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Birkhäuser

A Brief Introduction to Numerical Analysis

  • Textbook
  • © 1997

Overview

Authors:
  1. Eugene E. Tyrtyshnikov

    1. Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Lecture 1

    • Eugene E. Tyrtyshnikov
    Pages 1-10

  3. Lecture 2

    • Eugene E. Tyrtyshnikov
    Pages 11-20

  4. Lecture 3

    • Eugene E. Tyrtyshnikov
    Pages 21-29

  5. Lecture 4

    • Eugene E. Tyrtyshnikov
    Pages 31-37

  6. Lecture 5

    • Eugene E. Tyrtyshnikov
    Pages 39-48

  7. Lecture 6

    • Eugene E. Tyrtyshnikov
    Pages 49-55

  8. Lecture 7

    • Eugene E. Tyrtyshnikov
    Pages 57-64

  9. Lecture 8

    • Eugene E. Tyrtyshnikov
    Pages 65-73

  10. Lecture 9

    • Eugene E. Tyrtyshnikov
    Pages 75-84

  11. Lecture 10

    • Eugene E. Tyrtyshnikov
    Pages 85-93

  12. Lecture 11

    • Eugene E. Tyrtyshnikov
    Pages 95-101

  13. Lecture 12

    • Eugene E. Tyrtyshnikov
    Pages 103-111

  14. Lecture 13

    • Eugene E. Tyrtyshnikov
    Pages 113-121

  15. Lecture 14

    • Eugene E. Tyrtyshnikov
    Pages 123-130

  16. Lecture 15

    • Eugene E. Tyrtyshnikov
    Pages 131-138

  17. Lecture 16

    • Eugene E. Tyrtyshnikov
    Pages 139-144

  18. Lecture 17

    • Eugene E. Tyrtyshnikov
    Pages 145-154

  19. Lecture 18

    • Eugene E. Tyrtyshnikov
    Pages 155-164

  20. Lecture 19

    • Eugene E. Tyrtyshnikov
    Pages 165-176
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Keywords

About this book

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.

Reviews

"The title of this book reflects its structure and style with great exactness... The presentation of the material is very clear and supported by properly chosen exercises of good didactic value added to each lecture."

- Zentralblatt Math

"[The book] is a short and elegant coupling of simplicity and very deep results…[It] can be used both as an introduction and a refinement to a university course. Students [in] mathematics and physics but also other advanced readers and experienced researchers find both the classical fundamental results and new visions and ideas while reading this nice book."

- ZAA

Authors and Affiliations

  • Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia

    Eugene E. Tyrtyshnikov

Bibliographic Information

  • Book Title: A Brief Introduction to Numerical Analysis

  • Authors: Eugene E. Tyrtyshnikov

  • DOI: https://doi.org/10.1007/978-0-8176-8136-4

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-8176-3916-7Published: 01 July 1997

  • Softcover ISBN: 978-1-4612-6413-2Published: 14 December 2012

  • eBook ISBN: 978-0-8176-8136-4Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XII, 202

  • Topics: Numerical Analysis, Computational Mathematics and Numerical Analysis

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