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Linear Algebra

  • Werner Greub

Part of the Graduate Texts in Mathematics book series (GTM, volume 23)

Table of contents

  1. Front Matter
    Pages I-XVII
  2. Werner Greub
    Pages 1-4
  3. Werner Greub
    Pages 5-40
  4. Werner Greub
    Pages 41-82
  5. Werner Greub
    Pages 83-98
  6. Werner Greub
    Pages 99-143
  7. Werner Greub
    Pages 144-166
  8. Werner Greub
    Pages 167-185
  9. Werner Greub
    Pages 186-215
  10. Werner Greub
    Pages 216-260
  11. Werner Greub
    Pages 261-295
  12. Werner Greub
    Pages 296-324
  13. Werner Greub
    Pages 325-350
  14. Werner Greub
    Pages 351-382
  15. Werner Greub
    Pages 383-444
  16. Back Matter
    Pages 445-451

About this book

Introduction

This textbook gives a detailed and comprehensive presentation of linear algebra based on an axiomatic treatment of linear spaces. For this fourth edition some new material has been added to the text, for instance, the intrinsic treatment of the classical adjoint of a linear transformation in Chapter IV, as well as the discussion of quaternions and the classifica­ tion of associative division algebras in Chapter VII. Chapters XII and XIII have been substantially rewritten for the sake of clarity, but the contents remain basically the same as before. Finally, a number of problems covering new topics-e.g. complex structures, Caylay numbers and symplectic spaces - have been added. I should like to thank Mr. M. L. Johnson who made many useful suggestions for the problems in the third edition. I am also grateful to my colleague S. Halperin who assisted in the revision of Chapters XII and XIII and to Mr. F. Gomez who helped to prepare the subject index. Finally, I have to express my deep gratitude to my colleague J. R. Van­ stone who worked closely with me in the preparation of all the revisions and additions and who generously helped with the proof reading.

Keywords

Matrix algebra automorphism field linear algebra matrices transformation

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-9446-4
  • Copyright Information Springer-Verlag New York 1975
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-9448-8
  • Online ISBN 978-1-4684-9446-4
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site