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The beauty of fractals : images of complex dynamical systems /

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The authors present an unusual attempt to publicize the field of Complex Dynamics, an exciting mathematical discipline of respectable tradition that recently sprang into new life under the impact of modern computer graphics. Where previous generations of scientists had to develop their own inner eye...

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Bibliographic Details
Main Author: Peitgen, Heinz-Otto, 1945-
Corporate Author: SpringerLink (Online service)
Other Authors: Richter, P. H. (Peter H.), 1945-
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1986]
Subjects:
Fractals.
Fractales.
Mathematics.
Dynamisches System.
Fraktal.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Frontiers of chaos. Special sections: 1. Verhulst dynamics
  • 2. Julia sets and their computergraphical generation
  • 3. Sullivan's classification of critical points
  • 4. The Mandelbrot set
  • 5. External angles and Hubbard trees
  • 6. Newton's method for complex polynomials: Cayley's problem
  • 7. Newton's method for real equations
  • 8. A discrete Volterra-Lotka system
  • Magnetism and complex boundaries
  • Special sections: 9. Yang-Lee zeros
  • 10. Renormalization
  • Invited contributions
  • Fractals and the rebirth of iteration theory / B.B. Mandelbrot
  • Julia sets and the Mandelbrot set / A. Douady
  • Freedom, science, and aesthetics / G. Eilenberger
  • Refractions of science into art / H.W. Franke
  • Do it yourself
  • Documentation.