Basic algebra : groups, rings, and fields / by P.M. Cohn.

By: Cohn, P. M. (Paul Moritz)Material type: TextTextPublication details: London : Springer, c2005Description: xii, 465 p. : ill. ; 25 cmISBN: 9781447110606 (pbk)Subject(s): AlgebraDDC classification: 512
Contents:
1. Sets -- 2. Groups -- 3. Lattices and categories -- 4. Rings and modules -- 5. Algebras -- 6. Multilinear algebra -- 7. Field theory -- 8. Quadratic forms and ordered fields -- 9. Valuation theory -- 10. Commutative rings -- 11. Infinite field extensions.
Summary: 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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Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
Books Books Namal Library
Mathematics 		512 COH-B 2005 10599 (Browse shelf (Opens below)) 1 Available 0010599
Total holds: 0

Includes bibliographical references (p. 449-451) and indexes.

1. Sets --
2. Groups --
3. Lattices and categories --
4. Rings and modules --
5. Algebras --
6. Multilinear algebra --
7. Field theory --
8. Quadratic forms and ordered fields --
9. Valuation theory --
10. Commutative rings --
11. Infinite field extensions.

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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