| A First Course in Abstract Algebra Contributor(s): Rotman, Joseph (Author) |
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ISBN: 0131862677 ISBN-13: 9780131862678 Publisher: Pearson OUR PRICE: $151.99 Product Type: Paperback Published: September 2005 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General |
| Dewey: 512.02 |
| LCCN: 2005053492 |
| Physical Information: 1.11" H x 7.14" W x 9.58" (2.45 lbs) 640 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |