Basic Algebra
Subtitle: Groups, Rings and Fields
By: by P. M. Cohn
Publisher: Springer London
Published: 2003
Place of publication: London
Language: eng
Format: [electronic resource] :
Number of pages: 465
ISBN-13: 9781447110606; 9780857294289
Subjects: Group theory; Mathematics; Algebra
Description: 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.
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Table of contents: title: Preface; title: Conventions on Terminology; title: Sets; title: Groups; title: Lattices and Categories; title: Rings and Modules; title: Algebras; title: Multilinear Algebra; title: Field Theory; title: Quadratic Forms and Ordered Fields; title: Valuation Theory; title: Commutative Rings; title: Infinite Field Extensions; title: Bibliography; title: List of Notations; title: Author Index; title: Subject Index.