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Interpolation and Approximation by Rational Functions in the Complex Domain (Colloquium Publications) - Tapa blanda

 
9780821810200: Interpolation and Approximation by Rational Functions in the Complex Domain (Colloquium Publications)

Sinopsis

The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation), Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series - the title ""Generalizations of Taylor's Series"" would be appropriate.

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Reseña del editor

The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation), Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series - the title ""Generalizations of Taylor's Series"" would be appropriate.

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J. L. Walsh
Publicado por American Mathematical Society, 2008
ISBN 10: 0821810200 ISBN 13: 9780821810200
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Librería: Zubal-Books, Since 1961, Cleveland, OH, Estados Unidos de America

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Condición: Very Good. *FREE DOMESTIC SHIPPING until Monday, Sept. 22* 2008 printing (same isbn), 405 pp., paperback, some fading to spine else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Nº de ref. del artículo: ZB1325296

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