Nature's Patterns and the Fractional Calculus (Hardcover)

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

General

Imprint:	De Gruyter
Country of origin:	Germany
Series:	Fractional Calculus in Applied Sciences and Engineering
Release date:	September 2017
First published:	2017
Authors:	Bruce J. West
Dimensions:	240 x 170 x 13mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	213
ISBN-13:	978-3-11-053411-5
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Biology, life sciences > Developmental biology Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Biology, life sciences > Life sciences: general issues > General Books > Science & Mathematics > Biology, life sciences > Human biology & related topics > General
LSN:	3-11-053411-8
Barcode:	9783110534115

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