Interpolation and Approximation with Splines and fractals
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47 775 Ft
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Product details:
- Publisher OUP USA
- Date of Publication 18 February 2010
- ISBN 9780195336542
- Binding Hardback
- No. of pages336 pages
- Size 160x234x22 mm
- Weight 590 g
- Language English
- Illustrations 79 black and white line illustrations 0
Categories
Short description:
This unique textbook emphasizes the communalities between splines and fractals in interpolation and approximation theory, with particular emphasis on fractal functions and fractal surfaces. It presents the classical theory of splines and their properties, and also gives an introduction to the burgeoning new theory of superfractals and superfractal functions.
MoreLong description:
This textbook is intended to supplement the classical theory of uni- and multivariate splines and their approximation and interpolation properties with those of fractals, fractal functions, and fractal surfaces. This synthesis will complement currently required courses dealing with these topics and expose the prospective reader to some new and deep relationships. In addition to providing a classical introduction to the main issues involving approximation and interpolation with uni- and multivariate splines, cardinal and exponential splines, and their connection to wavelets and multiscale analysis, which comprises the first half of the book, the second half will describe fractals, fractal functions and fractal surfaces, and their properties. This also includes the new burgeoning theory of superfractals and superfractal functions. The theory of splines is well-established but the relationship to fractal functions is novel. Throughout the book, connections between these two apparently different areas will be exposed and presented. In this way, more options are given to the prospective reader who will encounter complex approximation and interpolation problems in real-world modeling. Numerous examples, figures, and exercises accompany the material.
MoreTable of Contents:
The General Interpolation and Approximation Problem
Splines
Interpolation in Rs, s > 1
Fractals
Fractal Functions
Fractal Surfaces
Superfractals
Superfractal Functions
