Name: Nature's Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering) (en Inglés)
Price: 180320.00 CLP
Availability: InStock
Author: Bruce J. West
ISBN: 9783110534115

portada Nature's Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering) (en Inglés)

Formato

Libro Físico

Editorial

De Gruyter

Autor

Bruce J. West

Año

2017

Idioma

Inglés

N° páginas

199

Encuadernación

Tapa Dura

ISBN13

9783110534115

N° edición

Categorías

Análisis complejo, variables complejas

Nature's Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering) (en Inglés)

Bruce J. West (Autor) · De Gruyter · Tapa Dura

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Reseña del libro "Nature's Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering) (en Inglés)"

Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a systems 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 systems 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. ContentsComplexityEmpirical allometryStatistics, scaling and simulationAllometry theoriesStrange kineticsFractional probability calculus