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Numerical Analysis: A Mathematical Introduction

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Numerical Analysis: A Mathematical Introduction Cover

 

Synopses & Reviews

Publisher Comments:

This book provides professionals and students with a thorough understanding of the interface between mathematics and scientific computation. Ranging from classical questions to modern techniques, it explains why numerical computations succeed or fail. The book is divided into four sections, with an emphasis on the use of mathematics as a tool in determining the success rate of numerical methods. The text requires only a modest level of mathematical training, and is ideally suited for scientists and students in mathematics, physics and engineering.

Table of Contents

I: The entrance fee

1. Floating numbers

2. A flavour of numerical analysis

3. Algebraic preliminaries

II: Polynomial and trigonometric approximation

4. Interpolation and divided differences

5. Least-squares approximation for polynomials

6. Splines

7. Fourier's world

8. Quadrature

III: Numerical linear algebra

9. Gauss's world

10. Theoretical interlude

11. Iterations and recurrence

12. Pythagoras' world

IV: Nonlinear problems

13. Spectra

14. Nonlinear equations and systems

15. Solving differential systems

16. Single-step schemes

17. Linear multistep schemes

18. Towards partial differential equations

References

Index

Product Details

ISBN:
9780198502791
Author:
Schatzman, Michelle
Publisher:
Oxford University Press, USA
Author:
null, Michelle
Author:
Schatzman, M.
Subject:
Mathematical Analysis
Subject:
Applied
Subject:
Number Theory
Subject:
Numerical analysis
Subject:
Mathematics | Computational Mathematics
Subject:
Mathematics-Applied
Publication Date:
20021231
Binding:
HARDCOVER
Grade Level:
College/higher education:
Language:
English
Illustrations:
53 line illus
Pages:
512
Dimensions:
6.6 x 9.6 x 1.3 in 2.11 lb

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Related Subjects

Engineering » Engineering » General Engineering
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Number Theory
Science and Mathematics » Mathematics » Numeric Analysis

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