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Foundations of Linear Algebra

  • Jonathan S. Golan

Part of the Kluwer Texts in the Mathematical Sciences book series (TMS, volume 11)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Jonathan S. Golan
    Pages 1-2
  3. Jonathan S. Golan
    Pages 3-11
  4. Jonathan S. Golan
    Pages 12-23
  5. Jonathan S. Golan
    Pages 24-40
  6. Jonathan S. Golan
    Pages 41-54
  7. Jonathan S. Golan
    Pages 55-64
  8. Jonathan S. Golan
    Pages 76-92
  9. Jonathan S. Golan
    Pages 93-110
  10. Jonathan S. Golan
    Pages 111-126
  11. Jonathan S. Golan
    Pages 127-143
  12. Jonathan S. Golan
    Pages 144-153
  13. Jonathan S. Golan
    Pages 154-160
  14. Jonathan S. Golan
    Pages 161-182
  15. Jonathan S. Golan
    Pages 183-197
  16. Jonathan S. Golan
    Pages 198-203
  17. Jonathan S. Golan
    Pages 204-218
  18. Jonathan S. Golan
    Pages 219-227
  19. Back Matter
    Pages 228-237

About this book

Introduction

This book is an extensively revised version of my textbook "¥esodot HaAlgebra HaLiniarit" (The Foundations of Linear Algebra) used at many universities in Israel. It is designed for a comprehensive one-year course in linear algebra (112 lecture hours) for mathematics majors. Therefore, I assume that the student already has a certain amount of mathematical background - including set theory, mathematical induction, basic analytic geometry, and elementary calculus - as wellas a modicum of mathematical sophistication. My intention is to provide not only a solid basis in the abstract theory of linear algebra, but also to provide examples of the application of this theory to other branches ofmathematics and computer science. Thus, for example, the introduction of finite fields is dictated by the needs of students studying algebraic coding theory as an immediate followup to their linear algebra studies. Many of the students studying linear algebra either are familiar with the care and feeding of computers before they begin their studies or are simultaneously en­ rolled in an introductory computer science course. Therefore, consideration of the more computational aspects of linear algebra - such as the solution of systems of linear equations and the calculation of eigenvalues - is delayed until all students are assumed able to write computer programs for this purpose. Beginning with Chap­ ter VII, there is an implicit assumption that the student has access to a personal computer and knows how to use it.

Keywords

Eigenvalue Eigenvector Matrix algebra linear algebra

Authors and affiliations

  • Jonathan S. Golan
    • 1
  1. 1.Department of Mathematics and Computer ScienceUniversity of HaifaHaifaIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8502-6
  • Copyright Information Springer Science+Business Media B.V. 1995
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4592-8
  • Online ISBN 978-94-015-8502-6
  • Series Print ISSN 0927-4529
  • Buy this book on publisher's site
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