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Fractal Geometry

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An accessible introduction to fractals, useful as a text or reference. Part I is concerned with the general theory of fractals and their geometry, covering dimensions and their methods of calculation, plus the local form of fractals and their projections and intersections. Part II contains examples of fractals drawn from a wide variety of areas of mathematics and physics, including self-similar and self-affine sets, graphs of functions, examples from number theory and pure mathematics, dynamical systems, Julia sets, random fractals and some physical applications. Also contains many diagrams and illustrative examples, and shows how to produce further drawings for themselves.

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Fractal Geometry, Kenneth J. Falconer

Langue
Année de publication
2003
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Titre
Fractal Geometry
Langue
Anglais
Éditeur
Wiley
Publié
2003
Format
souple
ISBN10
0470848626
ISBN13
9780470848623
Séries
Titre original
Fractal geometry
Évaluation
4,3 sur 5
Description
An accessible introduction to fractals, useful as a text or reference. Part I is concerned with the general theory of fractals and their geometry, covering dimensions and their methods of calculation, plus the local form of fractals and their projections and intersections. Part II contains examples of fractals drawn from a wide variety of areas of mathematics and physics, including self-similar and self-affine sets, graphs of functions, examples from number theory and pure mathematics, dynamical systems, Julia sets, random fractals and some physical applications. Also contains many diagrams and illustrative examples, and shows how to produce further drawings for themselves.