Fractals: A User's Guide for the Natural Sciences
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Product details:
- Publisher OUP Oxford
- Date of Publication 25 November 1993
- ISBN 9780198545972
- Binding Paperback
- No. of pages248 pages
- Size 235x156x14 mm
- Weight 376 g
- Language English
- Illustrations figures, tables 0
Categories
Short description:
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 researches to master the methods of this hot current topic, it 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.
MoreLong description:
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 programs
Provides a blend of motivation, geometry and detailed applications
Presents detailed case studies in ecosystem patterns and fluctuations of small populations
It 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.
'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
Table of Contents:
Part I. Introduction: Our view of nature
Part II. The Mathematics of Random Fractals: Fractals and power law scaling
Dimension of graphs of functions
The Fourier transform
Part III. The Bridge to Applications: Modelling spatial and temporal patterns
Alternative models
Examples
Fractal analysis of time series
Part IV. Case Studies: Pattern and process in vegetative ecosystems
Scaling behaviour of density-dependent populations under random noise
Part V. The Toolbox: Programs/Annotated references
Index
