{"product_id":"elements-of-set-theory-hardback-9780122384400","title":"Elements of Set Theory (Hardback) 9780122384400","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eElements of Set Theory\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eHerbert B. Enderton (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780122384400, Elsevier Science\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 23 May 1977\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e296 pages\u003cbr\u003e22.9 x 15.1 x 2.3 cm, 0.53 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eContents\u003cbr\u003ePreface \u003cbr\u003eList of Symbols \u003cbr\u003eChapter 1 Introduction \u003cbr\u003e     Baby Set Theory \u003cbr\u003e     Sets—An Informal View\u003cbr\u003e     Classes\u003cbr\u003e     Axiomatic Method \u003cbr\u003e     Notation \u003cbr\u003e     Historical Notes \u003cbr\u003eChapter 2 Axioms and Operations\u003cbr\u003e     Axioms \u003cbr\u003e     Arbitrary Unions and Intersections \u003cbr\u003e     Algebra of Sets \u003cbr\u003e     Epilogue \u003cbr\u003e     Review Exercises \u003cbr\u003eChapter 3 Relations and Functions\u003cbr\u003e     Ordered Pairs\u003cbr\u003e     Relations \u003cbr\u003e     n-Ary Relations \u003cbr\u003e     Functions \u003cbr\u003e     Infinite Cartesian Products\u003cbr\u003e     Equivalence Relations \u003cbr\u003e     Ordering Relations \u003cbr\u003e     Review Exercises \u003cbr\u003eChapter 4 Natural Numbers \u003cbr\u003e     Inductive Sets \u003cbr\u003e     Peano's Postulates \u003cbr\u003e     Recursion on ? \u003cbr\u003e     Arithmetic \u003cbr\u003e     Ordering on ?\u003cbr\u003e     Review Exercises \u003cbr\u003eChapter 5 Construction of the Real Numbers\u003cbr\u003e     Integers \u003cbr\u003e     Rational Numbers \u003cbr\u003e     Real Numbers \u003cbr\u003e     Summaries \u003cbr\u003e     Two \u003cbr\u003eChapter 6 Cardinal Numbers and the Axiom of Choice\u003cbr\u003e     Equinumerosity \u003cbr\u003e     Finite Sets \u003cbr\u003e     Cardinal Arithmetic \u003cbr\u003e     Ordering Cardinal Numbers \u003cbr\u003e     Axiom of Choice \u003cbr\u003e     Countable Sets \u003cbr\u003e     Arithmetic of Infinite Cardinals \u003cbr\u003e     Continuum Hypothesis \u003cbr\u003eChapter 7 Orderings and Ordinals\u003cbr\u003e     Partial Orderings \u003cbr\u003e     Well Orderings \u003cbr\u003e     Replacement Axioms \u003cbr\u003e     Epsilon-Images \u003cbr\u003e     Isomorphisms \u003cbr\u003e     Ordinal Numbers \u003cbr\u003e     Debts Paid \u003cbr\u003e     Rank \u003cbr\u003eChapter 8 Ordinals and Order Types\u003cbr\u003e     Transfinite Recursion Again \u003cbr\u003e     Alephs \u003cbr\u003e     Ordinal Operations \u003cbr\u003e     Isomorphism Types \u003cbr\u003e     Arithmetic of Order Types \u003cbr\u003e     Ordinal Arithmetic \u003cbr\u003eChapter 9 Special Topics\u003cbr\u003e     Well-Founded Relations\u003cbr\u003e     Natural Models \u003cbr\u003e     Cofinality \u003cbr\u003eAppendix Notation, Logic, and Proofs \u003cbr\u003eSelected References for Further Study\u003cbr\u003eList of Axioms\u003cbr\u003eIndex\u003cbr\u003e\u003cbr\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Set theory [\u003ca title=\"See our other books on Set theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Set%20theory%20%5BPBCH%5D%22\"\u003ePBCH\u003c\/a\u003e], Mathematical logic [\u003ca title=\"See our other books on Mathematical logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20logic%20%5BPBCD%5D%22\"\u003ePBCD\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Academic Press","offers":[{"title":"Default Title","offer_id":46648082825496,"sku":"9780122384400","price":46.69,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780122384400_f4afb8fe-e455-42ca-ade4-851acce2bbda.jpg?v=1695006725","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/elements-of-set-theory-hardback-9780122384400","provider":"Freshly Printed Books","version":"1.0","type":"link"}