Introduction to Abstract Algebra

by W. Keith Nicholson

This Third Edition of the acclaimed self-study text lets you learn abstract algebra at your own pace The Third Edition of Introduction to Abstract Algebra continues to provide an accessible introduction to the basic structures of abstract groups, rings, and fields.The text's unique approach 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. As in the previous editions, the Third Edition offers many special features to help readers learn and apply their developing knowledge of abstract This Third Edition includes thoroughly revised chapters and much new material, including new sections covering free, semisimple, and projective modules; modules over principal ideal domains; as well as semidirect products and the Wedderburn-Artin theorem. Two new appendices have been added on Zorn's lemma and the proof of the recursion theorem. Numerous worked examples, exercises, and real-world applications make this text perfect for upper-level undergraduate and graduate courses. Moreover, with this book's self-contained chapters, students can learn at their own pace, and instructors can adapt the text to meet a variety of course objectives.

Genres: Textbooks, Mathematics

511 pages, Hardcover

First published January 15, 1998