This insightful work explains Mandelbrot's fractal geometry and describes some of its most interesting applications. 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 applications spanning the natural sciences, including the developmental biology of neurons and pancreatic islets, fluctuations of bird populations, patterns in vegetative ecosystems, and even earthquake models. 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-orientated books on fractals. It is both a logically developed text and an essential "fractals for users" handbook. It is an essential resource for researchers and students in ecology, biology, applied mathematics, and plant and environmental sciences.
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Harold M. Hastings is at Hofstra College, Hempstead, New York. George Sugihara is at University of California, San Diego.
"About this title" may belong to another edition of this title.
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Paperback. Condition: Very Good. 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. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Seller Inventory # GOR004242296
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