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© 1963

Linear Algebra

Conference proceedings

Part of the Die Grundlehren der Mathematischen Wissenschaften book series (GL, volume 97)

Table of contents

  1. Front Matter
    Pages II-XI
  2. Werner H. Greub
    Pages 1-15
  3. Werner H. Greub
    Pages 16-31
  4. Werner H. Greub
    Pages 31-46
  5. Werner H. Greub
    Pages 46-71
  6. Werner H. Greub
    Pages 71-81
  7. Werner H. Greub
    Pages 81-95
  8. Werner H. Greub
    Pages 96-111
  9. Werner H. Greub
    Pages 112-133
  10. Werner H. Greub
    Pages 133-160
  11. Werner H. Greub
    Pages 160-185
  12. Werner H. Greub
    Pages 186-220
  13. Werner H. Greub
    Pages 220-250
  14. Werner H. Greub
    Pages 250-275
  15. Werner H. Greub
    Pages 275-302
  16. Werner H. Greub
    Pages 302-333
  17. Back Matter
    Pages 333-338

About these proceedings

Introduction

Besides the very obvious change from German to English, the second edition of this book contains many additions as weil as a great many other changes. It might even be called a new book altogether were it not for the fact that the essential character of the book has remained the same; in other words, the entire presentation continues to be based on an axiomatic treatment of linear spaces. In this second edition, the thorough-going restriction to linear spaces of finite dimension has been removed. Another complete change is the restriction to linear spaces with real or complex coefficients, thereby removing a number of relatively involved discussions which did not really contribute substantially to the subject. On p.6 there is a list of those chapters in which the presentation can be transferred directly to spaces over an arbitrary coefficient field. Chapter I deals with the general properties of a linear space. Those concepts which are only valid for finitely many dimensions are discussed in a special paragraph. Chapter 11 now covers only linear transformations while the treat­ ment of matrices has been delegated to a new chapter, chapter 111. The discussion of dual spaces has been changed; dual spaces are now intro­ duced abstractly and the connection with the space of linear functions is not established untillater.

Keywords

algebra field linear algebra matrices transformation

Authors and affiliations

  1. 1.Mathematics DepartmentUniversity of TorontoCanada

Bibliographic information

  • Book Title Linear Algebra
  • Authors Werner H. Greub
  • Series Title Die Grundlehren der Mathematischen Wissenschaften
  • DOI https://doi.org/10.1007/978-3-662-01545-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1963
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-A-540-00298-
  • Softcover ISBN 978-3-662-01547-6
  • eBook ISBN 978-3-662-01545-2
  • Series ISSN 0072-7830
  • Edition Number 2
  • Number of Pages XI, 338
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Title of the original German edition: Lineare Algebra
  • Topics Algebra
  • Buy this book on publisher's site