Advertisement

Further Linear Algebra

  • T. S. Blyth
  • E. F. Robertson

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

Table of contents

  1. Front Matter
    Pages I-VII
  2. T. S. Blyth, E. F. Robertson
    Pages 1-10
  3. T. S. Blyth, E. F. Robertson
    Pages 11-23
  4. T. S. Blyth, E. F. Robertson
    Pages 24-36
  5. T. S. Blyth, E. F. Robertson
    Pages 37-46
  6. T. S. Blyth, E. F. Robertson
    Pages 47-56
  7. T. S. Blyth, E. F. Robertson
    Pages 57-72
  8. T. S. Blyth, E. F. Robertson
    Pages 73-89
  9. T. S. Blyth, E. F. Robertson
    Pages 90-109
  10. T. S. Blyth, E. F. Robertson
    Pages 110-126
  11. T. S. Blyth, E. F. Robertson
    Pages 127-139
  12. T. S. Blyth, E. F. Robertson
    Pages 140-152
  13. T. S. Blyth, E. F. Robertson
    Pages 153-170
  14. T. S. Blyth, E. F. Robertson
    Pages 171-197
  15. T. S. Blyth, E. F. Robertson
    Pages 198-227
  16. Back Matter
    Pages 228-232

About this book

Introduction

Most of the introductory courses on linear algebra develop the basic theory of finite­ dimensional vector spaces, and in so doing relate the notion of a linear mapping to that of a matrix. Generally speaking, such courses culminate in the diagonalisation of certain matrices and the application of this process to various situations. Such is the case, for example, in our previous SUMS volume Basic Linear Algebra. The present text is a continuation of that volume, and has the objective of introducing the reader to more advanced properties of vector spaces and linear mappings, and consequently of matrices. For readers who are not familiar with the contents of Basic Linear Algebra we provide an introductory chapter that consists of a compact summary of the prerequisites for the present volume. In order to consolidate the student's understanding we have included a large num­ ber of illustrative and worked examples, as well as many exercises that are strategi­ cally placed throughout the text. Solutions to the exercises are also provided. Many applications of linear algebra require careful, and at times rather tedious, calculations by hand. Very often these are subject to error, so the assistance of a com­ puter is welcome. As far as computation in algebra is concerned, there are several packages available. Here we include, in the spirit of a tutorial, a chapter that gives 1 a brief introduction to the use of MAPLE in dealing with numerical and algebraic problems in linear algebra.

Keywords

Lenear Algebra algebra linear algebra matrices matrix quadratic form

Authors and affiliations

  • T. S. Blyth
    • 1
  • E. F. Robertson
    • 1
  1. 1.School of Mathematics and StatisticsUniversity of St Andrews, North HaughSt AndrewsUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-0661-6
  • Copyright Information Springer-Verlag London 2002
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-85233-425-3
  • Online ISBN 978-1-4471-0661-6
  • Series Print ISSN 1615-2085
  • Buy this book on publisher's site
Industry Sectors
Pharma
Automotive
Finance, Business & Banking
Electronics
Telecommunications
Aerospace
Oil, Gas & Geosciences