Numerical Analysis (Second Edition)

[Pages:16]Walter Gautschi

Numerical Analysis

Second Edition

Walter Gautschi Department of Computer Sciences Purdue University 250 N. University Street West Lafayette, IN 47907-2066 wgautschi@purdue.edu

ISBN 978-0-8176-8258-3

e-ISBN 978-0-8176-8259-0

DOI 10.1007/978-0-8176-8259-0

Springer New York Dordrecht Heidelberg London

Library of Congress Control Number: 2011941359

Mathematics Subject Classification (2010): 65-01, 65D05, 65D07, 65D10, 65D25, 65D30, 65D32, 65H04, 65H05, 65H10, 65L04, 65L05, 65L06, 65L10

c Springer Science+Business Media, LLC 1997, 2012 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer ScienceCBusiness Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.

Printed on acid-free paper

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Preface to the Second Edition

In this second edition, the outline of chapters and sections has been preserved. The subtitle "An Introduction", as suggested by several reviewers, has been deleted. The content, however, is brought up to date, both in the text and in the notes. Many passages in the text have been either corrected or improved. Some biographical notes have been added as well as a few exercises and computer assignments. The typographical appearance has also been improved by printing vectors and matrices consistently in boldface types.

With regard to computer language in illustrations and exercises, we now adopt uniformly Matlab. For readers not familiar with Matlab, there are a number of introductory texts available, some, like Moler [2004], Otto and Denier [2005], Stanoyevitch [2005] that combine Matlab with numerical computing, others, like Knight [2000], Higham and Higham [2005], Hunt, Lipsman and Rosenberg [2006], and Driscoll [2009], more exclusively focused on Matlab.

The major novelty, however, is a complete set of detailed solutions to all exercises and machine assignments. The solution manual is available to instructors upon request at the publisher's website . Selected solutions are also included in the text to give students an idea of what is expected. The bibliography has been expanded to reflect technical advances in the field and to include references to new books and expository accounts. As a result, the text has undergone an expansion in size of about 20%.

West Lafayette, Indiana November 2011

Walter Gautschi

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