Module Theory: An Approach to Linear Algebra

Module Theory: An Approach to Linear Algebra

by Tom S. Blyth, Blyth
     
 

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This textbook provides a self-contained course on the basic properties of modules and their importance in the theory of linear algebra. The first 11 chapters introduce the central results and applications of the theory of modules. Subsequent chapters deal with advanced linear algebra, including multilinear and tensor algebra, and explore such topics as the exterior

Overview

This textbook provides a self-contained course on the basic properties of modules and their importance in the theory of linear algebra. The first 11 chapters introduce the central results and applications of the theory of modules. Subsequent chapters deal with advanced linear algebra, including multilinear and tensor algebra, and explore such topics as 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. Suitable for undergraduate courses, the text now includes a proof of the celebrated Wedderburn-Artin theorem which determines the structure of simple Artinian rings.

Product Details

ISBN-13:
9780198533894
Publisher:
Oxford University Press, USA
Publication date:
07/01/1990
Edition description:
2nd ed
Pages:
368
Product dimensions:
6.19(w) x 9.19(h) x 0.87(d)

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