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Fractals : A User's Guide for the Natural Sciences - Harold M. Hastings

Fractals

A User's Guide for the Natural Sciences

Paperback Published: 25th November 1993
ISBN: 9780198545972
Number Of Pages: 248

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Fractals: A User's Guide for the Natural Sciences explains Mandelbrot's fractal geometry and describes some of its applications in the natural world. Written to enable students and researchers to master the methods of this timely subject, the book steers a middle course between the formality of many papers in mathematics and the informality of picture-oriented books on fractals. It is both a logically developed text and a `fractals for users' handbook.Fractal geometry exploits a characteristic property of the real world self-similarity - to find simple rules for the assembly of complex natural objects. Beginning with the foundations of measurement in Euclidean geometry, the authors progress from analogues in the geometry of random fractals to illustrative applications spanning the natural sciences: the developmental biology of neurons and pancreatic islets; fluctuations of bird populations; patterns in vegetative ecosystems; and even earthquake models. The final section provides a toolbox of user-ready programs. This volume is an essential resource for all natural scientists interested in working with fractals.

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

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

ISBN: 9780198545972
ISBN-10: 0198545975
Series: Oxford Science Publications
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 248
Published: 25th November 1993
Country of Publication: GB
Dimensions (cm): 23.22 x 15.7  x 1.37
Weight (kg): 0.43