Pade近似（第２版） Padé Approximants (Encyclopedia of Mathematics and its Applications) （2ND）

Baker, George A./ Graves-Morris, Peter

Cambridge University Press（1996/01発売）

• 製本 Hardcover:ハードカバー版／ページ数 764 p.
• 言語 ENG
• 商品コード 9780521450072
• DDC分類 515.235

基本説明

New in paperback. Hardcover was published in 1996. The first edition of this book was reviewed in 1982 as ‘the most extensive treatment of Pade approximants actually available’. This 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.

Full Description

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.

Contents

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.