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Numerical Analysis

  • Textbook
  • © 1998

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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Keywords

Table of contents (12 chapters)

Authors and Affiliations

  • Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Göttingen, Germany

    Rainer Kress

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

  • 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

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