Modern Algebra with Applications
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- Wiley
More About This Title Modern Algebra with Applications
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WILLIAM J. GILBERT, PhD, is Professor in the Department of Pure Mathematics at the University of Waterloo, Ontario, Canada.
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English
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.
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“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)