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Inhaltsangabe
The aim of this textbook is to develop the basic properties of modules and to show their importance in the theory of linear algebra. It is intended to provide a self-contained course as well as to indicate how the theory may be developed in a number of more advanced directions. Throughout, numerous exercises will enable readers to consolidate their understanding. Prerequisites are few, being only a familiarity with the basic notions of rings, fields, and groups. The first 11 chapters provide a carefully graded introduction to the central results and applications of the theory of modules. Subsequent chapters deal with advanced linear algebra (including multilinear and tensor algebra) and tackle more advanced topics. These include the exterior product approach to the determinants of matrices, a module-theoretic approach to the structure of finitely generated Abelian groups, canonical forms, and normal transformations. This edition has been revised to accommodate many suggestions to ensure its suitability for undergraduate courses. One advanced topic now covered is a proof of the celebrated Wedderburn-Artin theorem which determines the structure of simple Artinian rings.
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The aim of this textbook is to develop the basic properties of modules and to show their importance in the theory of linear algebra. It is intended to provide a self-contained course as well as to indicate how the theory may be developed in a number of more advanced directions. Throughout, numerous exercises will enable readers to consolidate their understanding. Prerequisites are few, being only a familiarity with the basic notions of rings, fields, and groups. The first 11 chapters provide a carefully graded introduction to the central results and applications of the theory of modules. Subsequent chapters deal with advanced linear algebra (including multilinear and tensor algebra) and tackle more advanced topics. These include the exterior product approach to the determinants of matrices, a module-theoretic approach to the structure of finitely generated Abelian groups, canonical forms, and normal transformations. This edition has been revised to accommodate many suggestions to ensure its suitability for undergraduate courses. One advanced topic now covered is a proof of the celebrated Wedderburn-Artin theorem which determines the structure of simple Artinian rings.
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Module Theory. An Approach to Linear Algebra. Second Edition
Verlag:
Oxford University Press, 1990
ISBN 10: 0198533896
ISBN 13: 9780198533894
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Zustand: Very Good. *Price HAS BEEN REDUCED by 10% until Monday, July 21 (SALE ITEM)* 2nd edition, 368 pp., Paperback, covers are age-toned else text clean & binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Bestandsnummer des Verkäufers ZB1325459
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Module Theory: An Approach to Linear Algebra
Verlag:
Oxford Science Publications, 1990
ISBN 10: 0198533896
ISBN 13: 9780198533894
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Soft cover
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Soft cover. Zustand: Good. No jacket. The cover is shelf worn with the spine being slightly sunned. The spine is cracked, but binding is secure. Inside is clean and unmarked. Bestandsnummer des Verkäufers 1149071
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Module Theory: An Approach to Linear Algebra
Verlag:
Oxford University Press, 1990
ISBN 10: 0198533896
ISBN 13: 9780198533894
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paperback
Anbieter: dsmbooks, Liverpool, Vereinigtes Königreich
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paperback. Zustand: Very Good. Very Good. book. Bestandsnummer des Verkäufers D8S0-3-M-0198533896-4
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