Numerical Analysis

A Mathematical Introduction

Michelle Schatzman

496 pages, parution le 08/11/2002

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Résumé

Numerical analysis explains why numerical computations work - or fail. These are mathematical questions, and the book answers in kind, providing students with a very complete and sound presentation of the interface between mathematics and scientific computation. The book does not assume previous knowledge of numerical methods. It includes a large range of exercises, and will be suitable as a textbook at the advanced undergraduate level.
Readership: Primary: Advanced undergraduate students (US: juniors/seniors) in mathematics. Secondary: scientists and engineers in the field of scientific computation.

Contents

Part I: The entrance fee
1 Floating numbers
2 A flavour of numerical analysis
3 Algebraic preliminaries
Part II: Polynomial and trigonometric approximation of functions
4 Interpolation and divided differences
5 Least squares for polynomials
6 Splines
7 Fourier's world
8 Quadrature
Part III: Numerical linear algebra
9 Gauss' world
10 Theoretical interlude
11 Iterations and recurrences
12 Pythagoras' world
Part IV: Non-linear problems
13 Spectra
14 Non-linear equations and systems
15 Solving differential systems
16 Single step schemes
17 Linear multi-step schemes
18 Toward partial differential equations
Bibliography
Index

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	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Michelle Schatzman
Parution	08/11/2002
Nb. de pages	496
Format	15,5 x 23,5
Couverture	Broché
Poids	735g
Intérieur	Noir et Blanc
EAN13	9780198508526
ISBN13	978-0-19-850852-6