Pade Approximants

Revised
ISBN: 978-0-521-13509-2
Verlag: Cambridge University Press

Buch, Englisch, Band 59, 764 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1138 g

Reihe: Encyclopedia of Mathematics and its Applications

• Most comprehensive treatment available
• Inclusion of numerical methods
• Applications to quantum mechanics and field theory
• Fresh chapter on multiseries approximants
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.

Autoren/Hrsg.

Baker, George Augustus Jr.

Baker, George A.

Graves-Morris, Peter

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Quantenphysik

Inhaltsverzeichnis

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.