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Chaos and Fractals

New Frontiers of Science

  • Heinz-Otto Peitgen
  • Hartmut Jürgens
  • Dietmar Saupe

Table of contents

  1. Front Matter
    Pages i-7
  2. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 9-14
  3. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 15-62
  4. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 63-134
  5. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 135-181
  6. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 183-228
  7. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 229-296
  8. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 297-352
  9. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 353-405
  10. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 407-456
  11. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 457-505
  12. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 507-583
  13. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 585-653
  14. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 655-768
  15. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 769-840
  16. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
    Pages 841-901
  17. Back Matter
    Pages 903-984

About this book

Introduction

For almost 15 years chaos and fractals have been riding a wave that has enveloped many areas of mathematics and the natural sciences in its power, creativity and expanse. Traveling far beyond the traditional bounds of mathematics and science to the distant shores of popular culture, this wave captures the attention and enthusiasm of a worldwide audience. 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, Cellulair Automata, L- systems, Percolation and Strange Attractors. Each chapter is closed by a "Program of the Chapter" which provides computer code for a central experiment. Two appendices complement the book. The first, by Yuval Fisher, discusses the details and ideas of fractal images and compression; the second, by Carl J.G. Evertsz and Benoit Mandelbrot, introduces the foundations and implications of multifractals.

Keywords

Mandelbrot causality complexity mathematics

Authors and affiliations

  • Heinz-Otto Peitgen
    • 1
    • 2
  • Hartmut Jürgens
    • 3
  • Dietmar Saupe
    • 4
  1. 1.CeVis and MeVisUniversität BremenBremenGermany
  2. 2.Department of MathematicsFlorida Atlantic UniversityBoca RatonUSA
  3. 3.CeVis and MeVisUniversität BremenBremenGermany
  4. 4.Department of Computer ScienceUniversität FreiburgFreiburgGermany

Bibliographic information