Numerical Mathematics

  • Günther Hämmerlin
  • Karl-Heinz Hoffman

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

Table of contents

  1. Front Matter
    Pages i-xi
  2. Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 1-46
  3. Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 47-90
  4. Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 91-117
  5. Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 118-181
  6. Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 182-228
  7. Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 229-271
  8. Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 272-329
  9. Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 330-370
  10. Günther Hämmerlin, Karl-Heinz Hoffman
    Pages 371-404
  11. Back Matter
    Pages 405-425

About this book

Introduction

"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.

Keywords

Algebra Approximation Splines algorithms boundary element method calculus complexity eigenvalue interpolation linear optimization mathematics numerical analysis operator optimization solution

Authors and affiliations

  • Günther Hämmerlin
    • 1
  • Karl-Heinz Hoffman
    • 2
  1. 1.Mathematisches InstitutLudwig-Maximilians-UniversitätMünchen 2Germany
  2. 2.Mathematisches InstitutUniversität AugsburgAugsburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-4442-4
  • Copyright Information Springer-Verlag New York 1991
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-97494-1
  • Online ISBN 978-1-4612-4442-4
  • Series Print ISSN 0172-6056
  • About this book