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Classic Algebra

ISBN: 978-0-471-87731-8
444 pages
December 2000
Classic Algebra (047187731X) cover image
Fundamental to all areas of mathematics, algebra provides the cornerstone for the student's development. The concepts are often intuitive, but some can take years of study to fully absorb. For over twenty years, the author's classic three-volume set, Algebra, has been regarded by many as the most outstanding introductory work available. This work, Classic Algebra, combines a fully updated Volume 1 with the essential topics from Volumes 2 and 3, and provides a self-contained introduction to the subject.
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Sets and Mappings.

Integers and Rational Numbers.

Groups.

Vector Spaces and Linear Mappings.

Linear Equations.

Rings and Fields.

Determinants.

Quadratic Forms.

Further Group Theory.

Rings and Modules.

Normal Forms for Matrices.

Appendices.

Solutions to the Exercises.

Further Reading.

Some Frequently Used Notations.

Index.
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  • Complete and rigorous coverage of the important basic concepts
  • Topics covered include sets, mappings, groups, matrices, vector spaces, fields, rings and modules
  • Written in a lucid style, with each concept carefully explained
  • Introduces more advanced topics and suggestions for further reading
  • Contains over 800 exercises, including many solutions
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"This book provides an excellent choice for those studying a first course in algebra ...." (Zentralblatt Math, April 2001)

"It's coverage of algebra is impressively wide" (Times Higher Education Supplement - Textbook Guide, 30 November 2001)

"This text combines parts of Cohn s tree-volume set...into one volume suitable for undergraduate work and self-study." (SciTech Book News, Vol. 25, No. 4, December 2001)
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