An Introduction to Numerical Analysis (Kendall Atkinson 2010 Wiley).pdf

AN INTRODUCTION TO
NUMERICAL ANALYSIS
Second Edition
Kendall E. Atkinson
University of Iowa
•WILEY
John Wiley & Sons
Copyright© 1978, 1989, by John Wiley & Sons, Inc.
All rights reserved. Published simultaneously in Canada.
Reproduction or translation of any part of
this work beyond that permitted by Sections
107 and 108 of the 1976 United States Copyright
Act without the permission of the copyright
owner is unlawful. Requests for permission
or further information should be addressed to
the Permissions Department, John Wiley & Sons.
Library• of Cataloging in Publication Data:
Atkinson, Kendall E.
An introduction to numerical analysis/Kendall E. Atkinson.-
2nd ed.
p. em.
Bibliography: p.
Includes index.
' ISBN 0-471-62489-6
'·
1. Numerical analysis. I. Title.
1988
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20 19 18 17 16 15 14
PREFACE
to the first edition
This introduction to numerical analysis was written for students in mathematics,
the physical sciences, and engineering, at the upper undergraduate to beginning
graduate level. Prerequisites for using the text are elementary calculus, linear
algebra, and an introduction to differential equations. The student's level of
mathematical maturity or experience with mathematics should be somewhat
higher; I have found that most students do not attain the necessary level until
their senior year. Finally, the student should have a knowledge puter
programming. The preferred language for most scientific programming is For•
tran.
A truly effective use of numerical analysis in applications requires both a
theoretical knowledge of the subject putational experience with it. The
theoretical knowledge should include an understanding of both the original
problem being solved and of the numerical for its solution, including
their derivation, error analysis, and an idea of when they will perform well or
poo