Mathematical Modeling [electronic resource] / by Christof Eck, Harald Garcke, Peter Knabner.

By: Eck, Christof [author.]Contributor(s): Garcke, Harald | Knabner, PeterMaterial type: TextTextSeries: Springer Undergraduate Mathematics SeriesPublisher: Cham : Springer International Publishing : Imprint: Springer, 2017Edition: 1st ed. 2017Description: XV, 509 p. 107 illus., 2 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319551616Subject(s): Mathematical models | Mathematical Modeling and Industrial MathematicsDDC classification: 003.3 LOC classification: TA342-343Online resources: Click here to access online
Contents:
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.-.
Summary: 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.
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Item type Current library Call number Status Date due Barcode Item holds
e-Books e-Books Central Library, Sikkim University
003.3 (Browse shelf(Opens below)) Not for loan E-3021
Total holds: 0

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.

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