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Further Algebra and Applications de Paul M. Cohn

Further Algebra and Applications

Autor Paul M. Cohn
en Limba Engleză Paperback – 20 noi 2012
Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic three-volume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students.
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.
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Specificații

ISBN-13: 9781447111207
ISBN-10: 1447111206
Pagini: 468
Ilustrații: XI, 451 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.65 kg
Ediția:Softcover reprint of the original 1st ed. 2003
Editura: SPRINGER LONDON
Colecția Springer
Locul publicării:London, United Kingdom

Public țintă

Research

Cuprins

1. Universal algebra.- 2. Homological algebra.- 3. Further group theory.- 4. Algebras.- 5. Central simple algebras.- 6. Representation theory of finite groups.- 7. Noetherian rings and polynomial identities.- 8. Rings without finiteness assumptions.- 9. Skew fields.- 10. Coding theory.- 11. Languages and automata.- List of Notations.- Author Index.

Recenzii

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)

Caracteristici

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