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Non-Local Partial Differential Equations for Engineering and Biology - Mathematical Modeling and Analysis (Hardcover, 1st ed. 2018) Loot Price: R2,187
Discovery Miles 21 870
You Save: R716 (25%)
Non-Local Partial Differential Equations for Engineering and Biology - Mathematical Modeling and Analysis (Hardcover, 1st ed....

Non-Local Partial Differential Equations for Engineering and Biology - Mathematical Modeling and Analysis (Hardcover, 1st ed. 2018)

Nikos I. Kavallaris, Takashi Suzuki

Series: Mathematics for Industry, 31

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List price R2,903 Loot Price R2,187 Discovery Miles 21 870 | Repayment Terms: R203 pm x 12* You Save R716 (25%)

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This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering. The authors then employ a number of models in bio-science and material science to demonstrate applications, and provide recent advanced studies, both on deterministic non-local partial differential equations and on some of their stochastic counterparts used in engineering. Mathematical models applied in engineering, chemistry, and biology are subject to conservation laws. For instance, decrease or increase in thermodynamic quantities and non-local partial differential equations, associated with the conserved physical quantities as parameters. These present novel mathematical objects are engaged with rich mathematical structures, in accordance with the interactions between species or individuals, self-organization, pattern formation, hysteresis. These models are based on various laws of physics, such as mechanics of continuum, electro-magnetic theory, and thermodynamics. This is why many areas of mathematics, calculus of variation, dynamical systems, integrable systems, blow-up analysis, and energy methods are indispensable in understanding and analyzing these phenomena. This book aims for researchers and upper grade students in mathematics, engineering, physics, economics, and biology.

General

Imprint: Springer International Publishing AG
Country of origin: Switzerland
Series: Mathematics for Industry, 31
Release date: December 2017
First published: 2018
Authors: Nikos I. Kavallaris • Takashi Suzuki
Dimensions: 235 x 155mm (L x W)
Format: Hardcover
Pages: 300
Edition: 1st ed. 2018
ISBN-13: 978-3-319-67942-6
Categories: Books > Science & Mathematics > Mathematics
Books > Science & Mathematics > Biology, life sciences
Books > Professional & Technical > Industrial chemistry & manufacturing technologies
Books > Professional & Technical > Mechanical engineering & materials
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis
Books > Science & Mathematics > Mathematics > Applied mathematics
Books > Science & Mathematics > Biology, life sciences > General
Books > Professional & Technical > Industrial chemistry & manufacturing technologies > Industrial chemistry
Books > Professional & Technical > Mechanical engineering & materials > Materials science
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
Books > Professional & Technical > Industrial chemistry & manufacturing technologies > Industrial chemistry > General
Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids
Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General
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LSN: 3-319-67942-2
Barcode: 9783319679426

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