Padé Approximants

• 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.

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