{"product_id":"9780470905883","title":"A First Course in Mathematical Logic and Set Theory","description":"\u003ch1\u003eA First Course in Mathematical Logic and Set Theory\u003c\/h1\u003e\u003ch3\u003eMichael L. O'Leary\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Logic\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003e\u003cb\u003eA mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eHighlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, \u003ci\u003eA First Course in Mathematical Logic and Set\u003c\/i\u003e \u003ci\u003eTheory \u003c\/i\u003eintroduces how logic is used to prepare and structure proofs and solve more complex problems.\u003c\/p\u003e \u003cp\u003eThe book begins with propositional logic, including two-column proofs and truth table applications, followed by first-order logic, which provides the structure for writing mathematical proofs. Set theory is then introduced and serves as the basis for defining relations, functions, numbers, mathematical induction, ordinals, and cardinals. The book concludes with a primer on basic model theory with applications to abstract algebra. \u003ci\u003eA First Course in Mathematical Logic and Set Theory \u003c\/i\u003ealso includes:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eSection exercises designed to show the interactions between topics and reinforce the presented ideas and concepts\u003c\/li\u003e \u003cli\u003eNumerous examples that illustrate theorems and employ basic concepts such as Euclid’s lemma, the Fibonacci sequence, and unique factorization\u003c\/li\u003e \u003cli\u003eCoverage of important theorems including the well-ordering theorem, completeness theorem, compactness theorem, as well as the theorems of Löwenheim–Skolem, Burali-Forti, Hartogs, Cantor–Schröder–Bernstein, and König\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eAn excellent textbook for students studying the foundations of mathematics and mathematical proofs, \u003ci\u003eA First Course in Mathematical Logic and Set Theory \u003c\/i\u003eis also appropriate for readers preparing for careers in mathematics education or computer science. In addition, the book is ideal for introductory courses on mathematical logic and\/or set theory and appropriate for upper-undergraduate transition courses with rigorous mathematical reasoning involving algebra, number theory, or analysis.\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e  \u003cp\u003e\u003cb\u003eMichael L. O'Leary, PhD,\u003c\/b\u003e is Professor of Mathematics at the College of DuPage in Glen Ellyn, Illinois. He received his doctoral degree in mathematics from the University of California, Irvine in 1994 and is the author of \u003ci\u003eRevolutions of Geometry\u003c\/i\u003e, also published by Wiley. \u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e08 September 2015\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9780470905883\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e464\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e26.4\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44378860454028,"sku":"9780470905883","price":119.65,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780470905883_f09635cb-67cd-4711-b0b5-d00158c920ee.jpg?v=1780178851","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780470905883","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}