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.
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.
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