Fractal geometry : mathematical foundations and applications
Kenneth Falconer.
Chichester ; New York : Wiley, ©1990.
xxii, 288 págs. : ilustraciones ; 24 cm.
ISBN: 0471922870
Incluye referencias bibliográficas (p. [278]-283) e índice.
Reseña: MathSciNet, 92j:28008
Contenido
- 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.