Format:
1 Online-Ressource (xiv, 746 pages)
,
digital, PDF file(s).
Edition:
Second edition.
ISBN:
9780511530074
Series Statement:
Encyclopedia of mathematics and its applications volume 59
Content:
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.
Content:
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 approximations -- 8. Multiseries approximants -- 9. Connection with integral equations and quantum mechanics -- 10. Connection with numerical analysis -- 11. Connection with quantum field theory -- Appendix: A FORTRAN FUNCTION
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521135092
Additional Edition:
ISBN 9780521450072
Additional Edition:
ISBN 9780521450072
Additional Edition:
ISBN 9780521135092
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521450072
Language:
English
DOI:
10.1017/CBO9780511530074
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