# A Brief Introduction to Numerical Analysis

• Eugene E. Tyrtyshnikov
Textbook

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

### 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

• DOI https://doi.org/10.1007/978-0-8176-8136-4
• Copyright Information Birkhäuser Boston 1997
• Publisher Name Birkhäuser, Boston, MA
• eBook Packages
• Print ISBN 978-1-4612-6413-2
• Online ISBN 978-0-8176-8136-4
• Buy this book on publisher's site