{"product_id":"a-first-course-in-abstract-algebra-9780131862678","title":"A First Course in Abstract Algebra","description":"\u003cp\u003e • Author(s): Joseph Rotman\u003cbr\u003e • Publisher: Pearson\u003cbr\u003e • Publisher Imprint: Pearson\u003cbr\u003e • BISAC: Algebra - General\u003c\/p\u003e\u003cp\u003e\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.\u003c\/p\u003e  \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.","brand":"Pearson","offers":[{"title":"Paperback","offer_id":46892326355095,"sku":"9780131862678","price":19955.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780131862678.webp?v=1770280559","url":"https:\/\/atlanticbooks.com\/products\/a-first-course-in-abstract-algebra-9780131862678","provider":"Atlantic Books","version":"1.0","type":"link"}