Fractals A Very Short Introduction

Author: K. J. Falconer
Publisher: Oxford University Press
ISBN: 0199675988
Format: PDF, ePub, Mobi
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An essential discussion of the popular science and mathematics behind fractals reveals how fractal shapes can be found everywhere in nature from clouds to coastlines, explaining how basic concepts in fractal geometry produced a revolution in mathematical understandings of patterns in the 20th century. Original.

The Fractal Geometry of Nature

Author: Benoit B. Mandelbrot
Publisher: Macmillan
ISBN: 9780716711865
Format: PDF, Mobi
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Three classic fractals, tamed. Galaxies and eddies. Scaling fractals. Nonscaling fractals. Self-mapping fractals. Randomness. Stratified random fractals. Fractional brown fractals. A book-within-the-book, in color. Random tremas; texture. Miscellany. Of men and ideas.

Alt fractals

Author: Eric Baird
Publisher: Chocolate Tree Books
ISBN: 0955706831
Format: PDF, ePub, Docs
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A range of fractal types and variations drawn and discussed, with over 200 illustrations and diagrams.

Fractals and Chaos

Author: Benoit Mandelbrot
Publisher: Springer Science & Business Media
ISBN: 1475740174
Format: PDF, ePub, Docs
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Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.

Chaos and Fractals

Author: Heinz-Otto Peitgen
Publisher: Springer Science & Business Media
ISBN: 1475747403
Format: PDF, Docs
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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.

Fractals

Author: John Briggs
Publisher: Simon and Schuster
ISBN: 0671742175
Format: PDF, Docs
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Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

Fractals Chaos Power Laws

Author: Manfred Schroeder
Publisher: Courier Corporation
ISBN: 0486472043
Format: PDF, Docs
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This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author - hailed by Publishers Weekly as a modern Lewis Carroll - conveys memorable insights in the form of puns and puzzles. 1992 edition.

Fractals

Author: Benoit B. Mandelbrot
Publisher: W.H. Freeman
ISBN: 9780716704737
Format: PDF
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Mathematical lexicon & addenda

Fractals in the natural and applied sciences

Author: Miroslav Michal Novak
Publisher: North Holland
ISBN:
Format: PDF, ePub, Mobi
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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.