Fractals: A User's Guide for the Natural Sciences

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

Fractals

A User's Guide for the Natural Sciences

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

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English

Oxford University Press
25 November 1993

Fractal geometry; Botany & plant sciences; Applied ecology; Social impact of environmental issues; Computer science

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.

By: Harold M. Hastings (Professor of Mathematics and Associate Dean Hofstra College Hempstead New York), George Sugihara (Professor, John Dove Isaacs Chair in Natural Philosophy, University of California, San Diego)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 156mm, Spine: 14mm
Weight: 376g
ISBN: 9780198545972
ISBN 10: 0198545975
Pages: 248
Publication Date: 25 November 1993
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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 III. The Bridge to Applications. Modelling spatial and temporal patterns: 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

Reviews for Fractals: A User's Guide for the Natural Sciences

This volume is an essential resource for all natural scientists interested in working with fractals. * Ethology, Ecology & Evolution * This volume is an essential resource for all natural scientists interested in working with fractals. * Ethology, Ecology & Evolution, 7, 1995 * '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