Basic Algebra

Groups, Rings and Fields

P.M. Cohn

478 pages, parution le 18/11/2002

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Résumé

Basic Algebra is the first 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.

In this first volume, the author covers the important results of algebra; the companion volume, Further Algebra and Applications, brings more advanced topics and focuses on the applications. Readers should have some knowledge of linear algebra and have met groups and fields before, although all the essential facts and definitions are recalled. The coverage is comprehensive and includes topics such as:

Groups
lattices and categories
rings, modules and algebras
fields

The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks.

Contents

Sets
Groups
Lattices and Categories
Rings and Modules
Algebras
Multilinear Algebra
Field Theory
Quadratic Forms and Ordered Fields
Valuation Theory
Commutative Rings
Infinite Field Extensions

L'auteur - P.M. Cohn

University College London, UK

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	P.M. Cohn
Parution	18/11/2002
Nb. de pages	478
Format	16 x 24
Couverture	Relié
Poids	848g
Intérieur	Noir et Blanc
EAN13	9781852335878
ISBN13	978-1-85233-587-8