Fractal geometry : mathematical foundations and applications /

Guardado en:
Autor Principal: Falconer, K. J., 1952-
Formato: Libro
Idioma:English
Publicado: Chichester ; New York : Wiley, c1990.
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Tabla de Contenidos:
  • FOUNDATIONS.
  • Mathematical Background.
  • Hausdorff Measure and Dimension.
  • Alternative Definitions of Dimension.
  • Techniques for Calculating Dimensions.
  • Local Structure of Fractals.
  • Projections of Fractals.
  • Products of Fractals.
  • Intersections of Fractals.
  • APPLICATIONS AND EXAMPLES.
  • Fractals Defined by Transformations
  • Self-Similar and Self-Affine Sets.
  • Examples from Number Theory.
  • Graphs of Functions.
  • Examples from Pure Mathematics.
  • Dynamical Systems.
  • Iteration of Complex Functions
  • Julia Sets.
  • Random Fractals.
  • Brownian Motion and Brownian Surfaces.
  • Multifractal Measures.
  • Physical Applications.