A Tale of Two Fractals

Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mains...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kirillov, A.A (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Birkhäuser, 2013.
Edición:1st ed. 2013.
Temas:
Information visualization.
Special functions.
Geometry.
Mathematical analysis.
Algebra.
Mathematics.
Data and Information Visualization.
Special Functions.
Analysis.
Applications of Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Part 1. The Sierpiński Gasket
  • Definition and General Properties
  • The Laplace Operator on the Sierpiński Gasket.- Harmonic Functions on the Sierpiński Gasket
  • Part 2. The Apollonian Gasket
  • Introduction
  • Circles and Disks on Spheres
  • Definition of the Apollonian Gasket
  • Arithmetic Properties of Apollonian Gaskets
  • Geometric and Group-Theoretic Approach
  • Many-Dimensional Apollonian Gaskets
  • Bibliography.

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