{"product_id":"a-first-course-in-abstract-john-b-fraleigh-9780201763904","title":"A First Course in Abstract Algebra","description":"\u003cb\u003e\u003c\/b\u003e Considered a classic by many, \u003cb\u003eA First Course in Abstract Algebra, Seventh Edition\u003c\/b\u003e is an in-depth introduction to abstract algebra. Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures.  \u003cb\u003eKEY TOPICS: \u003c\/b\u003e Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gr bner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra  \u003cb\u003eMARKET: \u003c\/b\u003e For all readers interested in abstract algebra.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e John Fraleigh\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0201763907\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780201763904\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Pearson\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/01\/2002\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 544\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.90lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.30h x 7.70w x 0.90d","brand":"John Fraleigh","offers":[{"title":"Hardcover","offer_id":43913411264767,"sku":"9780201763904","price":219.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_7da53902-efd9-4837-b43f-da47273e8a3a.jpg?v=1680620270","url":"https:\/\/www.whiterainbookhouse.com\/products\/a-first-course-in-abstract-john-b-fraleigh-9780201763904","provider":"WR Book House","version":"1.0","type":"link"}