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Mathematical modeling

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mathematical modeling/ by Christof Eck, Harald Garcke, Peter Knabner.
Author:	Eck, Christof.
other author:	Garcke, Harald.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xv, 509 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Mathematical models. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-55161-6
ISBN:	9783319551616

Mathematical modeling
Eck, Christof.

Mathematical modeling[electronic resource] /by Christof Eck, Harald Garcke, Peter Knabner. - Cham :Springer International Publishing :2017. - xv, 509 p. :ill. (some col.), digital ;24 cm. - Springer undergraduate mathematics series,1615-2085. - Springer undergraduate mathematics series..

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.

ISBN: 9783319551616

Standard No.: 10.1007/978-3-319-55161-6doiSubjects--Topical Terms:

527886
Mathematical models.

LC Class. No.: QA401

Dewey Class. No.: 511.8

Mathematical modeling
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505 0 $a 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.
520 $a 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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