Introduction to Abstract Algebra : Solutions Manual

W. Keith Nicholson

ISBN 10: 1118288157 / ISBN 13: 9781118288153

Published by Wiley & Sons, Wiley, 2012

About this Item

Neuware - Praise for the Third Edition'. . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . .'--Zentralblatt MATHThe 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:\* The treatment of nilpotent groups, including the Frattini and Fitting subgroups\* Symmetric polynomials\* The proof of the fundamental theorem of algebra using symmetric polynomials\* The proof of Wedderburn's theorem on finite division rings\* The proof of the Wedderburn-Artin theoremThroughout 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.

Seller Inventory # 9781118288153

Bibliographic Details

• Title: Introduction to Abstract Algebra : Solutions Manual
• Publisher: Wiley & Sons, Wiley
• Publication Date: 2012
• Language: English
• ISBN 10: 1118288157
• ISBN 13: 9781118288153
• Binding: Taschenbuch
• Edition: 4th Edition
• Condition: Neu

About this title

Synopsis

An indispensable companion to the book hailed an "expository masterpiece of the highest didactic value" by Zentralblatt MATH

This solutions manual helps readers test and reinforce the understanding of the principles and real-world applications of abstract algebra gained from their reading of the critically acclaimed Introduction to Abstract Algebra. Ideal for students, as well as engineers, computer scientists, and applied mathematicians interested in the subject, it provides a wealth of concrete examples of induction, number theory, integers modulo n, and permutations. Worked examples and real-world problems help ensure a complete understanding of the subject, regardless of a reader's background in mathematics.

About the Author

W. KEITH NICHOLSON, PhD, is Professor in the Department of Mathematics and Statistics at the University of Calgary, Canada. He has published extensively in his areas of research interest, which include clean rings, morphic rings and modules, and quasi-morphic rings.