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A Brief Introduction to Numerical Analysis

  • Eugene E. Tyrtyshnikov

Table of contents

  1. Front Matter
    Pages i-xii
  2. Eugene E. Tyrtyshnikov
    Pages 1-10
  3. Eugene E. Tyrtyshnikov
    Pages 11-20
  4. Eugene E. Tyrtyshnikov
    Pages 21-29
  5. Eugene E. Tyrtyshnikov
    Pages 31-37
  6. Eugene E. Tyrtyshnikov
    Pages 39-48
  7. Eugene E. Tyrtyshnikov
    Pages 49-55
  8. Eugene E. Tyrtyshnikov
    Pages 57-64
  9. Eugene E. Tyrtyshnikov
    Pages 65-73
  10. Eugene E. Tyrtyshnikov
    Pages 75-84
  11. Eugene E. Tyrtyshnikov
    Pages 85-93
  12. Eugene E. Tyrtyshnikov
    Pages 95-101
  13. Eugene E. Tyrtyshnikov
    Pages 103-111
  14. Eugene E. Tyrtyshnikov
    Pages 113-121
  15. Eugene E. Tyrtyshnikov
    Pages 123-130
  16. Eugene E. Tyrtyshnikov
    Pages 131-138
  17. Eugene E. Tyrtyshnikov
    Pages 139-144
  18. Eugene E. Tyrtyshnikov
    Pages 145-154
  19. Eugene E. Tyrtyshnikov
    Pages 155-164
  20. Eugene E. Tyrtyshnikov
    Pages 165-176
  21. Eugene E. Tyrtyshnikov
    Pages 177-185
  22. Eugene E. Tyrtyshnikov
    Pages 187-196
  23. Back Matter
    Pages 197-202

About this book

Introduction

Probably I ought to explain why one more book on numerical methods can be useful. Without any doubt, there are many quite good and excellent books on the subject. But I know definitely that I did not realize this when I was a student. In this book, my first desire was to present those lectures that I wished I would have heard when I was a student. Besides, in spite of the profusion of textbooks, introductory courses, and monographs on numerical methods, some of them are too elementary, some are too difficult, some are far too overwhelmedwith applications, and most of them are too lengthy for those who want to see the whole picture in a short time. I hope that the brevity of the course left me no chance to obscure the beauty and depth of mathematical ideas behind the theory and methods of numerical analysis. I am convincedthat such a book should be very conciseindeed. It should be thoroughly structured, giving information in short sections which, ideally, are a half-page in length. Equally important, the book should not give an impression that nothing is left to work on in this field. Any time it becomes possible to say something about modern development and recent results, I do try to find time and place for this.

Keywords

Algebra Mathematics Numerical Analysis calculus equation function ksa proof

Authors and affiliations

  • Eugene E. Tyrtyshnikov
    • 1
  1. 1.Institute of Numerical MathematicsRussian Academy of SciencesMoscowRussia

Bibliographic information

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