Padé approximants
著者
書誌事項
Padé approximants
（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 59）
Cambridge University Press, 2010
2nd ed
- : pbk
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注記
2nd ed. published 1996
First edition originally published in two volumes by Addison-Wesley, 1982
Bibliography: p. 695-740
Includes index
内容説明・目次
内容説明
The first edition of this book was reviewed in 1982 as 'the most extensive treatment of Pade 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.
目次
- 1. Introduction and definitions
- 2. Elementary developments
- 3. Pade approximants and numerical methods
- 4. Connection with continued fractions
- 5. Stieltjes series and Polya series
- 6. Convergence theory
- 7. Extensions of Pade 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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