Numerical Analysis / Edition 2

by Walter Gautschi

Overview

Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth.

Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the edition also comes with a complete solutions manual, carefully developed and polished by the author, which will serve as an exceptionally valuable resource for instructors.

Product Details

ISBN-13:	9780817682583
Publisher:	Birkhäuser Boston
Publication date:	12/06/2011
Edition description:	2nd ed. 2012
Pages:	588
Product dimensions:	6.10(w) x 9.25(h) x 0.05(d)

About the Author

Walter Gautschi holds a Ph.D. in mathematics from the University of Basel, and completed postdoctoral work as a Janggen-Pöhn Research Fellow at the Istituto Nazionale per le Applicazioni del Calcolo in Rome and at the Harvard Computation Laboratory. His professional experience included positions at the National Bureau of Standards, the American University in Washington D.C., and the Oak Ridge National Laboratory, after which he spent his entire career at Purdue University. In addition to his previous edition of this title, Dr. Gautschi has authored a book on orthogonal polynomials and over 150 papers, many on the subject of numerical analysis.

Table of Contents

Preface to the Second Edition.- Preface.- Prologue.- Chapter 1. Machine Arithmetic and Related Matters.- Chapter 2. Approximation and Interpolation.- Chapter 3. Numerical Differentiation and Integration.- Chapter 4. Nonlinear Equations.- Chapter 5. Initial Value Problems for ODEs —- One-Step Methods.- Chapter 6. Initial Value Problems for ODEs —- Multi-Step Methods.- Chapter 7. Two-Point Boundary Value Problems for ODEs.- References.- Subject Index.

Editorial Reviews

The book reads like an unfolding story... Topics are motivated with great care and ingenuity that might be given to establishing the drive behind characters in a good novel... Clarity is never sacrificed for elegance. Above all, the pace is always lively and brisk, the writing concise, and the author never lets the exposition bog down... [The book] successfully conveys the author's interest and experience in the subject to the reader. —SIAM, review of the First Edition

From the reviews of the second edition:

“This is the second updated edition of the 1997 version. It’s a classical book on numerical analysis that can be used as course notes. … The second edition has updated references and notes … . The major change is however that now solutions to all exercises and computer assignments are available. … Conclusion: one of the better handbooks on the market today, based on several decades of teaching experience of the author. It is an excellent tool for teaching a classical numerical analysis course.” (A. Bultheel, The European Mathematical Society, February, 2012)

From the Publisher

A textbook introducing the branch of mathematics that develops and analyzes computational methods dealing with problems arising in classical analysis, approximation theory, the theory of equations, and ordinary differential equations. Topics are presented with a view toward stressing basic principles and maintaining simplicity and teachability. More advanced topics are referenced in detailed bibliographic notes at the end of each chapter. Contrary to tradition, the text does not include numerical linear algebra or the numerical solution of partial differential equations. Designed for graduate students who have a solid calculus background. Annotation c. by Book News, Inc., Portland, Or.

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