Fractals In The Fundamental And Applied Sciences

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Fractals in the Fundamental and Applied Sciences

Author : Heinz-Otto Peitgen
Publisher : North Holland
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fractals in the Fundamental and Applied Sciences by : Heinz-Otto Peitgen

Download or read book Fractals in the Fundamental and Applied Sciences written by Heinz-Otto Peitgen and published by North Holland. This book was released on 1991 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the first IFIP conference on fractals. The mathematical concept of fractal was coined by B.B. Mandelbrot in the early seventies to characterize objects with self-similar structures at all levels. Now the field of fractals is being subject to intensive research and an extensive growth of applications in many sciences. This first IFIP conference, intended as a start of periodic conferences on fractals, enables a productive cross fertilization of ideas among specialists in fractals and in information processing. In addition to the volume's 44 colour illustrations, on page v is a rare view of fractals and the Portuguese architecture at the time of the navigators, produced by Master Lima de Freitas, a leading Portuguese artist and member of the conference organizing committee. The design illustrates the symbiosis of mathematics and human artifacts represented by the real world.

Fractals

Author : Harold M. Hastings
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fractals by : Harold M. Hastings

Download or read book Fractals written by Harold M. Hastings and published by Oxford University Press, USA. This book was released on 1993 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals: A User's Guide for the Natural Sciences explains Mandelbrot's fractal geometry and describes some of its applications in the natural world. Written to enable students and researchers to master the methods of this timely subject, the book steers a middle course between the formality of many papers in mathematics and the informality of picture-orientated books on fractals. It is both a logically developed text and an essential `fractals for users' handbook.

Fundamental and Applied Scientific Research in the Development of Agriculture in the Far East (AFE-2022)

Author : Khasanov Sayidjakhon Zokirjon ugli
Publisher : Springer Nature
ISBN 13 : 3031369602
Total Pages : 1029 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Fundamental and Applied Scientific Research in the Development of Agriculture in the Far East (AFE-2022) by : Khasanov Sayidjakhon Zokirjon ugli

Download or read book Fundamental and Applied Scientific Research in the Development of Agriculture in the Far East (AFE-2022) written by Khasanov Sayidjakhon Zokirjon ugli and published by Springer Nature. This book was released on 2023-07-29 with total page 1029 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a collection of scientific research in the field of agriculture cyber-physical systems (ACPSs). The methods and tools for agricultural systems design, estimation and monitoring are proposed in this book. The book presents technical developments in the robotics and IoT sector, new solutions with drones, sensors and smart agriculture machines, solutions to digitize the farmer's life by delivering holistic management platforms and monitoring systems, as well as studies devoted to the field mapping. Research on creating a digital twin of the supply chain to predict the near-future state of the supply chain are also presented in this book. The book contains proceedings of the conference "Fundamental and Applied Scientific Research in the Development of Agriculture in the Far East" (AFE-2022, Tashkent, Uzbekistan). The book allows optimizing agricultural production, maximizes their yield and minimizes losses with efficient use of resources and decreases skilled labor.

Fractal Frontiers: Fractals In The Natural And Applied Sciences

Author : Miroslav M Novak
Publisher : World Scientific
ISBN 13 : 9814546062
Total Pages : 500 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Fractal Frontiers: Fractals In The Natural And Applied Sciences by : Miroslav M Novak

Download or read book Fractal Frontiers: Fractals In The Natural And Applied Sciences written by Miroslav M Novak and published by World Scientific. This book was released on 1997-03-29 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, science has developed by reducing complex situations to simple ones, analyzing the components and synthesizing the original situation. While this 'reductionist' approach has been extremely successful, there are phenomena of such complexity that one cannot simplify them without eliminating the problem itself. Recently, attention has turned to such problems in a wide variety of fields. This is in part due to the development of fractal geometry. Fractal geometry provides the mathematical tools for handling complexity. The present volume is a collection of papers that deal with the application of fractals in both traditional scientific disciplines and in applied fields. This volume shows the advance of our understanding of complex phenomena across a spectrum of disciplines. While these diverse fields work on very different problems, fractals provide a unifying formalism for approaching these problems.

Fractal Reviews in the Natural and Applied Sciences

Author : M.M. Novak
Publisher : CRC Press
ISBN 13 : 9780412710209
Total Pages : 414 pages
Book Rating : 4.7/5 (12 download)

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Book Synopsis Fractal Reviews in the Natural and Applied Sciences by : M.M. Novak

Download or read book Fractal Reviews in the Natural and Applied Sciences written by M.M. Novak and published by CRC Press. This book was released on 1995-08-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains state of the art contributions to this rapidly growing research area. It will be of essential value to mathematicians, physicists and engineers working in the fields of fractals and related phenomena and to researchers working in medicine and the life sciences.

Fractals in the Natural and Applied Sciences

Author : Miroslav Michal Novak
Publisher : North Holland
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fractals in the Natural and Applied Sciences by : Miroslav Michal Novak

Download or read book Fractals in the Natural and Applied Sciences written by Miroslav Michal Novak and published by North Holland. This book was released on 1994 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals are intimately related to the nonlinear processes in nature. Whereas studies of dynamics may lead to the chaotic phenomena, analysis of the underlying geometry leads to fractals. Currently, the field of fractals represents a fast developing research area.This publication contains state-of-the-art contributions exploring a spread of applications right across the disciplines, from physics and mathematics, through astronomy, biophysics, ecology and geography to image processing, medicine and turbulence. It will prove a valuable addition to the library of many a scientist interested in the field of fractals and related phenomena.

Measure, Topology, and Fractal Geometry

Author : Gerald A. Edgar
Publisher : Springer Science & Business Media
ISBN 13 : 1475741340
Total Pages : 252 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Measure, Topology, and Fractal Geometry by : Gerald A. Edgar

Download or read book Measure, Topology, and Fractal Geometry written by Gerald A. Edgar and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. However, the book also contains many good illustrations of fractals (including 16 color plates), together with Logo programs which were used to generate them. ... Here then, at last, is an answer to the question on the lips of so many: 'What exactly is a fractal?' I do not expect many of this book's readers to achieve a mature understanding of this answer to the question, but anyone interested in finding out about the mathematics of fractal geometry could not choose a better place to start looking." #Mathematics Teaching#1

Chaos and Fractals

Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 1475747403
Total Pages : 1013 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Chaos and Fractals by : Heinz-Otto Peitgen

Download or read book Chaos and Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 1013 pages. Available in PDF, EPUB and Kindle. Book excerpt: For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.

Fractal Analysis - Applications and Updates

Author : Sid-Ali Ouadfeul
Publisher : BoD – Books on Demand
ISBN 13 : 1837696136
Total Pages : 204 pages
Book Rating : 4.8/5 (376 download)

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Book Synopsis Fractal Analysis - Applications and Updates by : Sid-Ali Ouadfeul

Download or read book Fractal Analysis - Applications and Updates written by Sid-Ali Ouadfeul and published by BoD – Books on Demand. This book was released on 2024-04-24 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes ten chapters that discuss applications and updates in fractal analysis across the full spectrum of sciences, including mathematical concepts, cities, material physics, medicine, climate, and image processing. It is a valuable source of knowledge for researchers and students working on fractal analysis and its applications.

Fractals in Soil Science

Author : Y. Pachepsky
Publisher : Elsevier
ISBN 13 : 0080531970
Total Pages : 305 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Fractals in Soil Science by : Y. Pachepsky

Download or read book Fractals in Soil Science written by Y. Pachepsky and published by Elsevier. This book was released on 2000-07-19 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art after fifteen years of exponentially growing applications of fractal geometry in soil science. It demonstrates the wide-ranging applicability of fractal models in soil science and indicates new opportunities to integrate processes in soils within or across scales using fractals. Contributed by some of the pioneers in the field, chapters represent a broad spectrum of applications from geochemistry to microbiology and from scales of micrometers to the landscape, and serve as an introduction to the subject.Topics include fractal aspects of soil structure, porosity and texture, scaling in preferential and hydraulic conductivity, anoxic volumes and adsorption in fractal models of soil, characterization of the pore surface irregularity, fractal properties of soil organic matter, fractal concepts in studies of soil fauna and mycelium in soils, and fractal analysis of spatial and temporal variability in soil properties and crop yields. A wide spectrum of methods for identifying and measuring fractal properties is introduced and critically discussed. Although the book focussed on solving problems in soil science, the applications and the fractal approach used share much in common with many other fields within and outside of the earth sciences. A unique bibliography on fractals in soils science is included.

Proceedings of First International Conference on Computing, Communications, and Cyber-Security (IC4S 2019)

Author : Pradeep Kumar Singh
Publisher : Springer Nature
ISBN 13 : 9811533695
Total Pages : 886 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Proceedings of First International Conference on Computing, Communications, and Cyber-Security (IC4S 2019) by : Pradeep Kumar Singh

Download or read book Proceedings of First International Conference on Computing, Communications, and Cyber-Security (IC4S 2019) written by Pradeep Kumar Singh and published by Springer Nature. This book was released on 2020-04-27 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features selected research papers presented at the First International Conference on Computing, Communications, and Cyber-Security (IC4S 2019), organized by Northwest Group of Institutions, Punjab, India, Southern Federal University, Russia, and IAC Educational Trust, India along with KEC, Ghaziabad and ITS, College Ghaziabad as an academic partner and held on 12–13 October 2019. It includes innovative work from researchers, leading innovators and professionals in the area of communication and network technologies, advanced computing technologies, data analytics and intelligent learning, the latest electrical and electronics trends, and security and privacy issues.

Chaos and Fractals

Author : C.A. Pickover
Publisher : Elsevier
ISBN 13 : 0080528864
Total Pages : 469 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Chaos and Fractals by : C.A. Pickover

Download or read book Chaos and Fractals written by C.A. Pickover and published by Elsevier. This book was released on 1998-08-03 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art.Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art.Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.

Fractal Geometry in Biological Systems

Author : Philip M. Iannaccone
Publisher : CRC Press
ISBN 13 : 9780849376368
Total Pages : 448 pages
Book Rating : 4.3/5 (763 download)

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Book Synopsis Fractal Geometry in Biological Systems by : Philip M. Iannaccone

Download or read book Fractal Geometry in Biological Systems written by Philip M. Iannaccone and published by CRC Press. This book was released on 1996-07-25 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal Geometry in Biological Systems was written by the leading experts in the field of mathematics and the biological sciences together. It is intended to inform researchers in the bringing about the fundamental nature of fractals and their widespread appearance in biological systems. The chapters explain how the presence of fractal geometry can be used in an analytical way to predict outcomes in systems, to generate hypotheses, and to help design experiments. The authors make the mathematics accessible to a wide audience and do not assume prior experience in this area.

Fractal Analysis: Basic Concepts And Applications

Author : Carlo Cattani
Publisher : World Scientific
ISBN 13 : 9811239452
Total Pages : 244 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Fractal Analysis: Basic Concepts And Applications by : Carlo Cattani

Download or read book Fractal Analysis: Basic Concepts And Applications written by Carlo Cattani and published by World Scientific. This book was released on 2022-02-24 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according to the step-by-step guide found in the book.Besides advanced undergraduate students, graduate students and senior researchers, this book may also serve scientists and research workers from industrial settings, where fractals and multifractals are required for modeling real-world phenomena and data, such as finance, medicine, engineering, transport, images, signals, among others.For the theorists, rigorous mathematical developments are established with necessary prerequisites that make the book self-containing. For the practitioner often interested in model building and analysis, we provide the cornerstone ideas.

Encyclopedia of Computer Science and Technology

Author : Allen Kent
Publisher : CRC Press
ISBN 13 : 9780824722890
Total Pages : 408 pages
Book Rating : 4.7/5 (228 download)

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Book Synopsis Encyclopedia of Computer Science and Technology by : Allen Kent

Download or read book Encyclopedia of Computer Science and Technology written by Allen Kent and published by CRC Press. This book was released on 1997-02-14 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Artificial Intelligence in Economics and Managemetn to Requirements Engineering

Fractal-Based Methods in Analysis

Author : Herb Kunze
Publisher : Springer Science & Business Media
ISBN 13 : 1461418917
Total Pages : 417 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Fractal-Based Methods in Analysis by : Herb Kunze

Download or read book Fractal-Based Methods in Analysis written by Herb Kunze and published by Springer Science & Business Media. This book was released on 2011-11-18 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of modeling the behaviour of phenomena at multiple scales has become a useful tool in both pure and applied mathematics. Fractal-based techniques lie at the heart of this area, as fractals are inherently multiscale objects; they very often describe nonlinear phenomena better than traditional mathematical models. In many cases they have been used for solving inverse problems arising in models described by systems of differential equations and dynamical systems. "Fractal-Based Methods in Analysis" draws together, for the first time in book form, methods and results from almost twenty years of research in this topic, including new viewpoints and results in many of the chapters. For each topic the theoretical framework is carefully explained using examples and applications. The second chapter on basic iterated function systems theory is designed to be used as the basis for a course and includes many exercises. This chapter, along with the three background appendices on topological and metric spaces, measure theory, and basic results from set-valued analysis, make the book suitable for self-study or as a source book for a graduate course. The other chapters illustrate many extensions and applications of fractal-based methods to different areas. This book is intended for graduate students and researchers in applied mathematics, engineering and social sciences. Herb Kunze is a professor of mathematics at the University of Guelph in Ontario. Davide La Torre is an associate professor of mathematics in the Department of Economics, Management and Quantitative Methods of the University of Milan. Franklin Mendivil is a professor of mathematics at Acadia University in Nova Scotia. Edward Vrscay is a professor in the department of Applied Mathematics at the University of Waterloo in Ontario. The major focus of their research is on fractals and the applications of fractals.

Fractals in Biology and Medicine

Author : Theo F. Nonnenmacher
Publisher : Birkhäuser
ISBN 13 : 3034885016
Total Pages : 401 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fractals in Biology and Medicine by : Theo F. Nonnenmacher

Download or read book Fractals in Biology and Medicine written by Theo F. Nonnenmacher and published by Birkhäuser. This book was released on 2013-03-07 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Fractals in Biology and Medicine" explores the potential of fractal geometry for describing and understanding biological organisms, their development and growth as well as their structural design and functional properties. It extends these notions to assess changes associated with disease in the hope to contribute to the understanding of pathogenetic processes in medicine. The book is the first comprehensive presentation of the importance of the new concept of fractal geometry for biological and medical sciences. It collates in a logical sequence extended papers based on invited lectures and free communications presented at a symposium in Ascona, Switzerland, attended by leading scientists in this field, among them the originator of fractal geometry, Benoit Mandelbrot. "Fractals in Biology and Medicine" begins by asking how the theoretical construct of fractal geometry can be applied to biomedical sciences and then addresses the role of fractals in the design and morphogenesis of biological organisms as well as in molecular and cell biology. The consideration of fractal structure in understanding metabolic functions and pathological changes is a particularly promising avenue for future research.