Pade Approximants (Encyclopedia of Mathematics & Its Applications, Band 59) - Hardcover

Baker, George A.; Baker, Susan S.; George A., Baker

Hardcover

ISBN 10: 0521450071 ISBN 13: 9780521450072

Verlag: Cambridge University Press, 1996

Inhaltsangabe

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

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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 zur Ausgabe

• Verlag: Cambridge University Press
• Erscheinungsdatum: 1996
• Sprache: Englisch
• ISBN 10: 0521450071
• ISBN 13: 9780521450072
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 764
• Kontakt zum Hersteller: preigu GmbH & Co. KG; mail@preigu.de; ; Lengericher Landstr. 19; Osnabrück; Niedersachsen; 49078; Deutschland