{"product_id":"solutions-manual-to-accompany-introduction-to-abstract-algebra-4e-paperback-softback-9781118288153","title":"Solutions Manual to accompany Introduction to Abstract Algebra, 4e (Paperback \/ softback) 9781118288153","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSolutions Manual to accompany Introduction to Abstract Algebra, 4e\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\"\u003eW. Keith Nicholson (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781118288153, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 29 May 2012\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e160 pages\u003cbr\u003e25.4 x 17.8 x 0.8 cm, 0.299 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e“This could also be an excellent adjunct to more theoretically oriented textbooks used in more intensive courses.”  (\u003ci\u003eComputing Reviews\u003c\/i\u003e, 5 November 2012)\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003cstrong\u003eAn indispensable companion to the book hailed an \"expository masterpiece of the highest didactic value\" by Zentralblatt MATH\u003c\/strong\u003e \u003c\/p\u003e\n\u003cp\u003eThis solutions manual helps readers test and reinforce the understanding of the principles and real-world applications of abstract algebra gained from their reading of the critically acclaimed Introduction to Abstract Algebra. Ideal for students, as well as engineers, computer scientists, and applied mathematicians interested in the subject, it provides a wealth of concrete examples of induction, number theory, integers modulo n, and permutations. Worked examples and real-world problems help ensure a complete understanding of the subject, regardless of a reader's background in mathematics.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003cb\u003e0 Preliminaries 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e0.1 Proofs 1\u003c\/p\u003e \u003cp\u003e0.2 Sets 2\u003c\/p\u003e \u003cp\u003e0.3 Mappings 3\u003c\/p\u003e \u003cp\u003e0.4 Equivalences 4\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Integers and Permutations 6\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Induction 6\u003c\/p\u003e \u003cp\u003e1.2 Divisors and Prime Factorization 8\u003c\/p\u003e \u003cp\u003e1.3 Integers Modulo n 11\u003c\/p\u003e \u003cp\u003e1.4 Permutations 13\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Groups 17\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Binary Operations 17\u003c\/p\u003e \u003cp\u003e2.2 Groups 19\u003c\/p\u003e \u003cp\u003e2.3 Subgroups 21\u003c\/p\u003e \u003cp\u003e2.4 Cyclic Groups and the Order of an Element 24\u003c\/p\u003e \u003cp\u003e2.5 Homomorphisms and Isomorphisms 28\u003c\/p\u003e \u003cp\u003e2.6 Cosets and Lagrange’s Theorem 30\u003c\/p\u003e \u003cp\u003e2.7 Groups of Motions and Symmetries 32\u003c\/p\u003e \u003cp\u003e2.8 Normal Subgroups 34\u003c\/p\u003e \u003cp\u003e2.9 Factor Groups 36\u003c\/p\u003e \u003cp\u003e2.10 The Isomorphism Theorem 38\u003c\/p\u003e \u003cp\u003e2.11 An Application to Binary Linear Codes 43\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Rings 47\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Examples and Basic Properties 47\u003c\/p\u003e \u003cp\u003e3.2 Integral Domains and Fields 52\u003c\/p\u003e \u003cp\u003e3.3 Ideals and Factor Rings 55\u003c\/p\u003e \u003cp\u003e3.4 Homomorphisms 59\u003c\/p\u003e \u003cp\u003e3.5 Ordered Integral Domains 62\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Polynomials 64\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Polynomials 64\u003c\/p\u003e \u003cp\u003e4.2 Factorization of Polynomials over a Field 67\u003c\/p\u003e \u003cp\u003e4.3 Factor Rings of Polynomials over a Field 70\u003c\/p\u003e \u003cp\u003e4.4 Partial Fractions 76\u003c\/p\u003e \u003cp\u003e4.5 Symmetric Polynomials 76\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Factorization in Integral Domains 81\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Irreducibles and Unique Factorization 81\u003c\/p\u003e \u003cp\u003e5.2 Principal Ideal Domains 84\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Fields 88\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Vector Spaces 88\u003c\/p\u003e \u003cp\u003e6.2 Algebraic Extensions 90\u003c\/p\u003e \u003cp\u003e6.3 Splitting Fields 94\u003c\/p\u003e \u003cp\u003e6.4 Finite Fields 96\u003c\/p\u003e \u003cp\u003e6.5 Geometric Constructions 98\u003c\/p\u003e \u003cp\u003e6.7 An Application to Cyclic and BCH Codes 99\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Modules over Principal Ideal Domains 102\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Modules 102\u003c\/p\u003e \u003cp\u003e7.2 Modules over a Principal Ideal Domain 105\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 p-Groups and the Sylow Theorems 108\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Products and Factors 108\u003c\/p\u003e \u003cp\u003e8.2 Cauchy’s Theorem 111\u003c\/p\u003e \u003cp\u003e8.3 Group Actions 114\u003c\/p\u003e \u003cp\u003e8.4 The Sylow Theorems 116\u003c\/p\u003e \u003cp\u003e8.5 Semidirect Products 118\u003c\/p\u003e \u003cp\u003e8.6 An Application to Combinatorics 119\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Series of Subgroups 122\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 The Jordan-Hölder Theorem 122\u003c\/p\u003e \u003cp\u003e9.2 Solvable Groups 124\u003c\/p\u003e \u003cp\u003e9.3 Nilpotent Groups 127\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Galois Theory 130\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Galois Groups and Separability 130\u003c\/p\u003e \u003cp\u003e10.2 The Main Theorem of Galois Theory 134\u003c\/p\u003e \u003cp\u003e10.3 Insolvability of Polynomials 138\u003c\/p\u003e \u003cp\u003e10.4 Cyclotomic Polynomials and Wedderburn’s Theorem 140\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Finiteness Conditions for Rings and Modules 142\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Wedderburn’s Theorem 142\u003c\/p\u003e \u003cp\u003e11.2 The Wedderburn-Artin Theorem 143\u003c\/p\u003e \u003cp\u003eAppendices 147\u003c\/p\u003e \u003cp\u003eAppendix A: Complex Numbers 147\u003c\/p\u003e \u003cp\u003eAppendix B: Matrix Arithmetic 148\u003c\/p\u003e \u003cp\u003eAppendix C: Zorn’s Lemma 149\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52417763574040,"sku":"9781118288153","price":25.79,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781118288153.jpg?v=1784507363","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/solutions-manual-to-accompany-introduction-to-abstract-algebra-4e-paperback-softback-9781118288153","provider":"Freshly Printed Books","version":"1.0","type":"link"}