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- Author : Peter R. Massopust
- Publsiher : Academic Press
- Release : 02 September 2016
- ISBN : 0128044705
- Pages : 426 pages
- Rating : 4/5 from 21 reviews

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Read or download book entitled Fractal Functions Fractal Surfaces and Wavelets written by Peter R. Massopust which was release on 02 September 2016, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. Book excerpt: 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

- Author : Peter R. Massopust
- Publisher : Academic Press
- Release Date : 2016-09-02
- Total pages : 426
- ISBN : 0128044705

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**Summary :** 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 ...

- Author : Christoph Bandt,Michael Barnsley,Robert Devaney,Kenneth J. Falconer,V. Kannan,Vinod Kumar P.B.
- Publisher : Springer
- Release Date : 2014-09-27
- Total pages : 508
- ISBN : 0128044705

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**Summary :** Fractals and wavelets are emerging areas of mathematics with many common factors which can be used to develop new technologies. This volume contains the selected contributions from the lectures and plenary and invited talks given at the International Workshop and Conference on Fractals and Wavelets held at Rajagiri School of ...

- Author : Santo Banerjee,D. Easwaramoorthy,A. Gowrisankar
- Publisher : Springer Nature
- Release Date : 2020-12-14
- Total pages : 132
- ISBN : 0128044705

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**Summary :** This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through ...

- Author : N. M. Chuong,L. Nirenberg
- Publisher : World Scientific
- Release Date : 2004
- Total pages : 567
- ISBN : 0128044705

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**Summary :** This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods. Topics include linear elliptic systems for composite material OCo the coefficients may jump from domain to domain; Stochastic Analysis OCo many applied problems involve evolution equations with ...

- Author : N M Chuong,L Nirenberg,W Tutschke
- Publisher : World Scientific
- Release Date : 2004-06-01
- Total pages : 580
- ISBN : 0128044705

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**Summary :** This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods. Topics include linear elliptic systems for composite material — the coefficients may jump from domain to domain; Stochastic Analysis — many applied problems involve evolution equations with random terms, ...

- Author : Marat Akhmet,Mehmet Onur Fen,Ejaily Milad Alejaily
- Publisher : Springer Nature
- Release Date : 2020-01-01
- Total pages : 226
- ISBN : 0128044705

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**Summary :** The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise ...

- Author : Rogers Luke G,Ruiz Patricia Alonso,Teplyaev Alexander,Chen Joe Po-chou
- Publisher : World Scientific
- Release Date : 2020-02-26
- Total pages : 596
- ISBN : 0128044705

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**Summary :** In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to ...

- Author : Santo Banerjee,A. Gowrisankar
- Publisher : CRC Press
- Release Date : 2022-07-07
- Total pages : 182
- ISBN : 0128044705

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**Summary :** The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry. However, nature is not restricted to such Euclidean objects which are only characterized typically by integer dimensions. Hence, the conventional ...

- Author : E. Chandrasekhar,V. P. Dimri,V. M. Gadre
- Publisher : Taylor & Francis
- Release Date : 2013-11-20
- Total pages : 306
- ISBN : 0128044705

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**Summary :** The subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety ...

- Author : Michael F. Barnsley,Dietmar Saupe,Edward R. Vrscay
- Publisher : Springer Science & Business Media
- Release Date : 2012-12-06
- Total pages : 270
- ISBN : 0128044705

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**Summary :** This IMA Volume in Mathematics and its Applications FRACTALS IN MULTIMEDIA is a result of a very successful three-day minisymposium on the same title. The event was an integral part of the IMA annual program on Mathemat ics in Multimedia, 2000-2001. We would like to thank Michael F. Barnsley (Department ...

- Author : Novak Miroslav M,Dewey T G
- Publisher : World Scientific
- Release Date : 1997-03-29
- Total pages : 496
- ISBN : 0128044705

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**Summary :** This popular science book shows that chemists do have a sense of humor, and this book is a celebration of the quirky side of scientific nomenclature. Here, some molecules are shown that have unusual, rude, ridiculous or downright silly names. Written in an easy-to-read style, anyone — not just scientists — can ...

- Author : David R. Larson
- Publisher : American Mathematical Soc.
- Release Date : 2008
- Total pages : 291
- ISBN : 0128044705

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**Summary :** This volume contains articles based on talks presented at the Special Session Frames and Operator Theory in Analysis and Signal Processing, held in San Antonio, Texas, in January of 2006. Recently, the field of frames has undergone tremendous advancement. Most of the work in this field is focused on the design ...

- Author : Lyudmila Alexeyeva
- Publisher : BoD – Books on Demand
- Release Date : 2020-12-09
- Total pages : 148
- ISBN : 0128044705

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**Summary :** Download or read online Mathematical Theorems written by Lyudmila Alexeyeva, published by BoD – Books on Demand which was released on 2020-12-09. Get Mathematical Theorems Books now! Available in PDF, ePub and Kindle....

- Author : Jacques Lévy-Véhel,Evelyne Lutton
- Publisher : Springer Science & Business Media
- Release Date : 2005-12-06
- Total pages : 290
- ISBN : 0128044705

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**Summary :** The application of fractals in the engineering sciences is evolving swiftly and the editors have turned to Springer for the third time to bring you the latest research emerging from the rapid growth in techniques available for the employment of the ideas of fractals and complexity to a variety of ...

- Author : Miroslav M Novak
- Publisher : World Scientific
- Release Date : 2002-02-04
- Total pages : 456
- ISBN : 0128044705

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**Summary :** This book, based on presentations made at the international conference Fractals 2002, is of interest to everyone in the general field of nonlinear dynamics. The abundance of papers from numerous disciplines makes it exciting reading and provides a unifying thread through the topics, such as ray tracing, structure of peptides, modeling ...