Modern Algebra with Applications by William J. Gilbert

Modern Algebra with Applications

WILLIAM J. GILBERT, PhD, is Professor in the Department of Pure Mathematics at the University of Waterloo, Ontario, Canada.

Introduction.

Boolean Algebras.

Groups.

Quotient Groups.

Symmetry Groups in Three Dimensions.

Polya-Burnside Methods of Enumeration.

Monoids and Machines.

Rings and Fields.

Polynomial and Euclidean Rings.

Quotient Rings.

Field Extensions.

Latin Squares.

Geometrical Constructions.

Error-Correcting Codes.

Bibliography and References.

Answers to Odd-Numbered Exercises.

Glossary of Symbols.

Index.

“covers the basics in a clear and concise manner.” (The Mathematical Gazette, July 2004)

"...well written; notions, theorems, examples and most of the proofs are described in full detail and easy to read..." (Zentralblatt Math, 2004)

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