Numerical Analysis: A Mathematical Introduction - Rilegato

Schatzman, Michelle; Taylor, John

 
9780198502791: Numerical Analysis: A Mathematical Introduction
Rilegato
ISBN 10: 0198502796 ISBN 13: 9780198502791
Casa editrice: OUP Oxford, 2002

Sinossi

Numerical analysis explains why numerical computations work, or fail. This book is divided into four parts. Part I starts with a guided tour of floating number systems and machine arithmetic. The exponential and the logarithm are constructed from scratch to present a new point of view on questions well-known to the reader, and the needed knowledge of linear algebra is summarized. Part II starts with polynomial approximation (polynomial interpolation, mean-square approximation, splines). It then deals with Fourier series, providing the trigonometric version of least square approximations, and one of the most important numerical algorithms, the fast Fourier transform. Any scientific computation program spends most of its time solving linear systems or approximating the solution of linear systems, even when trying to solve non-linear systems. Part III is therefore about numerical linear algebra, while Part IV treats a selection of non-linear or complex problems: resolution of linear equations and systems, ordinary differential equations, single step and multi-step schemes, and an introduction to partial differential equations. The book has been written having in mind the advanced undergraduate students in mathematics who are interested in the spice and spirit of numerical analysis. The book does not assume previous knowledge of numerical methods. It will also be useful to scientists and engineers wishing to learn what mathematics has to say about the reason why their numerical methods work - or fail.

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Informazioni sull?autore

Professor Michelle Schatzman, MAPLY, 21 Avenue Claude Bernard, UCBL, F-69622 Villeurbanne Cedex, Tel: +33 4 72 44 85 26, Fax: +33 4 74 22 80 53, Email: schatz@maply.univ-lyon1.fr

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Editore
OUP Oxford
Data di pubblicazione
2002
Lingua
Inglese
ISBN 10 
0198502796
ISBN 13 
9780198502791
Rilegatura
Copertina rigida
Numero di pagine
516
Contatto del produttore
non disponibile
Persona responsabile
Penguin Random House Ireland Limited
productsafety@penguin.co.uk

Morrison Chambers, 32 Nassau Street
Dublin
D02 YH68
Irlanda

Altre edizioni note dello stesso titolo

9780198508526: Numerical Analysis: A Mathematical Introduction

Edizione in evidenza

ISBN 10:  0198508522 ISBN 13:  9780198508526
Casa editrice: Oxford University Press, U.S.A., 2005
Brossura