Basic Algebra 2nd Edition by Anthony W Knapp ISBN 9781429799980

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Product details: 

ISBN 13:  9781429799980

Author: Anthony W. Knapp

 Basic Algebra and its companion volume Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. These two books together aim to give the reader a global view of algebra, its use, and its role in mathematics as a whole. The idea is to explain what the young mathematician needs to know about algebra in order to communicate well with colleagues in all branches of mathematics. The books are written as textbooks, and their primary audience is students who are learning the material for the first time and who are planning a career in which they will use advanced mathematics professionally.

Table of contents: 

1. Preliminaries about the Integers, Polynomials, and Matrices

2. Vector Spaces over Q, R, and C

3. Inner-Product Spaces

4. Groups and Group Actions

5. Theory of a Single Linear Transformation

6. Multilinear Algebra

7. Advanced Group Theory

8. Commutative Rings and Their Modules

9. Fields and Galois Theory

10. Modules over Noncommutative Rings

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Tags: Anthony W Knapp, Basic Algebra