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9780521135092

Padé Approximants

by
  • ISBN13:

    9780521135092

  • ISBN10:

    0521135095

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2010-03-11
  • Publisher: Cambridge University Press

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Supplemental Materials

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Summary

This second edition is a comprehensive treatment of all straightforward aspects of Pad_ 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 Pad_ 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.

Table of Contents

Introduction and definitions
Elementary developments
Padé approximants and numerical methods
Connection with continued fractions
Stieltjes series and Polya series
Convergence theory
Extensions of Padé approximants
Multiseries approximants
Connection with integral equations and quantum mechanics
Connection with numerical analysis
Connection with quantum field theory
Bibliography
Appendix: a FORTRAN program
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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