Modern Algebra with Applications, Second Edition

Description

• Author: William J. Gilbert, W. Keith Nicholson

Blending the theoretical with the practical in the instruction of modern algebra, Modern Algebra with Applications, Second Edition provides interesting and important applications of this subject-effectively holding your interest and creating a more seamless method of instruction. Filled with in-depth insights and over six hundred exercises of varying difficulty, this invaluable text can help anyone appreciate and understand this subject.



Review

":an ideal starter into algebra for all kinds of students, and a very useful addition to existing textbooks:" (Zentralblatt Math, Vol.1050, 2005)



CONTENTS



Preface to the First Edition

Preface to the Second Edition

List of Symbols

1 Introduction

2 Boolean Algebras

3 Groups

4 Quotient Groups

5 Symmetry Groups in Three Dimensions

6 Polya-Burnside Method of Enumeration

7 Monoids and Machines

8 Rings and Fields

9 Polynomial and Euclidean Rings

10 Quotient Rings

11 Field Extensions

12 Latin Squares

13 Geometrical Constructions

14 Error-Correcting Codes

Appendix 1: Proofs

Appendix 2: Integers

Bibliography and References

Answers to Odd-Numbered Exercises

Index

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