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A First Course in Abstract Algebra
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ISBN10: 0131862677
ISBN13: 9780131862678
Publisher: Pearson
Published: Sep 28 2005
Pages: 640
Weight: 2.45
Height: 1.11 Width: 7.14 Depth: 9.58
Language: English
ISBN13: 9780131862678
Publisher: Pearson
Published: Sep 28 2005
Pages: 640
Weight: 2.45
Height: 1.11 Width: 7.14 Depth: 9.58
Language: English
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.
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