First Course in Abstract Algebra, A (Paperback, 3rd edition)

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.

General

Imprint:	Pearson Education (Us)
Country of origin:	United States
Release date:	September 2005
First published:	2006
Authors:	Joseph Rotman
Dimensions:	231 x 178 x 32mm (L x W x T)
Format:	Paperback
Pages:	581
Edition:	3rd edition
ISBN-13:	978-0-13-186267-8
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Promotions
LSN:	0-13-186267-7
Barcode:	9780131862678

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