Overview
A revised and updated version of a classic text
Brought back into print by demand from readers worldwide
Advanced topics in algebra are presented by one of the foremost algebraists in the UK
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
The first volume, "Basic Algebra", covers the important results of algebra; this companion volume focuses on the applications and covers the more advanced parts of topics such as:
- groups and algebras
- homological algebra
- universal algebra
- general ring theory
- representations of finite groups
- coding theory
- languages and automata
The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks.
Reviews
From the reviews of the second volume of the revised edition:
"The reader is treated to the spectacle of a very fine mathematician developing many diverse branches of algebra in a direct and illuminating manner. … this volume contains a gold-mine of algebraic nuggets, each developed in a direct and economical manner highlighting the most important results. It is an invaluable source and is to be strongly recommended." (Robert Curtis, The Mathematical Gazette, Vol. 88 (512), 2004)
"The author has spent much effort at including a plentiful supply of worked concrete examples and carefully selected exercises. … it is especially the wealth of specific, non-standard topics and important applications that makes this algebra text … highly unique and valuable. … the author manages to cover a vast spectrum of concepts, methods, principles, aspects, and applications of modern algebra in a masterly style. … This introductory algebra text remains one of the very best available, all the more … in this new edition." (Werner Kleinert, Zentralblatt MATH, 1006, 2003)
Authors and Affiliations
Bibliographic Information
Book Title: Further Algebra and Applications
Authors: P. M. Cohn
DOI: https://doi.org/10.1007/978-1-4471-0039-3
Publisher: Springer London
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eBook Packages: Springer Book Archive
Copyright Information: Professor P.M. Cohn 2003
Hardcover ISBN: 978-1-85233-667-7Published: 05 December 2002
Softcover ISBN: 978-1-4471-1120-7Published: 20 November 2012
eBook ISBN: 978-1-4471-0039-3Published: 27 June 2011
Edition Number: 1
Number of Pages: XI, 451
Additional Information: Originally published by Wiley and Sons, Inc., UK
Topics: Algebra, Field Theory and Polynomials, Order, Lattices, Ordered Algebraic Structures, Applications of Mathematics