{"product_id":"9780131862678","title":"First Course in Abstract Algebra, A","description":" 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.  KEY TOPICS:  Number Theory: Induction; Binomial Coefficients; Greatest Common Divisors; The Fundamental Theorem of Arithmetic    Congruences; Dates and Days. Groups I: Some Set Theory; Permutations; Groups; Subgroups and Lagrange's Theorem; Homomorphisms; Quotient Groups; Group Actions; Counting with Groups. Commutative Rings I: First Properties; Fields; Polynomials; Homomorphisms; Greatest Common Divisors; Unique Factorization; Irreducibility; Quotient Rings and Finite Fields; Officers, Magic, Fertilizer, and Horizons. Linear Algebra: Vector Spaces; Euclidean Constructions; Linear Transformations; Determinants; Codes; Canonical Forms. Fields: Classical Formulas; Insolvability of the General Quintic; Epilog. Groups II: Finite Abelian Groups; The Sylow Theorems; Ornamental Symmetry. Commutative Rings III: Prime Ideals and Maximal Ideals; Unique Factorization; Noetherian Rings; Varieties; Grobner Bases.   MARKET:  For all readers interested in abstract algebra.","brand":"Joseph Rotman","offers":[{"title":"Default Title","offer_id":45724925559102,"sku":"9780131862678","price":5100.0,"currency_code":"ZAR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4357\/7662\/products\/9780131862678_24fa605a-323f-4ee3-8cb7-c1e3c87df8d2.jpg?v=1707217456","url":"https:\/\/exclusivebooks.co.za\/products\/9780131862678","provider":"Exclusive Books Online","version":"1.0","type":"link"}