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Modern Algebra with Applications / Edition 2

Modern Algebra with Applications / Edition 2

by William J. Gilbert, W. Keith Nicholson


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Product Details

ISBN-13: 9780471414513
Publisher: Wiley
Publication date: 10/31/2003
Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Series , #52
Edition description: Revised
Pages: 352
Product dimensions: 6.50(w) x 9.50(h) x 0.80(d)

About the Author

WILLIAM J. GILBERT, DPHil, is a professor in the Department of Pure Mathematics at the University of Waterloo, Ontario, Canada. He received his DPhil in mathematics from Oxford University in 1968.

W. KEITH NICHOLSON, PHD, is a professor in the Department of Mathematics and Statistics at the University of Calgary, Alberta, Canada. He received his PhD in pure mathematics from the University of California at Santa Barbara in 1970.

Table of 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. Pólya–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 the Odd-Numbered Exercises.


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

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