Interpolation and Approximation by Rational Functions in the Complex Domain (COLLOQUIUM PUBLICATIONS (AMER MATHEMATICAL SOC))

J. L. Walsh

ISBN 10: 0821810200 / ISBN 13: 9780821810200

Editore: American Mathematical Society, 2008

Riguardo questo articolo

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. Codice articolo ZB1325296

Dati bibliografici

Titolo: Interpolation and Approximation by Rational ...

Casa editrice: American Mathematical Society

Data di pubblicazione: 2008

Legatura: Brossura

Condizione: Very Good

Edizione: terza edizione

Descrizione articolo

Riassunto:

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.