Padé Approximants
Padé Approximants
This second edition is a comprehensive treatment of all straightforward aspects of Padé 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 Padé 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.
- 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
Product details
March 2010Paperback
9780521135092
764 pages
234 × 156 × 38 mm
1.1kg
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
- Bibliography
- Appendix: a FORTRAN program.
