{"product_id":"a-book-of-abstract-algebra-second-edition","title":"A Book of Abstract Algebra: Second Edition","description":"\n\u003ctable align=\"center\" border=\"0\" cellpadding=\"2\" cellspacing=\"0\" width=\"100%\"\u003e\n\u003ctr\u003e\n\u003ctd class=\"productDetailSmallElements\"\u003e\n\u003cp\u003e\n\u003cstrong\u003eBrief Description\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tOriginally published: 2nd ed. New York: McGraw-Hill, 1990.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eMarc Notes\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tOriginally published: 2nd ed. New York: McGraw-Hill, 1990.;Includes bibliographical references and index.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eBiographical Note\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tCharles C. Pinter is Professor Emeritus of Mathematics at Bucknell University.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eTable of Contents\u003c\/strong\u003e:\u003cbr\u003e\n\u003cb\u003eChapter 1\u003c\/b\u003e Why Abstract Algebra \n\u003cb\u003eChapter 2\u003c\/b\u003e Operations \n\u003cb\u003eChapter 3\u003c\/b\u003e The Definition of Groups \n\u003cb\u003eChapter 4\u003c\/b\u003e Elementary Properties of Groups \n\u003cb\u003eChapter 5\u003c\/b\u003e Subgroups \n\u003cb\u003eChapter 6\u003c\/b\u003e Functions \n\u003cb\u003eChapter 7\u003c\/b\u003e Groups of Permutations \n\u003cb\u003eChapter 8\u003c\/b\u003e Permutations of a Finite Set \n\u003cb\u003eChapter 9\u003c\/b\u003e Isomorphism \n\u003cb\u003eChapter 10\u003c\/b\u003e Order of Group Elements \n\u003cb\u003eChapter 11\u003c\/b\u003e Cyclic Groups \n\u003cb\u003eChapter 12\u003c\/b\u003e Partitions and Equivalence Relations \n\u003cb\u003eChapter 13\u003c\/b\u003e Counting Cosets \n\u003cb\u003eChapter 14\u003c\/b\u003e Homomorphism \n\u003cb\u003eChapter 15\u003c\/b\u003e Quotient Groups \n\u003cb\u003eChapter 16\u003c\/b\u003e The Fundamental Homomorphism Theorem \n\u003cb\u003eChapter 17\u003c\/b\u003e Rings: Definitions and Elementary Properties \n\u003cb\u003eChapter 18\u003c\/b\u003e Ideals and Homomorphism \n\u003cb\u003eChapter 19\u003c\/b\u003e Quotient Rings \n\u003cb\u003eChapter 20\u003c\/b\u003e Integral Domains \n\u003cb\u003eChapter 21\u003c\/b\u003e The Integers \n\u003cb\u003eChapter 22\u003c\/b\u003e Factoring into Primes \n\u003cb\u003eChapter 23\u003c\/b\u003e Elements of Number Theiory (Optional) \n\u003cb\u003eChapter 24\u003c\/b\u003e Rings of Polynomials \n\u003cb\u003eChapter 25\u003c\/b\u003e Factoring Polynomials \n\u003cb\u003eChapter 26\u003c\/b\u003e Substitution in Polynomials \n\u003cb\u003eChapter 27\u003c\/b\u003e Extensions of Fields \n\u003cb\u003eChapter 28\u003c\/b\u003e Vector Spaces \n\u003cb\u003eChapter 29\u003c\/b\u003e Degrees of Field Extensions \n\u003cb\u003eChapter 30\u003c\/b\u003e Ruler and Compass \n\u003cb\u003eChapter 31\u003c\/b\u003e Galois Theory: Preamble \n\u003cb\u003eChapter 32\u003c\/b\u003e Galois Theory: The Heart of the Matter \n\u003cb\u003eChapter 33\u003c\/b\u003e Solving Equations by Radicals \n\u003cb\u003eAppendix A\u003c\/b\u003e Review of Set Theory \n\u003cb\u003eAppendix B\u003c\/b\u003e Review of the Integers \n\u003cb\u003eAppendix C\u003c\/b\u003e Review of Mathematical Integers Answers to Selected Exercises Index\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003ePublisher Marketing\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tAccessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. \n\u003cbr\u003eAn introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.\u003cbr\u003e\u003cbr\u003e\n\u003c\/p\u003e\n\u003cbr\u003e\n\u003cbr\u003e\n\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":46431133991043,"sku":"SPTM-9780486474175","price":30.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0564\/6830\/8099\/files\/9780486474175_spiral.png?v=1769660044","url":"https:\/\/sebink.com\/products\/a-book-of-abstract-algebra-second-edition","provider":"Sebink","version":"1.0","type":"link"}