{"product_id":"a-first-course-in-abstract-joseph-rotman-9780131862678","title":"A First Course in Abstract Algebra","description":"\u003cb\u003e\u003c\/b\u003e This text introduces readers to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each.  \u003cb\u003eKEY TOPICS: \u003c\/b\u003e \u003cb\u003eNumber Theory: \u003c\/b\u003eInduction; Binomial Coefficients; Greatest Common Divisors; The Fundamental Theorem of Arithmetic  \u003cb\u003e \u003c\/b\u003e Congruences; Dates and Days. \u003cb\u003eGroups I: \u003c\/b\u003eSome Set Theory; Permutations; Groups; Subgroups and Lagrange's Theorem; Homomorphisms; Quotient Groups; Group Actions; Counting with Groups. \u003cb\u003eCommutative Rings I: \u003c\/b\u003eFirst Properties; Fields; Polynomials; Homomorphisms; Greatest Common Divisors; Unique Factorization; Irreducibility; Quotient Rings and Finite Fields; Officers, Magic, Fertilizer, and Horizons. \u003cb\u003eLinear Algebra: \u003c\/b\u003eVector Spaces; Euclidean Constructions; Linear Transformations; Determinants; Codes; Canonical Forms. \u003cb\u003eFields: \u003c\/b\u003eClassical Formulas; Insolvability of the General Quintic; Epilog. \u003cb\u003eGroups II: \u003c\/b\u003eFinite Abelian Groups; The Sylow Theorems; Ornamental Symmetry. \u003cb\u003eCommutative Rings III: \u003c\/b\u003ePrime Ideals and Maximal Ideals; Unique Factorization; Noetherian Rings; Varieties; Grobner Bases.   \u003cb\u003eMARKET: \u003c\/b\u003e For all readers interested in abstract algebra.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Joseph Rotman\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0131862677\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780131862678\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Pearson\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/28\/2005\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 640\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.45lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.58h x 7.14w x 1.11d","brand":"Joseph Rotman","offers":[{"title":"Paperback","offer_id":48112850075903,"sku":"9780131862678","price":173.32,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_df5ebcae-250e-4c39-af8a-4ad80790beb7.jpg?v=1769611361","url":"https:\/\/www.whiterainbookhouse.com\/products\/a-first-course-in-abstract-joseph-rotman-9780131862678","provider":"WR Book House","version":"1.0","type":"link"}