Includes bibliographical references (pages 306-308) and index
CONTENTS NOTE
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Boolean Algebras -- Groups -- Quotient Groups -- Symmetry Groups in Three Dimensions -- Pólya-Burnside Method of Enumeration -- Monoids and Machines -- Rings and Fields -- Polynomial and Euclidean Rings -- Quotient Rings -- Field Extensions -- Latin Squares -- Geometrical Constructions -- Error-Correcting Codes -- Appendix 1: Proofs -- Appendix 2: Integers
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SUMMARY OR ABSTRACT
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As a cornerstone of mathematical science, the importance of modern algebra and discrete structures to many areas of science and technology is apparent and growing with extensive use_in computing science, physics, chemistry, and data communications as well as in new areas of mathematics such as combinatorics._ This book contains the essentials of abstract (or modern) algebra together with a wide variety of applications._