Fractal geometry : mathematical foundations and applications / Kenneth Falconer.
Editor: Chichester ; New York : Wiley, c1990Descripción: xxii, 288 p. : il. ; 24 cmISBN: 0471922870Tema(s): FractalsOtra clasificación: 28A80 (00A69 11K55 28-01 37D45 60G18)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 TransformationsSelf-Similar and Self-Affine Sets.Examples from Number Theory.Graphs of Functions.Examples from Pure Mathematics.Dynamical Systems.Iteration of Complex FunctionsJulia Sets.Random Fractals.Brownian Motion and Brownian Surfaces.Multifractal Measures.Physical Applications.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 28 F182f (Browse shelf) | Available | A-6497 |
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Incluye referencias bibliográficas (p. [278]-283) e índice.
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.
MR, 92j:28008
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