The Linear Algebra a Beginning Graduate Student Ought to Know

  • Jonathan S. Golan

Table of contents

  1. Front Matter
    Pages I-XI
  2. Jonathan S. Golan
    Pages 1-3
  3. Jonathan S. Golan
    Pages 5-16
  4. Jonathan S. Golan
    Pages 17-32
  5. Jonathan S. Golan
    Pages 33-48
  6. Jonathan S. Golan
    Pages 49-78
  7. Jonathan S. Golan
    Pages 79-98
  8. Jonathan S. Golan
    Pages 99-116
  9. Jonathan S. Golan
    Pages 131-168
  10. Jonathan S. Golan
    Pages 169-198
  11. Jonathan S. Golan
    Pages 199-228
  12. Jonathan S. Golan
    Pages 229-266
  13. Jonathan S. Golan
    Pages 267-284
  14. Jonathan S. Golan
    Pages 285-298
  15. Jonathan S. Golan
    Pages 299-324
  16. Jonathan S. Golan
    Pages 325-348
  17. Jonathan S. Golan
    Pages 349-368
  18. Jonathan S. Golan
    Pages 369-388
  19. Jonathan S. Golan
    Pages 389-398

About this book

Introduction

Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as computer science, the physical and social sciences, and engineering. It entails an extensive corpus of theoretical results as well as a large body of computational techniques.

The book is intended to be used in one of several possible ways:

(1) as a self-study guide;

(2) as a textbook for a course in advanced linear algebra, either at the upper-class undergraduate level or at the first-year graduate level; or

(3) as a reference book.

It is also designed to prepare a student for the linear algebra portion of prelim exams or PhD qualifying exams.

The volume is self-contained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, to some basic ideas and techniques, such as the solution of a small system of linear equations over the real numbers. More importantly, it does assume a seriousness of purpose and a modicum of mathematical sophistication. The book also contains over 1000 exercises, many of which are very challenging.

Keywords

Eigenvalue Eigenvector Vector space algebra algorithms computer computer science linear algebra

Authors and affiliations

  • Jonathan S. Golan
    • 1
  1. 1.University of HaifaIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4020-5495-2
  • Copyright Information Springer 2007
  • Publisher Name Springer, Dordrecht
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4020-5494-5
  • Online ISBN 978-1-4020-5495-2
  • About this book