises\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eCombinatorics receives a full chapter treatment that extends beyond the combinations and permutations material by delving into non-standard topics such as Latin squares, finite projective planes, balanced incomplete block designs, coding theory, partitions, occupancy problems, Stirling numbers, Ramsey numbers, and systems of distinct representatives. A related Web site features animations and visualizations of combinatorial proofs that assist readers with comprehension. In addition, approximately 500 examples and over 2,800 exercises are presented throughout the book to motivate ideas and illustrate the proofs and conclusions of theorems.\u003c\/p\u003e \u003cp\u003eAssuming only a basic background in calculus, \u003ci\u003eDiscrete Mathematics with Proof, Second Edition\u003c\/i\u003e is an excellent book for mathematics and computer science courses at the undergraduate level. It is also a valuable resource for professionals in various technical fields who would like an introduction to discrete mathematics.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Eric Gossett\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0470457937\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780470457931\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Wiley\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/01\/2009\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 928\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 4.35lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 10.00h x 8.40w x 1.90d","brand":"Eric Gossett","offers":[{"title":"Hardcover","offer_id":47757475774719,"sku":"9780470457931","price":171.5,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_f5d09eda-a818-4ecb-80e4-e7f66eae91b2.jpg?v=1765510314","url":"https:\/\/www.whiterainbookhouse.com\/products\/discrete-mathematics-with-proof-eric-gossett-9780470457931","provider":"WR Book House","version":"1.0","type":"link"}