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Numerical Mathematics

  • Textbook
  • © 1991

Overview

Authors:
  1. Günther Hämmerlin

    1. Mathematisches Institut, Ludwig-Maximilians-Universität, München 2, Germany

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  2. Karl-Heinz Hoffman

    1. Mathematisches Institut, Universität Augsburg, Augsburg, Germany

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Undergraduate Texts in Mathematics (UTM)

Part of the book sub series: Readings in Mathematics (READINMATH)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Computing

    • Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 1-46

  3. Linear Systems of Equations

    • Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 47-90

  4. Eigenvalues

    • Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 91-117

  5. Approximation

    • Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 118-181

  6. Interpolation

    • Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 182-228

  7. Splines

    • Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 229-271

  8. Integration

    • Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 272-329

  9. Iteration

    • Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 330-370

  10. Linear Optimization

    • Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 371-404

  11. Back Matter

    Pages 405-425
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Keywords

About this book

"In truth, it is not knowledge, but learning, not possessing, but production, not being there, but travelling there, which provides the greatest pleasure. When I have completely understood something, then I turn away and move on into the dark; indeed, so curious is the insatiable man, that when he has completed one house, rather than living in it peacefully, he starts to build another. " Letter from C. F. Gauss to W. Bolyai on Sept. 2, 1808 This textbook adds a book devoted to applied mathematics to the series "Grundwissen Mathematik. " Our goals, like those of the other books in the series, are to explain connections and common viewpoints between various mathematical areas, to emphasize the motivation for studying certain prob­ lem areas, and to present the historical development of our subject. Our aim in this book is to discuss some of the central problems which arise in applications of mathematics, to develop constructive methods for the numerical solution of these problems, and to study the associated questions of accuracy. In doing so, we also present some theoretical results needed for our development, especially when they involve material which is beyond the scope of the usual beginning courses in calculus and linear algebra. This book is based on lectures given over many years at the Universities of Freiburg, Munich, Berlin and Augsburg.

Authors and Affiliations

  • Mathematisches Institut, Ludwig-Maximilians-Universität, München 2, Germany

    Günther Hämmerlin

  • Mathematisches Institut, Universität Augsburg, Augsburg, Germany

    Karl-Heinz Hoffman

Bibliographic Information

  • Book Title: Numerical Mathematics

  • Authors: Günther Hämmerlin, Karl-Heinz Hoffman

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-4442-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1991

  • Softcover ISBN: 978-0-387-97494-1Published: 09 January 1991

  • eBook ISBN: 978-1-4612-4442-4Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 1

  • Number of Pages: XII, 425

  • Additional Information: Original German edition published as Band 7 of the series: Grundwissen Mathematik

  • Topics: Numerical Analysis

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