Abstract Algebra, 2nd Edition

Hardcover

ISBN 10: 0471368571 ISBN 13: 9780471368571

Publisher: Wiley, 1999

• Accessible to undergraduates yet its scope and depth also make it ideal for courses at the graduate level.
• Over 1500 exercises, many with multiple parts, ranging in scope from routine to fairly sophisticated, and ranging in purpose from basic application of text material to exploration of important theoretical or computational techniques.
• The structure of the book permits instructors and students to pursue certain areas from their beginnings to an in-depth treatment, or to survey a wider range of areas, seeing how various themes recur and how different structures are related.
• The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.
• Contains many topics not usually found in introductory texts. Students are able to see how these fit naturally into the main themes of algebra. Examples of these topics include:
• Rings of algebraic integers
• Semidirect products and the theory of extensions
• Criteria for Principal Ideal Domains
• Criteria for the solvability of a quintic
• Dedekind Domains

From the Back Cover:

Key Benefit: The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises throughout to aid the reader's understanding. Key Topics: This edition includes substantial new material in areas that include: tensor products, commutative rings, algebraic number theory and introductory algebraic geometry. Also, includes rings of algebraic integers, semidirect products and splitting of extensions, criteria for the solvability of a quintic, and Dedekind Domains.