{"product_id":"9780471060260","title":"Logic of Mathematics A Modern Course of Classical Logic","description":"\u003ch3\u003ePure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts\u003c\/h3\u003e\u003ch1\u003eLogic of Mathematics\u003c\/h1\u003e\u003ch2\u003eA Modern Course of Classical Logic\u003c\/h2\u003e\u003ch3\u003eZofia Adamowicz | Pawel Zbierski\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Logic\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eA thorough, accessible, and rigorous presentation of the central theorems of mathematical logic . . . ideal for advanced students of mathematics, computer science, and logic\u003cbr\u003e \u003cbr\u003e Logic of Mathematics combines a full-scale introductory course in mathematical logic and model theory with a range of specially selected, more advanced theorems. Using a strict mathematical approach, this is the only book available that contains complete and precise proofs of all of these important theorems:\u003cbr\u003e * Gödel's theorems of completeness and incompleteness\u003cbr\u003e * The independence of Goodstein's theorem from Peano arithmetic\u003cbr\u003e * Tarski's theorem on real closed fields\u003cbr\u003e * Matiyasevich's theorem on diophantine formulas\u003cbr\u003e \u003cbr\u003e Logic of Mathematics also features:\u003cbr\u003e * Full coverage of model theoretical topics such as definability, compactness, ultraproducts, realization, and omission of types\u003cbr\u003e * Clear, concise explanations of all key concepts, from Boolean algebras to Skolem-Löwenheim constructions and other topics\u003cbr\u003e * Carefully chosen exercises for each chapter, plus helpful solution hints\u003cbr\u003e \u003cbr\u003e At last, here is a refreshingly clear, concise, and mathematically rigorous presentation of the basic concepts of mathematical logic-requiring only a standard familiarity with abstract algebra. Employing a strict mathematical approach that emphasizes relational structures over logical language, this carefully organized text is divided into two parts, which explain the essentials of the subject in specific and straightforward terms.\u003cbr\u003e \u003cbr\u003e Part I contains a thorough introduction to mathematical logic and model theory-including a full discussion of terms, formulas, and other fundamentals, plus detailed coverage of relational structures and Boolean algebras, Gödel's completeness theorem, models of Peano arithmetic, and much more.\u003cbr\u003e \u003cbr\u003e Part II focuses on a number of advanced theorems that are central to the field, such as Gödel's first and second theorems of incompleteness, the independence proof of Goodstein's theorem from Peano arithmetic, Tarski's theorem on real closed fields, and others. No other text contains complete and precise proofs of all of these theorems.\u003cbr\u003e \u003cbr\u003e With a solid and comprehensive program of exercises and selected solution hints, Logic of Mathematics is ideal for classroom use-the perfect textbook for advanced students of mathematics, computer science, and logic.\u003c\/div\u003e\u003cdiv\u003e ZOFIA ADAMOWICZ, PhD, is a professor at the Institute of Mathematics of the Polish Academy of Sciences in Warsaw.\u003cbr\u003e \u003cbr\u003e PAWEL ZBIERSKI, PhD, is a professor at the Department of Mathematics at Warsaw University and the coauthor of Hausdorff Gaps and Limits.\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e01 April 1997\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-Interscience\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9780471060260\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\u003e272\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e16.64\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44380481912972,"sku":"9780471060260","price":196.16,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780471060260.jpg?v=1780237278","url":"https:\/\/lateknightbooks.com\/products\/9780471060260","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}