Linear Geometry

  • K. W. Gruenberg
  • A. J. Weir

Part of the Graduate Texts in Mathematics book series (GTM, volume 49)

Table of contents

  1. Front Matter
    Pages i-x
  2. K. W. Gruenberg, A. J. Weir
    Pages 1-14
  3. K. W. Gruenberg, A. J. Weir
    Pages 15-41
  4. K. W. Gruenberg, A. J. Weir
    Pages 42-65
  5. K. W. Gruenberg, A. J. Weir
    Pages 66-88
  6. K. W. Gruenberg, A. J. Weir
    Pages 89-124
  7. K. W. Gruenberg, A. J. Weir
    Pages 125-148
  8. K. W. Gruenberg, A. J. Weir
    Pages 149-174
  9. K. W. Gruenberg, A. J. Weir
    Pages 199-199
  10. Back Matter
    Pages 175-198

About this book


This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject. The material is suitable for a course on linear algebra for mathe­ matics majors at North American Universities in their junior or senior year and at British Universities in their second or third year. However, in view of the structure of undergraduate courses in the United States, it is very possible that, at many institutions, the text may be found more suitable at the beginning graduate level. The book has two aims: to provide a basic course in linear algebra up to, and including, modules over a principal ideal domain; and to explain in rigorous language the intuitively familiar concepts of euclidean, affine, and projective geometry and the relations between them. It is increasingly recognised that linear algebra should be approached from a geometric point of VIew. This applies not only to mathematics majors but also to mathematically-oriented natural scientists and engineers.


Mathematica Natural algebra geometry language linear algebra mathematics projective geometry

Authors and affiliations

  • K. W. Gruenberg
    • 1
  • A. J. Weir
    • 2
  1. 1.Department of Pure Mathematics, Queen Mary CollegeUniversity of LondonEngland
  2. 2.School of Mathematical and Physical SciencesUniversity of SussexEngland

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media New York 1977
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2806-1
  • Online ISBN 978-1-4757-4101-8
  • Series Print ISSN 0072-5285
  • Series Online ISSN 2197-5612
  • Buy this book on publisher's site