Getting acquainted with fractals
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Main Authors: | |
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Published: |
Walter de Gruyter,
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Publisher Address: | Berlin New York |
Publication Dates: | c2007. |
Literature type: | Book |
Language: | English |
Subjects: | |
Carrier Form: | 177 p.: col. ill. ; 25 cm. |
ISBN: |
9783110190922 (hardcover : alk. paper) 3110190923 (hardcover : alk. paper) |
Index Number: | O18 |
CLC: | O18 |
Call Number: | O18/H478 |
Contents: |
Includes bibliographical references (p. [165]-167) and index. FRACTALS AND DIMENSIONS: The game of deleting and replacing -- The box-counting dimension --The Hausdorff dimension -- ITERATIVE FUNCTION SYSTEMS: The space of compact subsets of a complete metric space -- Contractions in a complete metric space -- Affine iterative functions in R² -- ITERATION OF COMPLEX POLYNOMIALS: General theory of Julia sets -- Julia sets for quadratic polynomials -- The Mandelbrot set -- Generation of Julia sets. |