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Mathematical Modeling

Mathematical Modeling
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Field name Details
Dewey Class 003.3
Title Mathematical Modeling ([EBook]) / by Christof Eck, Harald Garcke, Peter Knabner.
Author Eck, Christof
Added Personal Name Garcke, Harald author.
Knabner, Peter author.
Other name(s) SpringerLink (Online service)
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2017.
Physical Details XV, 509 p. 107 illus., 2 illus. in color. : online resource.
Series Springer undergraduate mathematics series 1615-2085
ISBN 9783319551616
Summary Note 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.:
Contents note 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.-.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-55161-6
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