Padé Approximants

ISBN-13: 9780521450072 / Angielski / Twarda / 1996 / 764 str.

George A. Baker; Jr. Baker; G. -C Rota

Opis

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

Recenzje

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

Spis treści

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.