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Spline Functions: Basic Theory

Spline Functions: Basic Theory

3rd Edition

$93.00 (P)

Part of Cambridge Mathematical Library

  • Date Published: September 2007
  • availability: Available
  • format: Paperback
  • isbn: 9780521705127

$ 93.00 (P)

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About the Authors
  • This classic work continues to offer a comprehensive treatment of the theory of univariate and tensor-product splines. It will be of interest to researchers and students working in applied analysis, numerical analysis, computer science, and engineering. The material covered provides the reader with the necessary tools for understanding the many applications of splines in such diverse areas as approximation theory, computer-aided geometric design, curve and surface design and fitting, image processing, numerical solution of differential equations, and increasingly in business and the biosciences. This new edition includes a supplement outlining some of the major advances in the theory since 1981, and some 250 new references. It can be used as the main or supplementary text for courses in splines, approximation theory or numerical analysis.

    • Comprehensive reference, with preparatory material on polynomials, Tchebycheff systems etc, plus historical notes and comments, and comprehensive list of references
    • Includes efficent algorithms for evaluating B-splines, treats generalized splines, gives full account of approximation properties of splines
    • New supplement helps keep the book up to date
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    Reviews & endorsements

    '… highly useful …' Zentralblatt MATH

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    Product details

    • Edition: 3rd Edition
    • Date Published: September 2007
    • format: Paperback
    • isbn: 9780521705127
    • length: 600 pages
    • dimensions: 229 x 152 x 31 mm
    • weight: 0.79kg
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Preliminaries
    3. Polynomials
    4. Polynomial splines
    5. Computational methods
    6. Approximation power of splines
    7. Approximation power of splines (free knots)
    8. Other spaces of polynomial splines
    9. Tchebycheffian splines
    10. L-Splines
    11. Generalized splines
    12. Tensor-product splines
    13. Some multidimensional tools
    New references

  • Author

    Larry Schumaker, Vanderbilt University, Tennessee
    Larry L. Schumaker has been the Stevenson Professor of Mathematics at Vanderbilt University since 1988. he has held visiting positions in Munich, Berlin, Wurzburg, Wisconsin and Sao Paulo, and faculty positions at the University of Texas, Austin, and Texas A&M University. He has published over 160 research papers, edited 32 proceedings volumes, and translated four works, as well as authoring two books.

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