Fractal Functions, Fractal Surfaces, and Wavelets - Rilegato

Massopust, Peter R.

Rilegato

ISBN 10: 012804408X ISBN 13: 9780128044087

Casa editrice: Academic Pr, 2016

Riassunto

Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets. The book is based on Massopust’s work on and contributions to the theory of fractal interpolation, and the author uses a number of tools—including analysis, topology, algebra, and probability theory—to introduce readers to this exciting subject.

Though much of the material presented in this book is relatively current (developed in the past decades by the author and his colleagues) and fairly specialized, an informative background is provided for those entering the field. With its coherent and comprehensive presentation of the theory of univariate and multivariate fractal interpolation, this book will appeal to mathematicians as well as to applied scientists in the fields of physics, engineering, biomathematics, and computer science. In this second edition, Massopust includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, further develops the connections to wavelets and wavelet sets, and deepens and extends the pedagogical content.

• Offers a comprehensive presentation of fractal functions and fractal surfaces
• Includes latest developments in fractal interpolation
• Connects fractal geometry with wavelet theory
• Includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, and further develops the connections to wavelets and wavelet sets
• Deepens and extends the pedagogical content

Su questo libro

Informazioni sull?autore

Peter R. Massopust is a Privatdozent in the Center of Mathematics at the Technical University of Munich, Germany. He received his Ph.D. in Mathematics from the Georgia Institute of Technology in Atlanta, Georgia, USA, and his habilitation from the Technical University of Munich. He worked at several universities in the United States, at the Sandia National Laboratories in Albuquerque (USA), and as a senior research scientist in industry before returning to the academic environment. He has written more than sixty peer-reviewed articles in the mathematical areas of Fourier Analysis, Approximation Theory, Fractals, Splines, and Harmonic Analysis and more than 20 technical reports while working in the non-academic environment. He has authored or coauthored two textbooks and two monographs, and coedited two Contemporary Mathematics Volumes and several Special Issues for peer-reviewed journals. He is on the editorial board of several mathematics journals and has given more than one hundred invited presentations at national and international conferences, workshops, and seminars.

Dalla quarta di copertina

Fractal Functions, Fractal Surfaces, and Wavelets 2^nd edition is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets.

The book is based on Massopust s work on and contributions to the theory of fractal interpolation, and the author uses a number of tools - including analysis, topology, algebra, and probability theory - to introduce readers to this exciting subject. Though much of the material presented in this book is relatively current (developed in the past decades by the author and his colleagues) and fairly specialized, an informative background is provided for those entering the field.

With its coherent and comprehensive presentation of the theory of univariate and multivariate fractal interpolation, this book will appeal to mathematicians as well as to applied scientists in the fields of physics, engineering, biomathematics, and computer science.

In this second edition, Massopust includes pertinent application examples, further discusses local fractal functions and new fractal interpolation techniques, and further develops the connections to wavelets and wavelet sets, as well as deepens and extends the pedagogical content.

Dettagli dell?edizione

• Editore: Academic Pr
• Data di pubblicazione: 2016
• ISBN 10: 012804408X
• ISBN 13: 9780128044087
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero edizione: 2
• Numero di pagine: 426
• Contatto del produttore: non disponibile