Del 59 - Encyclopedia of Mathematics and its Applications

Padé Approximants

Inbunden, Engelska, 1996

Av George A. Baker Jr, Peter Graves-Morris, George A. Baker, George A. (Los Alamos National Laboratory) Baker, Peter (University of Bradford) Graves-Morris, Susan S. Baker, Baker George a.

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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.

Produktinformation

Utgivningsdatum1996-01-26
Mått162 x 241 x 52 mm
Vikt1 188 g
FormatInbunden
SpråkEngelska
SerieEncyclopedia of Mathematics and its Applications
Antal sidor764
Upplaga2
FörlagCambridge University Press
ISBN9780521450072

Tillhör följande kategorier

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.