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Padé Approximants

2nd Edition

$154.99 (C)

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: March 2010
  • availability: Available
  • format: Paperback
  • isbn: 9780521135092

$ 154.99 (C)
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About the Authors
  • This second edition is a comprehensive treatment of all straightforward aspects of Padé approximation, and the authors develop some themes to the level of current research. They extensively cover applications to statistical mechanics and critical phenomena, and there are newly extended sections devoted to circuit design, matrix Padé approximation, computational methods, and integral and algebraic approximants. The new edition also contains a chapter on multiseries approximants. The book contains an extensive bibliography of recent monographs on other specialized material. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike.

    • Most comprehensive treatment available
    • Inclusion of numerical methods
    • Applications to quantum mechanics and field theory
    • Fresh chapter on multiseries approximants
    Read more

    Reviews & endorsements

    "The book is an absolute must for every starting researcher in the area of rational approximation theory....The book is written in smooth progression..." Annie A.M. Cuyt, Mathematical Reviews

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    Product details

    • Edition: 2nd Edition
    • Date Published: March 2010
    • format: Paperback
    • isbn: 9780521135092
    • length: 764 pages
    • dimensions: 234 x 156 x 39 mm
    • weight: 1.05kg
    • availability: Available
  • Table of Contents

    1. Introduction and definitions
    2. Elementary developments
    3. Padé approximants and numerical methods
    4. Connection with continued fractions
    5. Stieltjes series and Polya series
    6. Convergence theory
    7. Extensions of Padé approximants
    8. Multiseries approximants
    9. Connection with integral equations and quantum mechanics
    10. Connection with numerical analysis
    11. Connection with quantum field theory
    Bibliography
    Appendix: a FORTRAN program.

  • Authors

    George A. Baker, Los Alamos National Laboratory

    Peter Graves-Morris, University of Bradford

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