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＜E-Book＞
Mathematical Modeling / by Christof Eck, Harald Garcke, Peter Knabner
(Springer Undergraduate Mathematics Series. ISSN:21974144)

Edition	1st ed. 2017.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2017
Language	English
Size	XV, 509 p. 107 illus., 2 illus. in color : online resource
Authors	*Eck, Christof author Garcke, Harald author Knabner, Peter author SpringerLink (Online service)
Subjects	LCSH:Mathematical models FREE:Mathematical Modeling and Industrial Mathematics
Notes	1Introduction -- 2 Systems of Linear Equations -- 3 Basic Principles of Thermodynamics -- 4 Ordinary Differential Equations -- 5 Continuum Mechanics -- 6 Partial Differential Equations -- 7 Free Boundary Problems.- Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application. Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively HTTP:URL=https://doi.org/10.1007/978-3-319-55161-6

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