Modern Algebra

An Introduction

John R. Durbin

368 pages, parution le 22/09/2004 (5^eme édition)

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Résumé

This text is appropriate for any one-semester junior/senior level course in Modern Algebra, Abstract Algebra, Algebraic Structures, or Groups, Rings and Fields. Durbin has two main goals: to introduce the most important kinds of algebraic structures, and to help students improve their ability to understand and work with abstract ideas. The first six chapters present the core of the subject; the remainder are designed to be as flexible as possible. Durbin covers groups before rings, which is a matter of personal preference for instructors. The course is mostly comprised of mathematics majors, but you will find engineering and computer science majors as well.

Sommaire

Mappings and Operations
Introduction to Groups
Equivalence. Congruence. Divisibility
Groups
Group Homomorphisms
Introduction to Rings
The Familiar Number Systems
Polynomials
Quotient Rings
Field Extensions
Galois Theory
Geometric Constructions
Applications of Permutation Groups
Symmetry
Cryptography and Algebraic Coding
Lattices and Boolean Algebras
Sets
Proofs
Mathematical Induction
Linear Algebra
Solutions to Selected Problems

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	PAPIER
Éditeur(s)	Wiley
Auteur(s)	John R. Durbin
Parution	22/09/2004
Édition	5^eme édition
Nb. de pages	368
Format	18 x 26
Couverture	Relié
Poids	772g
Intérieur	Noir et Blanc
EAN13	9780471433354
ISBN13	978-0-471-43335-4