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Padé Approximants

Padé Approximants

2nd Edition


Part of Encyclopedia of Mathematics and its Applications

  • Date Published: March 1996
  • availability: Available
  • format: Hardback
  • isbn: 9780521450072

£ 163.00

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About the Authors
  • The first edition of this book was reviewed in 1982 as 'the most extensive treatment of Padé approximants actually available'. This second edition has been thoroughly updated, with a substantial chapter on multiseries approximants. Applications to statistical mechanics and critical phenomena are extensively covered, and there are extended sections devoted to circuit design, matrix Pade approximation, and computational methods. 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

    Review of the hardback: 'There can only be one conclusion: this book is indispensable to the researcher and the would-be researcher in the field of Padé approximation … one can only feel great admiration for the authors: they have done a splendid job incorporating all major developments in the theory and application of Padé approximation over the latest 15 years! Mathematika

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    Product details

    • Edition: 2nd Edition
    • Date Published: March 1996
    • format: Hardback
    • isbn: 9780521450072
    • length: 764 pages
    • dimensions: 242 x 164 x 54 mm
    • weight: 1.18kg
    • 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
    Appendix: a FORTRAN program.

  • Authors

    George A. Baker, Los Alamos National Laboratory

    Peter Graves-Morris, University of Bradford

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