Growth and Diffusion Phenomena. Texts in Applied Mathematics, Band 14

Seitenzahl:

455

Gewicht:

689 g

Erschienen bei:

Springer

Beschreibung

Diffusion and growth phenomena abound in the real world
surrounding us. Someexamples: 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
forthe analysis and display of many of these. The models
developed and utilizedcommence 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
ormodel 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.

Kurzbeschreibung

Diffusion and growth phenomena abound in the real worldsurrounding us. Someexamples: growth of the world'spopulation, growth rates of humans, public interest in newsevents, growth and decline of central city populations,pollution of rivers, adoption of agricultural innovations,and spreading of epidemics and migration of insects. Theseand numerous other phenomena are illustrations of typicalgrowth and diffusion problems confronted in many branches ofthe physical, biological and social sciences as well as invarious areas of agriculture, business, education,engineering medicine and public health. The book presents alarge number of mathematical models to provide frameworksforthe analysis and display of many of these. The modelsdeveloped and utilizedcommence with relatively simpleexponential, logistic and normal distribution functions.Considerable attention is given to time dependent growthcoefficients and carrying capacities. The topics of discreteand distributed time delays, spatial-temporal diffusion anddiffusion with reaction are examined. Throughout the bookthere are a great many numerical examples. In addition andmost importantly, there are more than 50 in-depth"illustrations" of the application of a particular frameworkormodel based on real world problems. These examplesprovide the reader with an appreciation of the intrinsicnature of the phenomena involved. They address mainlyreaders from the physical, biological, and social sciences,as the only mathematical background assumed is elementarycalculus. Methods are developed as required, and the readercan thus acquire useful tools for planning, analyzing,designing,and evaluating studies of growth transfer anddiffusion phenomena. The book draws on the author's ownhands-on experience in problems of environmental diffusionand dispersion, as well as in technology transfer andinnovation diffusion.

Mehr über...

Mehr über:  Mathematik, Phänomen, Stadtentwicklung, Wachsen, Landwirtschaft, Diffusion, Wachstum, Interdisziplinarität, Mathematisches Modell, Transfer

Mehr von: 

Mehr von:  Robert B. Banks, Springer-Verlag GmbH