Introduction to Abstract Algebra Hardback - 2012 - 4th Edition
by W. Keith Nicholson
- New
- Hardcover
Description
Standard delivery: 14 to 21 days
Details
- Title Introduction to Abstract Algebra
- Author W. Keith Nicholson
- Binding Hardback
- Edition number 4th
- Edition 4
- Condition New
- Pages 560
- Volumes 1
- Language ENG
- Publisher John Wiley & Sons
- Date 2012-03-20
- Features Bibliography, Index, Table of Contents
- Bookseller's Inventory # A9781118135358
- ISBN 9781118135358 / 1118135350
- Weight 2.35 lbs (1.07 kg)
- Dimensions 10.1 x 7.1 x 1.3 in (25.65 x 18.03 x 3.30 cm)
- Library of Congress subjects Algebra, Abstract
- Library of Congress Catalog Number 2011031416
- Dewey Decimal Code 512.02
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From the rear cover
Praise for the Third Edition
". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."--Zentralblatt MATH
The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in the text.
The Fourth Edition features important concepts as well as specialized topics, including:
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The treatment of nilpotent groups, including the Frattini and Fitting subgroups
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Symmetric polynomials
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The proof of the fundamental theorem of algebra using symmetric polynomials
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The proof of Wedderburn's theorem on finite division rings
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The proof of the Wedderburn-Artin theorem
Throughout the book, worked examples and real-world problems illustrate concepts and their applications, facilitating a complete understanding for readers regardless of their background in mathematics. A wealth of computational and theoretical exercises, ranging from basic to complex, allows readers to test their comprehension of the material. In addition, detailed historical notes and biographies of mathematicians provide context for and illuminate the discussion of key topics. A solutions manual is also available for readers who would like access to partial solutions to the book's exercises.
Introduction to Abstract Algebra, Fourth Edition is an excellent book for courses on the topic at the upper-undergraduate and beginning-graduate levels. The book also serves as a valuable reference and self-study tool for practitioners in the fields of engineering, computer science, and applied mathematics.
