Synopsis
This book blends the theoretical with the practical in the instruction of modern algebra. Modern algebra is usually taught from the point of view of its intrinsic interest, without using applications. Many readers lose interest when they do not see the relevance of the subject and often become skeptical of the explanation that the material will be used later. The author believes by providing interesting and nontrivial applications, the student will better appreciate and understand the subject.
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About the Author
WILLIAM J. GILBERT, PhD, is Professor in the Department of Pure Mathematics at the University of Waterloo, Ontario, Canada.
From the Back Cover
Blending the theoretical with the practical in the instruction of modern algebra
"There is no other book of comparable content available. Because of its detailed coverage of applications generally neglected in the literature, it is a desirable addition to undergraduate mathematics and computer science libraries."
Choice
Modern algebra guides are often structured from the point of view of the subject’s intrinsic interest, offering only vague promises of practical applications in later courses or more sophisticated texts. William Gilbert’s classic Modern Algebra with Applications, however, incorporates the applications of modern algebra throughout its authoritative treatment of the subject, not only effectively holding his readers’ interest but also creating a more seamless method of instruction.
The book covers the full complement of group, ring, and field theory typically contained in a standard modern algebra course. Numerous examples are included in each chapter, and answers to odd–numbered exercises are appended in the back. Chapter topics include: Boolean Algebras, Groups, Quotient Groups, Symmetry Groups in Three Dimensions, Polya–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.
Modern Algebra with Applications remains an ideal companion to upper undergraduate and graduate level algebra courses.
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