Book contents
- Frontmatter
- Contents
- Preface
- Preface to the first edition
- 1 Introduction and definitions
- 2 Elementary developments
- 3 Padé approximants and numerical methods
- 4 Connection with continued fractions
- 5 Stieltjes series and Pólya 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
- Appendix: A FORTRAN FUNCTION
- Bibliography
- Index
Preface
Published online by Cambridge University Press: 29 September 2009
- Frontmatter
- Contents
- Preface
- Preface to the first edition
- 1 Introduction and definitions
- 2 Elementary developments
- 3 Padé approximants and numerical methods
- 4 Connection with continued fractions
- 5 Stieltjes series and Pólya 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
- Appendix: A FORTRAN FUNCTION
- Bibliography
- Index
Summary
We are glad that the first edition of these volumes is thought to have achieved its main aim of making mathematical techniques more available, not only to mathematicians, but also to the wider scientific and engineering community.
We have been glad to take the opportunity provided by this edition to incorporate the most salient aspects of the large body of new results which have been obtained since the publication of the original edition. The incorporation of this new material has led to the need to make several significant rearrangements of the previous material.
We wish to record our gratitude for the mathematical contributions and company of Arne Magnus and Helmut Werner, both of them friends who are missed by many of us. The influence of their work is to be found in Chapter 4.
A few infelicities which have been noticed in the original edition have been corrected.
- Type
- Chapter
- Information
- Padé Approximants , pp. xi - xiiPublisher: Cambridge University PressPrint publication year: 1996