Padé Approximants: 59 (Encyclopedia of Mathematics and its Applications, Series Number 59) - Hardcover

Baker Jr, George A.; Graves-Morris, Peter

 
9780521450072: Padé Approximants: 59 (Encyclopedia of Mathematics and its Applications, Series Number 59)

Synopsis

Thoroughly updated, with material on multiseries approximants, circuit design, matrix Padé approximation and computational methods.

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From the Back 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.

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Other Popular Editions of the Same Title

9780521135092: Pade Approximants: 59 (Encyclopedia of Mathematics and its Applications, Series Number 59)

Featured Edition

ISBN 10:  0521135095 ISBN 13:  9780521135092
Publisher: Cambridge University Press, 2010
Softcover