Interpolation and Approximation by Rational Functions in the Complex Domain is popular PDF and ePub book, written by J. L. Walsh in 1935-12-31, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Interpolation and Approximation by Rational Functions in the Complex Domain can be Read Online from any device for your convenience.
Interpolation and Approximation by Rational Functions in the Complex Domain Book PDF Summary
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.
Detail Book of Interpolation and Approximation by Rational Functions in the Complex Domain PDF
- Author : J. L. Walsh
- Release : 31 December 1935
- Publisher : American Mathematical Soc.
- ISBN : 9780821810200
- Genre : Mathematics
- Total Page : 418 pages
- Language : English
- PDF File Size : 21,9 Mb
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