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Basic Numerical Mathematics

Vol. 1: Numerical Analysis

  • Book
  • © 1979

Overview

Authors:
  1. John Todd

    1. California Institute of Technology, USA

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 14)

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Table of contents (10 chapters)

  1. Front Matter

    Pages 1-12
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  2. The Algorithms of Gauss, Borchardt and Carlson

    • John Todd
    Pages 13-23

  3. Orders of Magnitude and Rates of Convergence

    • John Todd
    Pages 24-32

  4. Recurrence Relations for Powers

    • John Todd
    Pages 33-45

  5. The Solution of Equations

    • John Todd
    Pages 46-54

  6. Uniform Convergence and Approximations

    • John Todd
    Pages 55-65

  7. The Acceleration Processes of Aitken and Euler

    • John Todd
    Pages 66-72

  8. Asymptotic Series

    • John Todd
    Pages 73-83

  9. Interpolation

    • John Todd
    Pages 84-96

  10. Quadrature

    • John Todd
    Pages 97-117

  11. Difference Equations, Differentiation and Differential Equations

    • John Todd
    Pages 118-139

  12. Back Matter

    Pages 141-253
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Keywords

About this book

There is no doubt nowadays that numerical mathematics is an essential component of any educational program. It is probably more efficient to present such material after a strong grasp of (at least) linear algebra and calculus has already been attained -but at this stage those not specializing in numerical mathematics are often interested in getting more deeply into their chosen field than in developing skills for later use. An alternative approach is to incorporate the numerical aspects of linear algebra and calculus as these subjects are being developed. Long experience has persuaded us that a third attack on this problem is the best and this is developed in the present two volumes, which are, however, easily adaptable to other circumstances. The approach we prefer is to treat the numerical aspects separately, but after some theoretical background. This is often desirable because of the shortage of persons qualified to present the combined approach and also because the numerical approach provides an often welcome change which, however, in addition, can lead to better appreciation of the fundamental concepts. For instance, in a 6-quarter course in Calculus and Linear Algebra, the material in Volume 1 can be handled in the third quarter and that in Volume 2 in the fifth or sixth quarter.

Authors and Affiliations

  • California Institute of Technology, USA

    John Todd

Bibliographic Information

  • Book Title: Basic Numerical Mathematics

  • Book Subtitle: Vol. 1: Numerical Analysis

  • Authors: John Todd

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-7229-4

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag, Basel 1979

  • Hardcover ISBN: 978-3-7643-0729-5Due: 01 January 1979

  • Softcover ISBN: 978-3-0348-7231-7Published: 12 February 2012

  • eBook ISBN: 978-3-0348-7229-4Published: 13 March 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: 253

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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