Fractals: A Users Guide for the Natural Sciences

Paperback | February 1, 1992

byHarold M. Hastings, George Sugihara

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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 formalityof 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 toillustrative 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 anessential resource for all natural scientists interested in working with fractals.

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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 formalityof many papers in mathematics and the inform...

Harold M. Hastings is at Hofstra College, Hempstead, New York. George Sugihara is at University of California, San Diego.
Format:PaperbackDimensions:248 pages, 9.21 × 6.14 × 0.55 inPublished:February 1, 1992Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198545975

ISBN - 13:9780198545972

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Table of Contents

I. Introduction. Our view of natureII. The Mathematics of Random Fractals. Fractals and power law scaling1. Dimension of graphs of functions2. The Fourier transformIII. The Bridge to Applications. Modelling spatial and temporal patterns. 3. Alternative models4. Examples5. Fractal analysis of time seriesIV. Case Studies. Pattern and process in vegetative ecosystems6. Scaling behaviour of density-dependent populations under random noiseV. The Toolbox. Programs/Annotated referencesIndex

Editorial Reviews

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