Fractal Functions Fractal Surfaces and Wavelets

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

Produk Detail:

  • Author : Peter R. Massopust
  • Publisher : Academic Press
  • Pages : 426 pages
  • ISBN : 0128044705
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKFractal Functions Fractal Surfaces and Wavelets

Fractal Functions, Fractal Surfaces, and Wavelets

Fractal Functions, Fractal Surfaces, and Wavelets
  • Author : Peter R. Massopust
  • Publisher : Academic Press
  • Release : 02 September 2016
GET THIS BOOKFractal Functions, Fractal Surfaces, and Wavelets

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

Wavelets, Fractals, and Fourier Transforms

Wavelets, Fractals, and Fourier Transforms
  • Author : M. Farge,Julian C. R. Hunt,J. C. Vassilicos,Institute of Mathematics and Its Applications,Société de mathématiques appliquées et industrielles
  • Publisher : Unknown Publisher
  • Release : 17 October 1993
GET THIS BOOKWavelets, Fractals, and Fourier Transforms

Recently there have been many developments and new applications of mathematical techniques for describing complex algebraic functions and analysing empirical continuous data derived from many different types of signal, for example turbulent flowa, oil well logs, electrical signals from the eyeetc. Probably the most important and rapidly developing of these techniques involve Fourier methods, fractals and wavelets. This international conference on these developments provides a useful introduction to the mathematics of wavelets, fractals, and Fourier Transforms, and to their manyapplications.

Fractals, Wavelets, and their Applications

Fractals, Wavelets, and their Applications
  • Author : Christoph Bandt,Michael Barnsley,Robert Devaney,Kenneth J. Falconer,V. Kannan,Vinod Kumar P.B.
  • Publisher : Springer
  • Release : 27 September 2014
GET THIS BOOKFractals, Wavelets, and their Applications

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 Engineering and Technology, India from November 9-12, 2013. Written by experts, the contributions hope to inspire and motivate researchers working in this area. They provide more insight into the areas of

Interpolation and Approximation with Splines and Fractals

Interpolation and Approximation with Splines and Fractals
  • Author : Peter Robert Massopust
  • Publisher : Oxford University Press, USA
  • Release : 17 October 2021
GET THIS BOOKInterpolation and Approximation with Splines and Fractals

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.

Abstract and Applied Analysis

Abstract and Applied Analysis
  • Author : N. M. Chuong,L. Nirenberg
  • Publisher : World Scientific
  • Release : 17 October 2021
GET THIS BOOKAbstract and Applied Analysis

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 random terms, leading to the use of stochastic analysis. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC

Abstract and Applied Analysis

Abstract and Applied Analysis
  • Author : N M Chuong,L Nirenberg,W Tutschke
  • Publisher : World Scientific
  • Release : 01 June 2004
GET THIS BOOKAbstract and Applied Analysis

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, leading to the use of stochastic analysis. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences

Dynamics with Chaos and Fractals

Dynamics with Chaos and Fractals
  • Author : Marat Akhmet,Mehmet Onur Fen,Ejaily Milad Alejaily
  • Publisher : Springer Nature
  • Release : 01 January 2020
GET THIS BOOKDynamics with Chaos and Fractals

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 to the existence of chaos in the quasi-minimal set. This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is

Analysis, Probability And Mathematical Physics On Fractals

Analysis, Probability And Mathematical Physics On Fractals
  • Author : Rogers Luke G,Ruiz Patricia Alonso,Teplyaev Alexander,Chen Joe Po-chou
  • Publisher : World Scientific
  • Release : 26 February 2020
GET THIS BOOKAnalysis, Probability And Mathematical Physics On Fractals

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 address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related

Wavelets and Fractals in Earth System Sciences

Wavelets and Fractals in Earth System Sciences
  • Author : E. Chandrasekhar,V. P. Dimri,V. M. Gadre
  • Publisher : Taylor & Francis
  • Release : 20 November 2013
GET THIS BOOKWavelets and Fractals in Earth System Sciences

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 of applications w

Emergent Nature

Emergent Nature
  • Author : Miroslav M Novak
  • Publisher : World Scientific
  • Release : 04 February 2002
GET THIS BOOKEmergent Nature

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 fractal surfaces, cancer growth, macaque monkey cortical neurons, occurrence of earthquakes, and patterns of the World Wide Web. Contents: Modeling Cerebellar Dynamics (M G Velarde et al.)Two and Three

Fractal Frontiers: Fractals In The Natural And Applied Sciences

Fractal Frontiers: Fractals In The Natural And Applied Sciences
  • Author : Novak Miroslav M,Dewey T G
  • Publisher : World Scientific
  • Release : 29 March 1997
GET THIS BOOKFractal Frontiers: Fractals In The Natural And Applied Sciences

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 appreciate the content. Each molecule is illustrated with a photograph and/or image that relates directly or indirectly to its name and molecular structure. Thus, the book is not only

Multiscale Wavelet Methods for Partial Differential Equations

Multiscale Wavelet Methods for Partial Differential Equations
  • Author : Wolfgang Dahmen,Andrew Kurdila,Peter Oswald
  • Publisher : Elsevier
  • Release : 13 August 1997
GET THIS BOOKMultiscale Wavelet Methods for Partial Differential Equations

This latest volume in the Wavelets Analysis and Its Applications Series provides significant and up-to-date insights into recent developments in the field of wavelet constructions in connection with partial differential equations. Specialists in numerical applications and engineers in a variety of fields will find Multiscale Wavelet for Partial Differential Equations to be a valuable resource. Covers important areas of computational mechanics such as elasticity and computational fluid dynamics Includes a clear study of turbulence modeling Contains recent research on multiresolution

Fractals in Engineering

Fractals in Engineering
  • Author : Jacques Lévy-Véhel,Evelyne Lutton
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2005
GET THIS BOOKFractals in Engineering

The use of fractals in engineering is evolving swiftly and the editors have turned to Springer for the third time to bring you the latest research emerging from the growth in techniques available for the application of the ideas of fractals and complexity to a variety of engineering fields. The potential of this research can be seen in real industrial situations with recent progress being made in areas such as chemical engineering, Internet traffic, physics and finance. Signal and image