$Interpolation and Approximation with Splines and fractals by Peter Massopust (Senior Research Scientist, Senior Research Scientist, Marie Curie Excellence in Research Team MAMEBIA) at Abbey's Bookshop,$

Interpolation and Approximation with Splines and fractals

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Peter Massopust (Senior Research Scientist, Senior Research Scientist, Marie Curie Excellence in Research Team MAMEBIA)

Interpolation and Approximation with Splines and fractals

Peter Massopust (Senior Research Scientist, Senior Research Scientist, Marie Curie Excellence in Research Team MAMEBIA)

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English

Oxford University Press Inc
18 February 2010

Mathematics; Numerical analysis; Fractal geometry

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.

By: Peter Massopust (Senior Research Scientist Senior Research Scientist Marie Curie Excellence in Research Team MAMEBIA)
Imprint: Oxford University Press Inc
Country of Publication: United States
Dimensions: Height: 242mm, Width: 161mm, Spine: 23mm
Weight: 592g
ISBN: 9780195336542
ISBN 10: 0195336542
Pages: 336
Publication Date: 18 February 2010
Audience: College/higher education , A / AS level
Format: Hardback
Publisher's Status: Out of Stock Indefinitely

Peter Massopust holds a Master of Science in physics and a Ph.D. in applied mathematics. Dr. Massopust is best known for his work in fractal geometry, in particular fractal functions and fractal surfaces, and wavelet theory. His current research interests focus on complex splines and wavelets, and their applications to signal and image processing. He is currently a Senior Research Scientist on the Marie Curie Excellence in Research Team MAMEBIA.

Reviews for Interpolation and Approximation with Splines and fractals

A very valuable addition to the existing literature on the subject and the exposition takes the reader to very recent topics as Besov or Triebel-Lizorkin spaces, as well as their use in the theory of splines and fractals. Highly recommended for students or researchers working in applied fields who need to refresh their tools with current ones. --Libertas Mathematica A useful book, well-written, and covering interesting areas of research in numerical analysis...A comprehensive volume. It is sufficiently introductory to be well readable for the non-expert while at the same time giving many interesting and useful results for the connaisseur. --ZentralblattMath There are several attractive features: historical footnotes sprinkled throughout the book, lots of beautifully designed figures, many well-chosen and easy-to-follow examples, and suggested student projects. The author does a great job in making available to students a set of fundamental topics at the crossroads of