๐”– Scriptorium
โœฆ   LIBER   โœฆ

๐Ÿ“

Growth and Diffusion Phenomena: Mathematical Frameworks and Applications

โœ Scribed by Robert B. Banks


Publisher
Springer
Year
1993
Tongue
French
Leaves
456
Series
Texts in Applied Mathematics
Edition
1994
Category
Library

โฌ‡  Acquire This Volume

No coin nor oath required. For personal study only.

โœฆ Synopsis


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 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 for the analysis and display of many of these. The models developed and utilised 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, analysing, 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.


๐Ÿ“œ SIMILAR VOLUMES


Growth and diffusion phenomena : mathema
โœ Robert Banks ๐Ÿ“‚ Library ๐Ÿ“… 1994 ๐Ÿ› Springer-Verlag ๐ŸŒ English

Diffusion and growth phenomena abound in the real world surrounding us. Some examples are 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 spread

Growth and diffusion phenomena
โœ Robert B. Banks ๐Ÿ“‚ Library ๐Ÿ“… 2010 ๐Ÿ› Springer ๐ŸŒ English

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

Difference Equations and Inequalities:
โœ Ravi P. Agarwal ๐Ÿ“‚ Library ๐Ÿ“… 2000 ๐ŸŒ English

A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation