Essential Student Algebra

Volume Two: Matrices and Vector Spaces

  • T. S. Blyth
  • E. F. Robertson

Table of contents

  1. Front Matter
    Pages i-vii
  2. T. S. Blyth, E. F. Robertson
    Pages 1-12
  3. T. S. Blyth, E. F. Robertson
    Pages 13-20
  4. T. S. Bilyth, E. F. Robertson
    Pages 21-41
  5. T. S. Blyth, E. F. Robertson
    Pages 42-47
  6. T. S. Blyth, E. F. Robertson
    Pages 48-63
  7. T. S. Blyth, E. F. Robertson
    Pages 64-73
  8. T. S. Blyth, E. F. Robertson
    Pages 74-85
  9. T. S. Blyth, E. F. Robertson
    Pages 86-99
  10. T. S. Blyth, E. F. Robertson
    Pages 100-118
  11. Back Matter
    Pages 119-120

About this book

Introduction

H, as it is often said, mathematics is the queen of science then algebra is surely the jewel in her crown. In the course of its vast development over the last half-century, algebra has emerged as the subject in which one can observe pure mathe­ matical reasoning at its best. Its elegance is matched only by the ever-increasing number of its applications to an extraordinarily wide range of topics in areas other than 'pure' mathematics. Here our objective is to present, in the form of a series of five concise volumes, the fundamentals of the subject. Broadly speaking, we have covered in all the now traditional syllabus that is found in first and second year university courses, as well as some third year material. Further study would be at the level of 'honours options'. The reasoning that lies behind this modular presentation is simple, namely to allow the student (be he a mathematician or not) to read the subject in a way that is more appropriate to the length, content, and extent, of the various courses he has to take. Although we have taken great pains to include a wide selec­ tion of illustrative examples, we have not included any exer­ cises. For a suitable companion collection of worked examples, we would refer the reader to our series Algebra through practice (Cambridge University Press), the first five books of which are appropriate to the material covered here.

Keywords

Eigenvalue Eigenvector algebra matrices matrix science

Authors and affiliations

  • T. S. Blyth
    • 1
  • E. F. Robertson
    • 1
  1. 1.University of St AndrewsUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-2213-1
  • Copyright Information Springer Science+Business Media B.V. 1986
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-412-27870-9
  • Online ISBN 978-94-017-2213-1
  • About this book