Overview
- Good introduction to an area experiencing rapid development for those in math, physics, and engineering.
- Gives a solid foundation by restricting the presentation to the basic principles and procedures, as well as the primary numerical algorithms.
- Includes the necessary functional analytic framework for a solid mathematical foundation in the subject.
- Gives particular emphasis to the question of stability.
- Presented in a concise and easily understandable fashion.
Part of the book series: Graduate Texts in Mathematics (GTM, volume 181)
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About this book
No applied mathematician can be properly trained without some basic un derstanding ofnumerical methods, Le., numerical analysis. And no scientist and engineer should be using a package program for numerical computa tions without understanding the program's purpose and its limitations. This book is an attempt to provide some of the required knowledge and understanding. It is written in a spirit that considers numerical analysis not merely as a tool for solving applied problems but also as a challenging and rewarding part of mathematics. The main goal is to provide insight into numerical analysis rather than merely to provide numerical recipes. The book evolved from the courses on numerical analysis I have taught since 1971 at the University ofGottingen and may be viewed as a successor of an earlier version jointly written with Bruno Brosowski [10] in 1974. It aims at presenting the basic ideas of numerical analysis in a style as concise as possible. Its volume is scaled to a one-yearcourse, i.e., a two-semester course, addressing second-yearstudents at a German university or advanced undergraduate or first-year graduate students at an American university.
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
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Bibliographic Information
Book Title: Numerical Analysis
Authors: Rainer Kress
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4612-0599-9
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1998
Hardcover ISBN: 978-0-387-98408-7Published: 17 April 1998
Softcover ISBN: 978-1-4612-6833-8Published: 27 September 2012
eBook ISBN: 978-1-4612-0599-9Published: 06 December 2012
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: XII, 326
Topics: Numerical Analysis, Mathematical and Computational Engineering