Non-Local Partial Differential Equations for Engineering and Biology: Mathematical Modeling and Analysis: 31 (Mathematics for Industry, 31) - Hardcover
Synopsis
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 objectsare 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.
"synopsis" may belong to another edition of this title.
From the Back Cover
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 objectsare 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.
"About this title" may belong to another edition of this title.
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Non-Local Partial Differential Equations for Engineering and Biology. Mathematical Modeling and Analysis.
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Non-Local Partial Differential Equations for Engineering and Biology: Mathematical Modeling and Analysis (eng)
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Non-Local Partial Differential Equations for Engineering and Biology
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 objectsare 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. 320 pp. Englisch. Seller Inventory # 9783319679426
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Non-Local Partial Differential Equations for Engineering and Biology
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Non-Local Partial Differential Equations for Engineering and Biology (Hardcover)
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ISBN 10: 3319679422
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Hardcover. Condition: new. Hardcover. 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 objectsare 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. This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783319679426
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Non-Local Partial Differential Equations for Engineering and Biology : Mathematical Modeling and Analysis
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Non-Local Partial Differential Equations for Engineering and Biology: Mathematical Modeling and Analysis (Mathematics for Industry (31))
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Non-Local Partial Differential Equations for Engineering and Biology
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Highlights practical use of non-local models considering any possible spatial dependence on the neighboring points as well as neglecting any feasible memory effectsSupplies new mathematical methods for systems of PDE¿s with examples of applicationsExamines non-local models in MEMS technologiesSpringer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 320 pp. Englisch. Seller Inventory # 9783319679426
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Non-Local Partial Differential Equations for Engineering and Biology: Mathematical Modeling and Analysis
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Non-Local Partial Differential Equations for Engineering and Biology : Mathematical Modeling and Analysis
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