Interpolation and Approximation with Splines and Fractals

Interpolation and Approximation with Splines and Fractals
Author :
Publisher :
Total Pages : 344
Release :
ISBN-10 : UCSD:31822037437092
ISBN-13 :
Rating : 4/5 ( Downloads)

Book Synopsis Interpolation and Approximation with Splines and Fractals by : Peter Robert Massopust

Download or read book Interpolation and Approximation with Splines and Fractals written by Peter Robert Massopust and published by . This book was released on 2010 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Interpolation and Approximation with Splines and Fractals Related Books

Interpolation and Approximation with Splines and Fractals
Language: en
Pages: 344
Authors: Peter Robert Massopust
Categories: Computers
Type: BOOK - Published: 2010 - Publisher:

GET EBOOK

This textbook is intended to supplement the classical theory of uni- and multivariate splines and their approximation and interpolation properties with those of
Frontiers in Industrial and Applied Mathematics
Language: en
Pages: 659
Authors: Rajesh Kumar Sharma
Categories: Mathematics
Type: BOOK - Published: 2023-02-02 - Publisher: Springer Nature

GET EBOOK

This book publishes select papers presented at the 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2021), held at the Sant
Analysis, Probability And Mathematical Physics On Fractals
Language: en
Pages: 594
Authors: Patricia Alonso Ruiz
Categories: Mathematics
Type: BOOK - Published: 2020-02-26 - Publisher: World Scientific

GET EBOOK

In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing th
Fractal Geometry
Language: en
Pages: 404
Authors: Kenneth Falconer
Categories: Mathematics
Type: BOOK - Published: 2014-02-03 - Publisher: John Wiley & Sons

GET EBOOK

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent d
Fractal Functions, Fractal Surfaces, and Wavelets
Language: en
Pages: 428
Authors: Peter R. Massopust
Categories: Mathematics
Type: BOOK - Published: 2016-09-02 - Publisher: Academic Press

GET EBOOK

Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fr