The Beauty of Fractals

Images of Complex Dynamical Systems
Author: Heinz-Otto Peitgen,Peter H. Richter
Publisher: Springer Science & Business Media
ISBN: 3642617174
Category: Mathematics
Page: 202
View: 3515

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Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.

Fractals, Graphics, and Mathematics Education

Author: Michael Frame,Benoit Mandelbrot
Publisher: Cambridge University Press
ISBN: 9780883851692
Category: Computers
Page: 206
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Teaching resources for use with courses on fractal geometry, lecturers and interested readers.

Computers, Pattern, Chaos and Beauty

Author: Clifford A. Pickover
Publisher: Courier Corporation
ISBN: 0486151611
Category: Science
Page: 416
View: 8724

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Fractals and chaos theory lead to startling graphics in this book by a renowned scientist, inventor, and artist, who coordinates information from disparate fields. Over 275 illustrations, 29 in color.

Der Springer-Verlag

Stationen Seiner Geschichte Teil 2: 1945 – 1992
Author: Heinz Götze
Publisher: Springer-Verlag
ISBN: 3540928898
Category: Language Arts & Disciplines
Page: 413
View: 5859

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Chaos and Fractals

New Frontiers of Science
Author: Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe
Publisher: Springer Science & Business Media
ISBN: 0387202293
Category: Mathematics
Page: 864
View: 3282

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The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals as well as many related topics including: the Mandelbrot set, Julia sets, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focussed computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.

Fractals Everywhere

New Edition
Author: Michael F. Barnsley
Publisher: Courier Corporation
ISBN: 0486320340
Category: Mathematics
Page: 560
View: 8971

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Up-to-date text focuses on how fractal geometry can be used to model real objects in the physical world, with an emphasis on fractal applications. Includes solutions, hints, and a bonus CD.

Teubner-Taschenbuch der Mathematik. 2 (2003)

Author: Günter Grosche,Eberhard Zeidler
Publisher: Springer-Verlag
ISBN: 9783519210085
Category: Mathematics
Page: 830
View: 6230

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Das Teubner-Taschenbuch der Mathematik erfüllt aktuell, umfassend und kompakt alle Erwartungen, die an ein mathematisches Nachschlagewerk gestellt werden. Es vermittelt ein lebendiges und modernes Bild der heutigen Mathematik. Als Handbuch begleitet es die Studierenden vom ersten Semester an und der Praktiker nutzt es als unentbehrliches Nachschlagewerk. Der Teil II dieses erfolgreichen Werkes behandelt die vielfältigen Anwendungen der Mathematik in Informatik, Operations Research und mathematischer Physik. Das thematische Spektrum reicht von Tensoranalysis, Maßtheorie und Funktionalanalysis über Dynamische Systeme und Variationsrechnung bis zu Mannigfaltigkeiten, Riemannscher Geometrie, Liegruppen und Topologie.

Fractals: A Very Short Introduction

Author: Kenneth Falconer
Publisher: OUP Oxford
ISBN: 019166345X
Category: Mathematics
Page: 152
View: 7883

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Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Heaven's Fractal Net

Retrieving Lost Visions in the Humanities
Author: William Joseph Jackson
Publisher: Indiana University Press
ISBN: 9780253216205
Category: Philosophy
Page: 311
View: 7521

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Accompanying DVD contains ... "Two hours of Supercomputed frame-by-frame fractal animation. Includes Mandelbrot Zooms, Julia Promenades, Cascade maps and the Lorenz Attractor. Forty six scenes with original music." -- [container of 1990 VHS release].


Grundlagen, Bildformen und Anwendungen im Kunstunterricht
Author: Friedel Mager
Publisher: N.A
Category: Art
Page: 322
View: 5196

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Fractals for the Classroom

Part Two: Complex Systems and Mandelbrot Set
Author: Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe
Publisher: Springer Science & Business Media
ISBN: 9780387977225
Category: Mathematics
Page: 500
View: 5655

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Published in cooperation with the National Council of Teachers of Mathematics

L-System Fractals

Author: Jibitesh Mishra,Sarojananda Mishra
Publisher: Elsevier
ISBN: 9780080469386
Category: Mathematics
Page: 274
View: 8260

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L-System Fractals covers all the fundamental aspects of generating fractals through L-system. Also it provides insight to various researches in this area for generating fractals through L-system approach & estimating dimensions. Also it discusses various applications of L-system fractals. Fractals generated from L-System including hybrid fractals Dimension calculation for L-system fractals Images and codes for L-system fractals Research directions in the area of L-system fractals Usage of various freely downloadable tools in this area

Music and Mathematics

From Pythagoras to Fractals
Author: John Fauvel,Raymond Flood,Robin J. Wilson
Publisher: Oxford University Press on Demand
ISBN: 9780199298938
Category: Mathematics
Page: 189
View: 8714

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From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authorized by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional and analytical relationships between mathematics and music are unfolded and explored with focus on tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques.

Introducing Fractals

A Graphic Guide
Author: Nigel Lesmoir-Gordon,Will Rood
Publisher: Icon Books Ltd
ISBN: 1848317832
Category: Mathematics
Page: 176
View: 8551

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From Zeno to Mandelbrot: explore this new language with which you can describe the shape of cloud as precisely as an architect can describe a house.

Chaos, Complexity, Curriculum and Culture

A Conversation
Author: William E. Doll,M. Jayne Fleener,John St. Julien
Publisher: Peter Lang
ISBN: 9780820467801
Category: Education
Page: 329
View: 1696

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Although the fields of chaos and complexity are important in a number of disciplines, they have not yet been influential in education. This book remedies this dilemma by gathering essays by authors from around the world who have studied and applied chaos and complexity theories to their teaching. Rich in its material, recursive in its interweaving of themes, conversational in its relationships, and rigorous in its analysis, the book is essential reading for undergraduates, graduate students, and professionals who deal with these important topics.

Journey to Awareness and Beyond

With Modern Technology and Ancient Wisdom
Author: Liana Mattulich MD
Publisher: Xlibris Corporation
ISBN: 1469102129
Category: Self-Help
Page: 214
View: 7028

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An enriched view of personal reality drawing from medical and theoretical sciences as well as the esoteric, combining modern experimental science with ancient wisdom which provide keys to the physiology of happiness: Anatomy and Physiology of Mind-Body concepts and the Body Energy Spectrum, Consciousness and the Mind, Dimensional reality, personal reality and time, Spiritual evolution and the soul, Happiness as a self-regulated mind and physiology. A reading experience with an open perspective from human life and mind -- to matter and energies. The book describes for a layman or a professional the weaving of metaphors, exercises and scientific procedures which promote joy in life and the realization of inner freedom. Comprehensive references of both scientific research and empirical experience are provided. Experience proven approaches to joy of well-being of body and mind: subtle energies and Energy Psychology, Meridian physiology in Eastern & Western health practices; Understanding the self, personal direction, goals, and change; Psychology of success, intention, High Will, imagery, inspiration and motivation. Learn leadership qualities, communication skills, assertiveness, and Responsible Open Self-Expression used in managing personal relationships. This is the only book that amalgamates scientific technology with ancient wisdom practices in an integrated system of self-transformation going beyond intellectual and philosophical information alone. More information: -OR-

The Computational Beauty of Nature

Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation
Author: Gary William Flake
Publisher: MIT Press
ISBN: 9780262561273
Category: Computers
Page: 493
View: 5663

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Gary William Flake develops in depth the simple idea that recurrent rules can produce rich and complicated behaviors.


The New Science
Author: Ilya Prigogine
Publisher: University Press of America
ISBN: 9780819189349
Category: Science
Page: 127
View: 619

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The role of chaos in science and mathematics is examined in detail by the essays that comprise this work. Distinguished scholars specializing in mathematics, physics, and chemistry discuss the following subjects: Fractals, by Benoit Mandelbrot; The Causality Principle, Deterministic Laws and Chaos, by Heinz-Otto Peitgen; The Transition to Chaos, by Mitchell Feigenbaum; Time, Dynamics and Chaos: Integrating Poincare's 'Non-Integrable Systems', by Ilya Prigogine; What Is Chaos, by Steve Smale; Chaos and Cosmos: A Theological Approach, by John Polkinghorne; and Chaos and Beyond, by James Gleick. Introduction by John Holte. This volume is number 26 in the Nobel Conference Series. Co-published with the Nobel Conference.