Fractals: A User's Guide for the Natural Sciences

Häftad, Engelska, 1993

Av Harold M. Hastings, George Sugihara, New York) Hastings, Harold M. (Professor of Mathematics and Associate Dean, Hofstra College, Hempstead, San Diego) Sugihara, George (Professor, John Dove Isaacs Chair in Natural Philosophy, University of California, Hastings

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A unique explanation of how to use fractal geometry in ecology and biology.Beginning with the foundations of measurement in Euclidian geometry, this book progresses from analogues in the geometry of random fractals to illustrative applications spanning the natural sciences. Designed to enable students and researchers to master the methods of this hot current topic, it:Includes a toolbox of user-ready computer programsProvides a blend of motivation, geometry and detailed applicationsPresents detailed case studies in ecosystem patterns and fluctuations of small populationsIt is the only guide to using fractals in these areas and will prove an essential source for all natural scientists interested in working with fractals.

Produktinformation

Utgivningsdatum1993-11-25
Mått156 x 235 x 14 mm
Vikt376 g
FormatHäftad
SpråkEngelska
Antal sidor248
FörlagOUP OXFORD
ISBN9780198545972

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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

'take the novitiate in a given discipline through the subtleties of fractal dimension, random fractals, Hurst exponents and so on, in a way that illuminates the field of study, thereby making it a working tool for the would be practitioner ... an excellent book from which even those that have been working in this area for a long time have something to learn. I strongly recommend it for anyone interested in how to apply these new and exciting techniques to the understanding of natural phenomena.'Bruce J. West, University of North Texas, Bulletin of Mathematical Biology