Fractals in the Fundamental and Applied Sciences PDF Download

Author: Heinz-Otto Peitgen
Publisher: North Holland
ISBN:
Category : Computers
Languages : en
Pages : 484

View

Book Description
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.

Author: Harold M. Hastings
Publisher: Oxford University Press, USA
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 256

View

Book Description
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.

Author: Khasanov Sayidjakhon Zokirjon ugli
Publisher: Springer Nature
ISBN: 3031369602
Category : Technology & Engineering
Languages : en
Pages : 1029

View

Book Description
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.

Author: Miroslav M Novak
Publisher: World Scientific
ISBN: 9814546062
Category :
Languages : en
Pages : 500

View

Book Description
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.

Author: M.M. Novak
Publisher: CRC Press
ISBN: 9780412710209
Category : Mathematics
Languages : en
Pages : 414

View

Book Description
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.

Author: Miroslav Michal Novak
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 480

View

Book Description
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.

Author: Gerald A. Edgar
Publisher: Springer Science & Business Media
ISBN: 1475741340
Category : Mathematics
Languages : en
Pages : 252

View

Book Description
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

Author: Heinz-Otto Peitgen
Publisher: Springer Science & Business Media
ISBN: 1475747403
Category : Mathematics
Languages : en
Pages : 1013

View

Book Description
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.

Author: Sid-Ali Ouadfeul
Publisher: BoD – Books on Demand
ISBN: 1837696136
Category : Mathematics
Languages : en
Pages : 204

View

Book Description
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.

Author: Y. Pachepsky
Publisher: Elsevier
ISBN: 0080531970
Category : Science
Languages : en
Pages : 305

View

Book Description
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.