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Growth and Diffusion Phenomena: Mathematical Frameworks and Applications - Couverture rigide

Livre 31 sur 55: Texts in Applied Mathematics

Banks, Robert B.

 
9783540555070: Growth and Diffusion Phenomena: Mathematical Frameworks and Applications
Couverture rigide
ISBN 10 : 3540555072 ISBN 13 : 9783540555070
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1993

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de la quatrième de couverture

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'édition
1993
Langue
anglais
ISBN 10 
3540555072
ISBN 13 
9783540555070
Reliure
Relié
Nombre de pages
474
Éditeur
John F.
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