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Linear Algebra

  • Larry Smith

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Larry Smith
    Pages 1-14
  3. Larry Smith
    Pages 15-23
  4. Larry Smith
    Pages 25-33
  5. Larry Smith
    Pages 35-45
  6. Larry Smith
    Pages 47-56
  7. Larry Smith
    Pages 85-112
  8. Larry Smith
    Pages 129-157
  9. Larry Smith
    Pages 199-226
  10. Larry Smith
    Pages 267-306
  11. Larry Smith
    Pages 307-341
  12. Larry Smith
    Pages 343-380
  13. Larry Smith
    Pages 381-404
  14. Larry Smith
    Pages 405-410
  15. Back Matter
    Pages 411-454

About this book

Introduction

This popular and successful text was originally written for a one-semester course in linear algebra at the sophomore undergraduate level. Consequently, 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. 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, after the principal axis theorem. To achieve these goals in one semester it is necessary to follow a straight path, but this is compensated by a wide selection of examples and exercises. In addition, the author includes an introduction to invariant theory to show that linear algebra alone is incapable of solving these canonical forms problems. This book is a compact but mathematically clean introduction to linear algebra with particular emphasis on topics in abstract algebra, the theory of differential equations, and group representation theory.

Keywords

Eigenvalue Eigenvector Lineare Algebra Matrix Multilinear Algebra adopted textbook algebra linear algebra

Authors and affiliations

  • Larry Smith
    • 1
  1. 1.Mathematisches InstitutUniversität GöttingenGottingenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1670-4
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7238-0
  • Online ISBN 978-1-4612-1670-4
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site
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