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Basic Linear Algebra

  • Thomas S. Blyth
  • Edmund F. Robertson

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Thomas S. Blyth, Edmund F. Robertson
    Pages 1-15
  3. Thomas S. Blyth, Edmund F. Robertson
    Pages 16-25
  4. Thomas S. Blyth, Edmund F. Robertson
    Pages 26-56
  5. Thomas S. Blyth, Edmund F. Robertson
    Pages 57-66
  6. Thomas S. Blyth, Edmund F. Robertson
    Pages 67-91
  7. Thomas S. Blyth, Edmund F. Robertson
    Pages 92-109
  8. Thomas S. Blyth, Edmund F. Robertson
    Pages 110-124
  9. Thomas S. Blyth, Edmund F. Robertson
    Pages 125-147
  10. Thomas S. Blyth, Edmund F. Robertson
    Pages 148-167
  11. Thomas S. Blyth, Edmund F. Robertson
    Pages 168-174
  12. Thomas S. Blyth, Edmund F. Robertson
    Pages 175-199
  13. Back Matter
    Pages 200-201

About this book

Introduction

Basic Linear Algebra is a text for first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises. The book explains the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations, and complex numbers. Linear equations are treated via Hermite normal forms, which provides a successful and concrete explanation of the notion of linear independence. Another highlight is the connection between linear mappings and matrices, leading to the change of basis theorem which opens the door to the notion of similarity. The authors are well known algebraists with considerable experience of teaching introductory courses on linear algebra to students at St Andrews. This book is based on one previously published by Chapman and Hall, but it has been extensively updated to include further explanatory text and fully worked solutions to the exercises that all 1st year students should be able to answer.

Keywords

Eigenvalue Eigenvector Matrix algebra equation geometry linear algebra theorem

Authors and affiliations

  • Thomas S. Blyth
    • 1
  • Edmund F. Robertson
    • 1
  1. 1.School of Mathematics and Computer ScienceUniversity of St AndrewsNorth Haugh, St AndrewsUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-3496-1
  • Copyright Information Springer-Verlag London 1998
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-76122-8
  • Online ISBN 978-1-4471-3496-1
  • Series Print ISSN 1615-2085
  • Buy this book on publisher's site
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