Linear Algebra

  • Werner H. Greub
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

  • Werner H. Greub
    • 1
  1. 1.Mathematics DepartmentUniversity of TorontoCanada

Bibliographic information

  • 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
  • Print ISBN 978-3-662-01547-6
  • Online ISBN 978-3-662-01545-2
  • Series Print ISSN 0072-7830
  • About this book