Linear Algebra

An Introduction to Abstract Mathematics

  • Robert J. Valenza

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Robert J. Valenza
    Pages 1-17
  3. Robert J. Valenza
    Pages 18-36
  4. Robert J. Valenza
    Pages 37-58
  5. Robert J. Valenza
    Pages 59-77
  6. Robert J. Valenza
    Pages 78-99
  7. Robert J. Valenza
    Pages 100-130
  8. Robert J. Valenza
    Pages 131-150
  9. Robert J. Valenza
    Pages 151-168
  10. Robert J. Valenza
    Pages 169-186
  11. Robert J. Valenza
    Pages 187-213
  12. Back Matter
    Pages 214-237

About this book


Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.


Algebra Eigenvalue Eigenvector Matrix Permutation homomorphism linear algebra

Authors and affiliations

  • Robert J. Valenza
    • 1
  1. 1.Department of MathematicsClaremont McKenna CollegeClaremontUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media New York 1993
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6940-3
  • Online ISBN 978-1-4612-0901-0
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site