Growth and Diffusion Phenomena: Mathematical Frameworks and Applications (Texts in Applied Mathematics)

Robert B. Banks, Martin Golubitsky, Jerrold E. Marsden, Lawrence Sirovich, W. Jager

ISBN 10: 0387555072 / ISBN 13: 9780387555072

Published by Springer Verlag, 1994

About this Item

First edition, first printing, 455 pp., hardcover, fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

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Bibliographic Details

• Title: Growth and Diffusion Phenomena: Mathematical Frameworks and Applications (Texts in Applied Mathematics)
• Publisher: Springer Verlag
• Publication Date: 1994
• Language: English
• ISBN 10: 0387555072
• ISBN 13: 9780387555072
• Binding: Hardcover
• Condition: Fine

About this title

Synopsis

Diffusion and growth phenomena abound in the real world surrounding us. Some examples are growth of the world's population, growth rates of humans, public interest in news events, growth and decline of central city populations, pollution of rivers, adoption of agricultural innovations, and spreading of epidemics and migration of insects. These and numerous other phenomena are illustrations of typical growth and diffusion problems confronted in many branches of the physical, biological and social sciences as well as in various areas of agriculture, business, education, engineering, medicine and public health.
The book presents a large number of mathematical models to provide frameworks for the analysis and display of many of these. The models developed and utilized commence with relatively simple exponential, logistic and normal distribution functions. Considerable attention is given to time dependent growth coefficients and carrying capacities. The topics of discrete and distributed time delays, spatial-temporal diffusion and diffusion with reaction are examined. Throughout the book there are a great many numerical examples. In addition and most importantly, there are more than 50 in-depth "illustrations" of the application of a particular framework or model based on real world problems. These examples provide the reader with an appreciation of the intrinsic nature of the phenomena involved. They address mainly readers from the physical, biological, and social sciences, as the only mathematical background assumed is elementary calculus. Methods are developed as required, and the reader can thus acquire useful tools for planning, analyzing, designing, and evaluating studies of growth, transfer and diffusion phenomena. The book draws on the author's own extensive experience in problems of environmental diffusion and dispersion, as well as in technology transfer and innovation diffusion.