Pade Approximants (Paperback, 2 Revised edition)

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.