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Numerical Analysis: A Mathematical Introduction

Numerical Analysis: A Mathematical Introduction (Paperback)

By Schatzman, Michelle
By Taylor, John

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Numerical analysis explains why numerical computations work, or fail. This book is divided into four parts. Part I starts 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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ISBN 9780198508526
Released NZ 1 Nov 2002
Publisher Oxford University Press (S3)
Format Paperback
Alternate Format(s) View All (1 other possible title(s) available)
Indent title (internationally sourced), usually ships 4-6 weeks

Full details for this title

ISBN-13 9780198508526
Stock Available
Status Indent title (internationally sourced), usually ships 4-6 weeks
Publisher Oxford University Press (S3)
Imprint Oxford University Press
Released 1 Nov 2002
Publication Country United Kingdom United Kingdom
Format Paperback
Author(s) By Schatzman, Michelle
By Taylor, John
Category Non-Fiction (Child / Teen)
Award Winning
Numerical Analysis
Applied Mathematics
Number of Pages 518
Dimensions Width: 156mm
Height: 235mm
Spine: 28mm
Dewey Code 515
Weight 736g
Interest Age 19+ years
Reading Age 19+ years
Library of Congress Numerical analysis
NBS Text Mathematics
ONIX Text College/higher education;Professional and scholarly