Undergraduate Texts in Mathematics: Linear Algebra

Smith, Larry

ISBN 10: 038790235X / ISBN 13: 9780387902357

Published by Springer-Verlag, 1978

About this Item

This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,750grams, ISBN:038790235X.

Seller Inventory # 3898864

Bibliographic Details

• Title: Undergraduate Texts in Mathematics: Linear Algebra
• Publisher: Springer-Verlag
• Publication Date: 1978
• Language: English
• ISBN 10: 038790235X
• ISBN 13: 9780387902357
• Binding: Hardcover
• Condition: Poor
• Weight: 750 grams
• Seller catalogs:
  • Mathematics

About this title

Synopsis

This popular and successful text was originally written for a one-semester course in linear algebra at the sophomore undergraduate level. Students at this level generally have had little contact with complex numbers or abstract mathematics, so the book deals almost exclusively with real finite dimensional vector spaces, but in a setting and formulation that permits easy generalization to abstract vector spaces. The goal of the first two editions was the principal axis theorem for real symmetric linear transformation. The principal axis theorem becomes the first of two goals for this new edition, which follows a straight path to its solution. A wide selection of examples of vector spaces and linear transformation is presented to serve as a testing ground for the theory. In the second edition, a new chapter on Jordan normal form was added which reappears here in expanded form as the second goal of this new edition, along with applications to differential systems. To achieve the principal axis theorem in one semester a straight path to these two goals is followed. As compensation, there is a wide selection of examples and exercises. In addition, the author includes an introduction to invariant theory to show students that linear algebra alone is not capable of solving these canonical forms problems. The book continues to offer a compact, but mathematically clean introduction to linear algebra with particular emphasis on topics that are used in abstract algebra, the theory of differential equations, and group representation theory.