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Introduction to Algebra

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ISBN-10: 0198569130

ISBN-13: 9780198569138

Edition: 2nd 2007

Authors: Peter J. Cameron

List price: $195.00
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Description:

This edition includes new material on updated and comprehensive introductory chapters, new material on axiom of choice, p-groups and local rings, discussion of theory and applications, and over 300 exercises.
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Book details

List price: $195.00
Edition: 2nd
Copyright year: 2007
Publisher: Oxford University Press, Incorporated
Publication date: 2/9/2008
Binding: Hardcover
Pages: 354
Size: 6.30" wide x 9.53" long x 0.91" tall
Weight: 1.430
Language: English

Introduction
What is mathematics?
Numbers
Elementary algebra
Sets
Modular Arithmetic
Matrices
Logic
Rings
Rings and subrings
Homomorphisms and ideals
Factorisation
Fields
Miscellany
Groups
Groups and subgroups
Subgroups and cosets
Homomorphisms and normal subgroups
Some special groups
How many groups?
Vector spaces
Vector spaces and subspaces
Linear transformations and matrices
Modules
Introduction
Modules over a Euclidean domain
Applications
The number systems
To the complex numbers
Algebraic and transcendental numbers
More about sets
Further topics
Further group theory
Further ring theory
Further field theory
Other structures
Applications
Coding theory
Galois Theory
Further reading
Index