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Growth and Diffusion Phenomena - Mathematical Frameworks and Applications (Hardcover, 1994 ed.)
Loot Price: R1,664
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Growth and Diffusion Phenomena - Mathematical Frameworks and Applications (Hardcover, 1994 ed.)
Series: Texts in Applied Mathematics, 14
Expected to ship within 18 - 22 working days
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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.
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