Module Theory: An Approach to Linear Algebra

Thomas Scott Blyth

ISBN 10: 0198533896 / ISBN 13: 9780198533894

Verlag: Oxford Science Publications, 1990

Beschreibung

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

Bibliografische Details

• Titel: Module Theory: An Approach to Linear Algebra
• Verlag: Oxford Science Publications
• Erscheinungsjahr: 1990
• Sprache: Englisch
• ISBN-10: 0198533896
• ISBN-13: 9780198533894
• Einband: Soft cover
• Auflage: 2. Auflage
• Zustand: Good
• Zustand des Schutzumschlags: No jacket
• Verkäuferkataloge:
  • Mathematics

Über diesen Titel

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.