Padé Approximants (Encyclopedia of Mathematics and its Applications) Hardcover - 1996 - 2nd Edition
by Baker Jr, George A.; Graves-Morris, Peter
From the rear cover
The Pade approximant of a given power series is a rational function of numerator degree L and denominator degree M whose power series agrees with the given one up to degree L + M inclusively. A collection of Pade approximants formed by using a suitable set of values of L and M often provides a means of obtaining information about the function outside its circle of convergence, and of more rapidly evaluating the function within its circle of convergence. Applications of these ideas in physics, chemistry, electrical engineering, and other areas have led to a large number of generalizations of Pade approximants that are tailor-made for specific applications. Applications to statistical mechanics and critical phenomena are extensively covered, and there are newly extended sections devoted to circuit design, matrix Pade approximation, computational methods, and integral and algebraic approximants. The book is written with a smooth progression from elementary ideas to some of the frontiers of research in approximation theory. Its main purpose is to make the various techniques described accessible to scientists, engineers, and other researchers who may wish to use them, while also presenting the rigorous mathematical theory.
Details
- Title Padé Approximants (Encyclopedia of Mathematics and its Applications)
- Author Baker Jr, George A.; Graves-Morris, Peter
- Binding Hardcover
- Edition number 2nd
- Edition 2
- Pages 764
- Language ENG
- Publisher Cambridge University Press, New York
- Date 1996-01
- Features Bibliography
- ISBN 9780521450072
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Pade Approximants: Vol 59
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Padé Approximants (Encyclopedia of Mathematics and its Applications, Series Number 59)
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Padé Approximants (Encyclopedia of Mathematics and its Applications, Series Number 59)
by Baker Jr, George A.; Graves-Morris, Peter
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- 9780521450072 / 0521450071
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