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Algebra A Graduate Course

ISBN-10: 0534190022

ISBN-13: 9780534190026

Edition: 1994

Authors: I. Martin Isaacs

List price: $215.95
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Description:

Isaacs' love for algebra and his more than 25 years of teaching experience in mathematics is evident throughout the book. In order to draw students into the material, Isaacs offers numerous examples and exercises and he seldom teaches a definition unless it leads to some interesting or exciting theorem. A number of specialized topics are included, so professors may design a course that is compatible with their own tastes. Students using this book should have knowledge of the basic ideas of group theory, ring theory, and field theory. They should know elementary linear algebra and matrix theory and they should be comfortable with mathematical proofs (how to read them, invent them, and write them).
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Book details

List price: $215.95
Copyright year: 1994
Publisher: Brooks/Cole
Publication date: 11/15/1993
Binding: Hardcover
Pages: 528
Size: 6.75" wide x 9.75" long x 1.00" tall
Weight: 1.694
Language: English

Noncommutative Algebra
Definitions and Examples of Groups
Subgroups and Cosets
Homomorphisms
Group Actions
The Sylow Theorems and p-groups
Permutation Groups
New Groups from Old
Solvable and Nilpotent Groups
Transfer
Operator Groups and Unique Decompositions
Module Theory without Rings
Rings, Ideals, and Modules
Simple Modules and Primitive Rings
Artinian Rings and Projective Modules
An Introduction to Character Theory
Commutative Algebra
Polynomial Rings, PIDs, and UFDs
Field Extensions
Galois Theory
Separability and Inseparability
Cyclotomy and Geometric Constructions
Finite Fields
Roots, Radicals, and Real Numbers
Norms, Traces, and Discriminants
Transcendental Extensions
The Artin-Schreier Theorem
Ideal Theory
Noetherian Rings
Integrality
Dedekind Domains
Algebraic Sets and the Nullstellensatz
Index