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Growth and Diffusion Phenomena

Name: Growth and Diffusion Phenomena
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540555070
Price: 50.04 EUR
Availability: InStock

Mathematical Frameworks and Applications

Autor: Robert B. Banks

Jazyk:

Väzba: Pevná

Vydavateľ: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostupnosť: Skladom u dodávateľa

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50.04 €

Diffusion and growth phenomena abound in the real world surrounding us. Some examples: growth of the...

Informácie o knihe

Autor

Robert B. Banks

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

1993

Stránok

455

EAN

9783540555070

ISBN

3540555072

Enbook ID

05274257

Vydavateľ

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnosť

1870

Rozmery

156 x 234 x 24

Kompletný popis

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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Growth and Diffusion Phenomena

Mathematical Frameworks and Applications

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