Title:
Pade approximants
Personal Author:
Series:
Encyclopedia of mathematics and its applications; v59
Edition:
2nd ed
Publication Information:
Cambridge : Cambridge University Press, 1996
ISBN:
9780521450072
Added Author:
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000003761222 | QC20.7.P3 B33 1996 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
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.
Table of Contents
| 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 |
