Fractal geometry : mathematical foundations and applications /
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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.