Introduction to Abstract Algebra, 4e Set - Hardcover

Nicholson, W. Keith

Hardcover

ISBN 10: 1118296036 ISBN 13: 9781118296035

Publisher: Wiley, 2012

Synopsis

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: * 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 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.

About this title

Review

"This could also be an excellent adjunct to more theoretically oriented textbooks used in more intensive courses." (Computing Reviews, 5 November 2012)

From the Back Cover

Arthur Tansley turned the old plant geography into the new science of ecology, teaching botanists to look at vegetation, rather than individual plant species. He recognised that vegetation is continually changing and how, especially in the British islands, it is influenced by man's activities.  Safeguarding wild places from the continuing pressures of agriculture and industry would demand, he argued, not sterile preservation but active conservation within nature reserves, places where the principles of ecology could be applied to the scientific management of plants and animals.

Author of a best-selling book on psychology, and a respected philosopher, Tansley was no mere academic. He used his authority and political skills to achieve practical results, such as the foundation of the Nature Conservancy, of which he was the first Chairman.  In the ecological principles he laid out, most notably the ecosystem, he left an invaluable legacy for ecologists and conservationists worldwide.

Edition details

• Publisher: Wiley
• Publication date: 2012
• ISBN 10: 1118296036
• ISBN 13: 9781118296035
• Binding: Hardcover
• Language: English
• Edition number: 4
• Number of pages: 158