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Kaye B.H. A Random Walk Through Fractal Dimensions

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Kaye B.H. A Random Walk Through Fractal Dimensions
Second Edition. — VCH, 1994. — 453 p. — ISBN: 3527290788.
Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the descriptive power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. The second edition of this successful book provides important literature coverage of the use of fractal geometry in all areas of science.
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Addison P.S. Fractals and Chaos. An Illustrated Course

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IOP Publishing Ltd, 1997. — 306 p. The aim of this textbook is to provide the reader with an elementary introduction to fractal geometry and chaotic dynamics. These are subjects which have attracted immense interest throughout the whole range of numerate disciplines, including science, engineering, medicine, economics, and social science, to name but a few. The book may be used...
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Barnsley M. Superfractals

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Barnsley M.F. Fractals Everywhere

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Morgan Kaufmann, 2000. - 534 p. This volume is the second edition of the highly successful Fractals Everywhere. The Focus of this text is how fractal geometry can be used to model real objects in the physical world. This edition of Fractals Everywhere is the most up-to-date fractal textbook available today. Fractals Everywhere may be supplemented by Michael F. Barnsley's...
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Edgar G.A. Classics on Fractals

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Westview Press, 2003. - 384 p. Contains a selection of the classical mathematical papers related to fractal geometry. Commentaries help the modern reader to understand the papers and their relation to modern work. Fractals are an important topic in such varied branches of science as mathematics, computer science, and physics. Classics on Fractals collects for the first time the...
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Falconer K. Fractal Geometry. Mathematical Foundations and Applications

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Foundations 1. mathematical background. Basic set theory. Functions and limits. Measures and mass distributions. Notes on probability theory. Exercises. Hausdorff measure and dimension. Hausdorff measure. Hausdorff dimension. Calculation of Hausdorff dimension — simple examples. *2.4 Equivalent definitions of Hausdorff dimension. *2.5 Finer definitions of dimension. Exercises....
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Le Mehaute A. Fractal Geometries. Theory and Applications

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CRC Press, 1991. - 200 p. Fractal geometry, based on recursive mathematical schemas, provides a means for modeling a great number of natural phenomena. For this reason, it is of increasing interest to physicists, chemists, biologists, and geographers, among others. A major quality of fractality is that it not only unifies phenomena previously thought to be anomalous or...
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