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Padé Approximants

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Padé Approximants

Padé Approximants

2nd Edition
George A. Baker, Los Alamos National Laboratory
Peter Graves-Morris, University of Bradford
March 2010
Available
Paperback
9780521135092
    Beskrivning

    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

    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

    See more reviews

    Product details

    March 2010
    Paperback
    9780521135092
    764 pages
    234 × 156 × 38 mm
    1.1kg
    Available

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    Contents

    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.
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    Additional Information
    About the authors
      Authors
    • George A. Baker , Los Alamos National Laboratory
    • Peter Graves-Morris , University of Bradford

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