Nature s Patterns and the Fractional Calculus is popular PDF and ePub book, written by Bruce J. West in 2017-09-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Nature s Patterns and the Fractional Calculus can be Read Online from any device for your convenience.
Nature s Patterns and the Fractional Calculus Book PDF Summary
Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system’s functionality on its size, by means of an allometry relation, is argued to be a consequence of their joint dependency on complexity (information). In turn, complexity is proven to be the source of allometry and to provide a new kind of force entailed by a system‘s information gradient. Based on first principles, the scaling behavior of the probability density function is determined by the exact solution to a set of fractional differential equations. The resulting lowest order moments in system size and functionality gives rise to the empirical allometry relations. Taking examples from various topics in nature, the book is of interest to researchers in applied mathematics, as well as, investigators in the natural, social, physical and life sciences. Contents Complexity Empirical allometry Statistics, scaling and simulation Allometry theories Strange kinetics Fractional probability calculus
Detail Book of Nature s Patterns and the Fractional Calculus PDF
- Author : Bruce J. West
- Release : 11 September 2017
- Publisher : Walter de Gruyter GmbH & Co KG
- ISBN : 9783110535136
- Genre : Mathematics
- Total Page : 214 pages
- Language : English
- PDF File Size : 21,9 Mb
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