Foundations of Linear Algebra

By:

Jonathan S. Golan

Format:

Paperback / softback

Series:

Texts in the Mathematical Sciences

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Description

This volume presents a course in linear algebra for undergraduate mathematics students. It is considerably wider in its scope than most of the available methods and prepares the students for advanced work in algebra, differential equations, and functional analysis. Therefore, for example, it is transformation-oriented rather than matrix oriented, and whenever possible results are proved for arbitrary vector spaces and not merely for finite-dimensional vector spaces. Also, by proving results for vector spaces over arbitrary fields, rather than only the field of real or complex numbers, it prepares the way for the study of algebraic coding theory, automata theory, and other subjects in theoretical computer science. Topics are dealt with thoroughly, including ones that normally do not feature in undergraduate textbooks, and many novel and challenging exercises are given. The fact that most students are computer-literate is taken into account, not so much by emphasizing computational aspects of linear algebra which are best left to the computer, but by concentrating on the theory behind it. Audience: Recommended for a one-year undergraduate course in linear algebra.

Release date Australia

December 15th, 2010

Author

Jonathan S. Golan

Audience

Professional & Vocational

Edition

Softcover reprint of hardcover 1st ed. 1995

Illustrations

VIII, 237 p.

Pages

237

Series

Texts in the Mathematical Sciences

Dimensions

155x235x13

ISBN-13

9789048145928

Product ID

11075768

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