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Könyv Growth and Diffusion Phenomena Robert B. Banks

Growth and Diffusion Phenomena

Mathematical Frameworks and Applications

Szerző: Robert B. Banks
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Elérhetőség: Beszállítói készleten alacsony példányszámban
Küldés 13-18 napon belül
20 565 Ft
Diffusion and growth phenomena abound in the real world surrounding us. Some examples: growth of the...

Információk a könyvről

Szerző
Robert B. Banks
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
1993
oldal
455
EAN
9783540555070
ISBN
3540555072
Enbook ID
05274257
Kiadó
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Súly
1870
Méretek
156 x 234 x 24

Teljes leírás

Diffusion and growth phenomena abound in the real world surrounding us. Some examples: 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 ofthe 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 hands-on experience in problems of environmental diffusion and dispersion, as well as in technology transfer and innovation diffusion.

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