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Fractals: A User's Guide for the Natural Sciences

Textbook

By: Harold M Hastings and George Sugihara

235 pages, Figs, tabs

Oxford University Press

Paperback | Dec 1993 | #25164 | ISBN: 0198545975
Availability: Usually dispatched within 2-3 weeks Details
NHBS Price: £52.99 $69/€59 approx
Hardback | Dec 1993 | #25163 | ISBN: 0198545878
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About this book

This unique explanation of how to use fractal geometry in ecology and biology begins with a summary of the foundations of measurement in Euclidean geometry, and then progresses from analogues in the geometry of random fractals to illustrative applications spanning the natural sciences. The book includes a toolbox of user-ready computer programs, provides a blend of motivation, geometry and detailed applications, and presents detailed case studies in ecosystem patterns and fluctuations of small populations.


Contents

I. INTRODUCTION. OUR VIEW OF NATURE; II. THE MATHEMATICS OF RANDOM FRACTALS. FRACTALS AND POWER LAW SCALING; 1. Dimension of graphs of functions; 2. The Fourier transform; 3. Alternative models; 4. Examples; 5. Fractal analysis of time series; IV. CASE STUDIES. PATTERN AND PROCESS IN VEGETATIVE ECOSYSTEMS; 6. Scaling behaviour of density-dependent populations under random noise; V. THE TOOLBOX. PROGRAMS/ANNOTATED REFERENCES; Index

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