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Multilinear Algebra

  • Werner Greub

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Werner Greub
    Pages 1-40
  3. Werner Greub
    Pages 60-83
  4. Werner Greub
    Pages 96-147
  5. Werner Greub
    Pages 148-173
  6. Werner Greub
    Pages 174-192
  7. Werner Greub
    Pages 193-208
  8. Werner Greub
    Pages 209-226
  9. Werner Greub
    Pages 227-259
  10. Werner Greub
    Pages 260-290
  11. Back Matter
    Pages 291-296

About this book

Introduction

This book is a revised version of the first edition and is intended as a Linear Algebra sequel and companion volume to the fourth edition of (Graduate Texts in Mathematics 23). As before, the terminology and basic results of Linear Algebra are frequently used without refer~nce. In particular, the reader should be familiar with Chapters 1-5 and the first part of Chapter 6 of that book, although other sections are occasionally used. In this new version of Multilinear Algebra, Chapters 1-5 remain essen­ tially unchanged from the previous edition. Chapter 6 has been completely rewritten and split into three (Chapters 6, 7, and 8). Some of the proofs have been simplified and a substantial amount of new material has been added. This applies particularly to the study of characteristic coefficients and the Pfaffian. The old Chapter 7 remains as it stood, except that it is now Chapter 9. The old Chapter 8 has been suppressed and the material which it con­ tained (multilinear functions) has been relocated at the end of Chapters 3, 5, and 9. The last two chapters on Clifford algebras and their representations are completely new. In view of the growing importance of Clifford algebras and the relatively few references available, it was felt that these chapters would be useful to both mathematicians and physicists.

Keywords

Multilinear Algebra Multilineare Algebra algebra clifford algebra linear algebra transformation

Authors and affiliations

  • Werner Greub
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-9425-9
  • Copyright Information Springer-Verlag New York Inc. 1978
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90284-5
  • Online ISBN 978-1-4613-9425-9
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site
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