This item is in: Mathematics > Geometry and topology

Fractal geometry: Mathematical methods, algorithms, applications

J M Blackledge, Loughborough University, A K Evans, Modern Optics Centre and M J Turner, De Montfort University, UK

A fascinatingly informative book, recommended to all applied mathematicians, showing the diverse uses of fractal techniques, covered in a basic way so that the non-specialist will be able to understand.
Mathematics Today

 - outlines research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis
 - international authorities from around the world address the rich panoply of manifold applications of fractal geometry available for study and research in science and industry
 - addresses applications in key research fields of remote sensing, mapping, texture creations, pattern recognition, image compression, aeromechanical systems, cryptography and financial analysis

International authorities from Canada, Denmark, England, Germany, Russia and South Africa focus on research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis. They address the rich panoply of manifold applications of fractal geometry available for study and research in science and industry: i.e., remote sensing, mapping, texture creations, pattern recognition, image compression, aeromechanical systems, cryptography and financial analysis. Economically priced, this important and authoritative reference source for research and study cites over 230 references to the literature, copiously illustrated with over 320 diagrams and photographs. The book is published for The Institute of Mathematics and its Applications, co-sponsored with The Institute of Physics and The Institution of Electrical Engineers.

Published in association with The Institute of Mathematics and its Applications, The Institute of Physics and The Institution of Electrical Engineers

£55.00 / US$95.00 / €65.00

An e-book version of this title is available to purchase as part of a Collection or Pick n Mix or by Chapter. Visit Woodhead Publishing Online

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Contents

Chaotic dynamics in a simple aeromechanical system
M G Goman, A N Khrabrov and A V Khramtsovsky

Random walks with fluctuating step number, scale invariant behaviour, and self-organised-criticality
R M J Tanner, K L Hopcraft and E Jakeman

Fractional integrals, singular measures and epsilon functions
R F Hoskins

Diffusion on fractals: Efficient algorithms to compute the random walk dimension
A Franz, C Schuizky, S Seeqer and K H Hoff mann

Why study financial time series?
M D London, A K Evans and M J Turner

Analysis of the limitations of fractal dimension texture segmentation for image Characterisation
M J Turner and J M Blackledge

Fractal basins of attraction in the inversion of gravity and magnetic data
G R J Cooper

Properties of fractal compression and their use in texture mapping
M J Turner

Fractal time and nested detectors
S Vrobel

Deterministic chaos in digital cryptography
N V Ptitsyn, J M Blackledge and V M Chernenky

The making of fractal geometry in digital imaging
M J Turner and J M Blackledge