Kitchen Science Fractals A Lab Manual For Fractal Geometry

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Kitchen Science Fractals: A Lab Manual For Fractal Geometry

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Author : Michael Frame
Publisher : World Scientific
ISBN 13 : 9811218471
Total Pages : 468 pages
Book Rating : 4.8/5 (112 download)

Book Synopsis Kitchen Science Fractals: A Lab Manual For Fractal Geometry by : Michael Frame

Download or read book Kitchen Science Fractals: A Lab Manual For Fractal Geometry written by Michael Frame and published by World Scientific. This book was released on 2021-10-04 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a collection of 44 simple computer and physical laboratory experiments, including some for an artist's studio and some for a kitchen, that illustrate the concepts of fractal geometry. In addition to standard topics — iterated function systems (IFS), fractal dimension computation, the Mandelbrot set — we explore data analysis by driven IFS, construction of four-dimensional fractals, basic multifractals, synchronization of chaotic processes, fractal finger paints, cooking fractals, videofeedback, and fractal networks of resistors and oscillators.

Kitchen Science Fractals: A Lab Manual for Fractal Geometry

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Author : Michael Frame
Publisher : World Scientific Publishing Company
ISBN 13 : 9789811218927
Total Pages : 450 pages
Book Rating : 4.2/5 (189 download)

Book Synopsis Kitchen Science Fractals: A Lab Manual for Fractal Geometry by : Michael Frame

Download or read book Kitchen Science Fractals: A Lab Manual for Fractal Geometry written by Michael Frame and published by World Scientific Publishing Company. This book was released on 2021-11-04 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a collection of 44 simple computer and physical laboratory experiments, including some for an artist's studio and some for a kitchen, that illustrate the concepts of fractal geometry. In addition to standard topics -- iterated function systems (IFS), fractal dimension computation, the Mandelbrot set -- we explore data analysis by driven IFS, construction of four-dimensional fractals, basic multifractals, synchronization of chaotic processes, fractal finger paints, cooking fractals, videofeedback, and fractal networks of resistors and oscillators.

From Fractals And Cellular Automata To Biology: Information As Order Hidden Within Chance

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Author : Alberto Strumia
Publisher : World Scientific
ISBN 13 : 9811217173
Total Pages : 329 pages
Book Rating : 4.8/5 (112 download)

Book Synopsis From Fractals And Cellular Automata To Biology: Information As Order Hidden Within Chance by : Alberto Strumia

Download or read book From Fractals And Cellular Automata To Biology: Information As Order Hidden Within Chance written by Alberto Strumia and published by World Scientific. This book was released on 2020-07-02 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The didactical level of exposition, together with many astonishing images and animations, accompanied by the related simple computer programming codes (in Python and POV-Ray languages) make this book an extremely and unique useful tool to test the power of algorithmic information in generating ordered structure models (2D and 3D) like regular geometric shapes, complex shapes like fractals and cellular automata, and biological systems as the organs of a living body. Informational biologists besides mathematicians and physicists of complexity may learn to test their own capabilities in programming and modelling ordered structures starting from random initial conditions at different scale of each system: from elementary particles, to biological systems, to galaxies and the whole universe. Moreover the philosophical comments comparing some aspects of modern information theory to the Aristotelian notion of 'form are very appealing also for the epistemologist and the philosopher involved in complexity matters.

Benoit Mandelbrot: A Life In Many Dimensions

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Author : Frame Michael
Publisher : World Scientific
ISBN 13 : 9814635537
Total Pages : 580 pages
Book Rating : 4.8/5 (146 download)

Book Synopsis Benoit Mandelbrot: A Life In Many Dimensions by : Frame Michael

Download or read book Benoit Mandelbrot: A Life In Many Dimensions written by Frame Michael and published by World Scientific. This book was released on 2015-03-02 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, teachers, an historian, an architect, a filmmaker, and a comic. Some articles are quite technical, others entirely descriptive. All include stories about Benoit.Also included are chapters on fractals and music by Charles Wuorinen and by Harlan Brothers, on fractals and finance by Richard Hudson and by Christian Walter, on fractal invisibility cloaks by Nathan Cohen, and a personal reminiscence by Aliette Mandelbrot.While he is known most widely for his work in mathematics and in finance, Benoit influenced almost every field of modern intellectual activity. No other book captures the breadth of all of Benoit's accomplishments.

Introducing Fractals

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Author : Nigel Lesmoir-Gordon
Publisher : Icon Books Ltd
ISBN 13 : 1848317832
Total Pages : 429 pages
Book Rating : 4.8/5 (483 download)

Book Synopsis Introducing Fractals by : Nigel Lesmoir-Gordon

Download or read book Introducing Fractals written by Nigel Lesmoir-Gordon and published by Icon Books Ltd. This book was released on 2014-06-05 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals are the geometry of the natural world. They're about the broken, wrinkled, wiggly world- the uneven shapes of nature, unlike the idealised forms of Euclidean geometry. We see fractals everywhere; indeed, we are fractals ourselves. Fractal geometry is an extension of classical geometry which can make precise models of physical structures, from ferns to galaxies. It can describe the shape of a cloud as precisely as an architect can describe a house. Introducing Fractals traces the historical development of this mathematical discipline, explores its descriptive powers in the natural world, and then looks at the applications and the implications of the discoveries it has made. As John Archibald Wheeler, protégé of Niels Bohr, friend of Albert Einstein and mentor of Richard Feynman has said, 'No one will be considered scientifically literate tomorrow, who is not familiar with fractals.'

Fractals

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Author : Harold M. Hastings
Publisher : OUP Oxford
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (318 download)

Book Synopsis Fractals by : Harold M. Hastings

Download or read book Fractals written by Harold M. Hastings and published by OUP Oxford. 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 formalityof many papers in mathematics and the informality of picture-oriented books on fractals. It is both a logically developed text and a `fractals for users' handbook.Fractal geometry exploits a characteristic property of the real world self-similarity - to find simple rules for the assembly of complex natural objects. Beginning with the foundations of measurement in Euclidean geometry, the authors progress from analogues in the geometry of random fractals toillustrative applications spanning the natural sciences: the developmental biology of neurons and pancreatic islets; fluctuations of bird populations; patterns in vegetative ecosystems; and even earthquake models. The final section provides a toolbox of user-ready programs. This volume is anessential resource for all natural scientists interested in working with fractals.

The Science of Fractal Images

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Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 146123784X
Total Pages : 328 pages
Book Rating : 4.4/5 (612 download)

Book Synopsis The Science of Fractal Images by : Heinz-Otto Peitgen

Download or read book The Science of Fractal Images written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, Heinz-Otto Peit gen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba sic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics.

Fractals in Science

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Author : Armin Bunde
Publisher : Springer
ISBN 13 : 3642779530
Total Pages : 317 pages
Book Rating : 4.6/5 (427 download)

Book Synopsis Fractals in Science by : Armin Bunde

Download or read book Fractals in Science written by Armin Bunde and published by Springer. This book was released on 2013-12-21 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: A deeply detailed discussion of fractals in biology, heterogeneous chemistry, polymers, and the earth sciences. Beginning with a general introduction to fractal geometry it continues with eight chapters on self-organized criticality, rough surfaces and interfaces, random walks, chemical reactions, and fractals in chemisty, biology, and medicine. A special chapter entitled "Computer Exploration of Fractals, Chaos, and Cooperativity" presents computer demonstrations of fractal models: 14 programs are included on a 3 1/2" MS-DOS diskette which run on any PC with at least 1 MB RAM and a EGA or VGA graphics card, 16 colors.

Fractals in the Natural Sciences

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Author : M. Fleischmann
Publisher : Princeton University Press
ISBN 13 : 1400861047
Total Pages : 207 pages
Book Rating : 4.4/5 (8 download)

Book Synopsis Fractals in the Natural Sciences by : M. Fleischmann

Download or read book Fractals in the Natural Sciences written by M. Fleischmann and published by Princeton University Press. This book was released on 2014-07-14 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the words of B. B. Mandelbrot's contribution to this important collection of original papers, fractal geometry is a "new geometric language, which is geared towards the study of diverse aspects of diverse objects, either mathematical or natural, that are not smooth, but rough and fragmented to the same degree at all scales." This book will be of interest to all physical and biological scientists studying these phenomena. It is based on a Royal Society discussion meeting held in 1988. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Fractals Everywhere

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Author : Michael F. Barnsley
Publisher : Academic Press
ISBN 13 : 148325769X
Total Pages : 548 pages
Book Rating : 4.4/5 (832 download)

Book Synopsis Fractals Everywhere by : Michael F. Barnsley

Download or read book Fractals Everywhere written by Michael F. Barnsley and published by Academic Press. This book was released on 2014-05-10 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals. Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems. This book will prove useful to both undergraduate and graduate students from many disciplines, including mathematics, biology, chemistry, physics, psychology, mechanical, electrical, and aerospace engineering, computer science, and geophysical science.

Fractal Geometry

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Author : K. J. Falconer
Publisher :
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Fractal Geometry by : K. J. Falconer

Download or read book Fractal Geometry written by K. J. Falconer and published by . This book was released on 1990-03-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to fractals, useful as a text or reference. Part I is concerned with the general theory of fractals and their geometry, covering dimensions and their methods of calculation, plus the local form of fractals and their projections and intersections. Part II contains examples of fractals drawn from a wide variety of areas of mathematics and physics, including self-similar and self-affine sets, graphs of functions, examples from number theory and pure mathematics, dynamical systems, Julia sets, random fractals and some physical applications. Also contains many diagrams and illustrative examples, includes computer drawings of fractals, and shows how to produce further drawings for themselves.

Fractals in Science

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Author : Eugene Stanley
Publisher : Springer Science & Business Media
ISBN 13 : 1461570123
Total Pages : 315 pages
Book Rating : 4.4/5 (615 download)

Book Synopsis Fractals in Science by : Eugene Stanley

Download or read book Fractals in Science written by Eugene Stanley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nature is full of spidery patterns: lightning bolts, coastlines, nerve cells, termite tunnels, bacteria cultures, root systems, forest fires, soil cracking, river deltas, galactic distributions, mountain ranges, tidal patterns, cloud shapes, sequencing of nucleotides in DNA, cauliflower, broccoli, lungs, kidneys, the scraggly nerve cells that carry signals to and from your brain, the branching arteries and veins that make up your circulatory system. These and other similar patterns in nature are called natural fractals or random fractals. This chapter contains activities that describe random fractals. There are two kinds of fractals: mathematical fractals and natural (or random) fractals. A mathematical fractal can be described by a mathematical formula. Given this formula, the resulting structure is always identically the same (though it may be colored in different ways). In contrast, natural fractals never repeat themselves; each one is unique, different from all others. This is because these processes are frequently equivalent to coin-flipping, plus a few simple rules. Nature is full of random fractals. In this book you will explore a few of the many random fractals in Nature. Branching, scraggly nerve cells are important to life (one of the patterns on the preceding pages). We cannot live without them. How do we describe a nerve cell? How do we classify different nerve cells? Each individual nerve cell is special, unique, different from every other nerve cell. And yet our eye sees that nerve cells are similar to one another.

Fractals for the Classroom

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Author : Heinz-Otto Peitgen
Publisher : Springer
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.:/5 (318 download)

Book Synopsis Fractals for the Classroom by : Heinz-Otto Peitgen

Download or read book Fractals for the Classroom written by Heinz-Otto Peitgen and published by Springer. This book was released on 1992 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad view of chaos theory and fractal geometry and how they relate to each other, to other aspects of mathematics, and to natural phenomena. Explains fractal geometry- new language to describe complex natural forms.

Classics On Fractals

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Author : Gerald A. Edgar
Publisher : Addison-Wesley Longman
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Classics On Fractals by : Gerald A. Edgar

Download or read book Classics On Fractals written by Gerald A. Edgar and published by Addison-Wesley Longman. This book was released on 1993-08-20 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classics on Fractals collects for the first time the papers on fractal geometry. This compendium is an invaluable reference for all researchers and students of fractal geometry. Of particular value are the 12 papers that have been translated into English for the first time. Commentary by Professor Edgar explains the context of each paper.

The Fractal Explorer

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Author : Linda Garcia
Publisher :
ISBN 13 : 9780962865909
Total Pages : 108 pages
Book Rating : 4.8/5 (659 download)

Book Synopsis The Fractal Explorer by : Linda Garcia

Download or read book The Fractal Explorer written by Linda Garcia and published by . This book was released on 1991 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractals in Natural Sciences

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Author : Tamás Vicsek
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810216245
Total Pages : 644 pages
Book Rating : 4.2/5 (162 download)

Book Synopsis Fractals in Natural Sciences by : Tamás Vicsek

Download or read book Fractals in Natural Sciences written by Tamás Vicsek and published by World Scientific Publishing Company Incorporated. This book was released on 1994 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last couple of years, fractals have been shown to represent the common aspects of many complex processes occurring in an unusually diverse range of fields including biology, chemistry, earth sciences, physics and technology. Using fractal geometry as a language, it has become possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iteractive functions, colloidal aggregation, biological pattern formation and inhomogenous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality.This volume contains a selection of high quality papers that discuss the latest developments in the research of fractals. It is divided into 5 sections and contains altogether 64 papers. Each paper is written by a well known author or authors in the field. Beginning each section is a short introduction, written by a prominent author, which gives a brief overview of the topics discussed in the respective sections.

The Fractal Geometry of Nature

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Author : Benoit Mandelbrot
Publisher : Echo Point Books & Media, LLC
ISBN 13 : 9781648370403
Total Pages : 0 pages
Book Rating : 4.3/5 (74 download)

Book Synopsis The Fractal Geometry of Nature by : Benoit Mandelbrot

Download or read book The Fractal Geometry of Nature written by Benoit Mandelbrot and published by Echo Point Books & Media, LLC. This book was released on 2021-07-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.