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Birkhäuser

E.B. Christoffel

The Influence of His Work on Mathematics and the Physical Sciences

  • Book
  • © 1981

Overview

Editors:
  1. P. L. Butzer

    1. Aachen, Germany

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  2. F. Fehér

    1. Aachen, Germany

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Table of contents (77 chapters)

  1. Front Matter

    Pages I-XXV
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  2. Christoffel and His Time

    1. Front Matter

      Pages 1-1
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    2. An Outline of the Life and Work of E.B. Christoffel (1829–1900)

      • Paul L. Butzer
      Pages 2-29

    3. Zur Genealogie E. B. Christoffels

      • Manfred Jansen
      Pages 30-32

    4. Christoffel und die Mathematik an der polytechnischen Schule Zürich

      • Max-Albert Knus
      Pages 33-41

    5. Die Berliner Gewerbeakademie und ihre Mathematiker

      • Eberhard Knobloch
      Pages 42-51

    6. Das Mathematische Seminar der Universität Strassburg 1872–1900

      • Friedrich R. Wollmershäuser
      Pages 52-70

  3. Gauss-Christoffel Quadrature Formulae

    1. Front Matter

      Pages 71-71
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    2. A Survey of Gauss-Christoffel Quadrature Formulae

      • Walter Gautschi
      Pages 72-147

    3. Numeri di Christoffel e polinomi s-ortogonali

      • Alessandro Ossicini, Francesco Rosati
      Pages 148-157

  4. Orthogonal Polynomials, Continued Fractions and Padé Approximation

    1. Front Matter

      Pages 159-159
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    2. Die Bedeutung der Christoffelschen Summenformel für die Entwicklung nach Orthogonalpolynomen

      • J. Meixner
      Pages 160-172

    3. Orthogonal Polynomials which Satisfy Second Order Differential Equations

      • F. V. Atkinson, W. N. Everitt
      Pages 173-181

    4. Über Orthogonalpolynome mit besonderen Eigenschaften

      • Wolfgang Hahn
      Pages 182-189

    5. The Work of E.B. Christoffel on the Theory of Continued Fractions

      • Peter Wynn
      Pages 190-202

    6. A Priori Truncation Error Estimates for Stieltjes Fractions

      • Wolfgang J. Thron
      Pages 203-211

    7. Generalisations of Padé Approximation for Chebyshev and Fourier Series

      • J. S. R. Chisholm, A. K. Common
      Pages 212-231

    8. An Asymptotic, Padé Approximant Method for Legendre Series

      • George A. Baker Jr., J. E. Gubernatis
      Pages 232-242

  5. Christoffel-Schwarz Transformation and Conformal Representation

    1. Front Matter

      Pages 243-243
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    2. Die Bedeutung der Arbeiten Christoffels für die Funktionentheorie

      • Albert Pfluger
      Pages 244-252
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Keywords

Editors and Affiliations

  • Aachen, Germany

    P. L. Butzer, F. Fehér

Bibliographic Information

  • Book Title: E.B. Christoffel

  • Book Subtitle: The Influence of His Work on Mathematics and the Physical Sciences

  • Editors: P. L. Butzer, F. Fehér

  • DOI: https://doi.org/10.1007/978-3-0348-5452-8

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1981

  • Softcover ISBN: 978-3-0348-5453-5Published: 23 August 2014

  • eBook ISBN: 978-3-0348-5452-8Published: 05 October 2013

  • Edition Number: 1

  • Number of Pages: XXV, 761

  • Number of Illustrations: 6 b/w illustrations

  • Topics: Popular Science, general

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