A First Course In Abstract Algebra - Couverture souple

Rotman, Joseph

Couverture souple

ISBN 10 : 0131862677 ISBN 13 : 9780131862678

Editeur : Pearson, 2005

Synopsis

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.

A propos du livre

Présentation de l'éditeur

This text introduces students to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each.

Détails de l'édition

• Éditeur: Pearson
• Date d'édition: 2005
• Langue: anglais
• ISBN 10: 0131862677
• ISBN 13: 9780131862678
• Reliure: Broché
• Numéro d'édition: 3
• Nombre de pages: 640
• Coordonnées du fabricant: non disponible
• Personne responsable: Riccardo Bacigalupo; riccardo.bacigalupo@sanoma.it; ; Sanoma Italia Via Arconati, 1 �; Milano; 20135; Italie