Interpolation and Approximation by Rational Functions in the Complex Domain

Walsh

ISBN 10: 0821810200 / ISBN 13: 9780821810200

Verlag: American Mathematical Society, 1935

Beschreibung

Presents functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned. Series: Colloquium Publications. Num Pages: 405 pages. BIC Classification: PB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 254 x 178 x 24. Weight in Grams: 750. . 1935. 3rd. Paperback. . . . . Books ship from the US and Ireland.

Bestandsnummer des Verkäufers V9780821810200

Bibliografische Details

• Titel: Interpolation and Approximation by Rational Functions in the Complex Domain
• Verlag: American Mathematical Society
• Veröffentlichungsdatum: 1935
• Sprache: Englisch
• ISBN-10: 0821810200
• ISBN-13: 9780821810200
• Bindung: Softcover
• Ausgabe: 3. Auflage
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.