Mathematical Modeling

Nonfiction, Science & Nature, Mathematics, Applied
Cover of the book Mathematical Modeling by Christof Eck, Harald Garcke, Peter Knabner, Springer International Publishing
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Author: Christof Eck, Harald Garcke, Peter Knabner ISBN: 9783319551616
Publisher: Springer International Publishing Publication: April 11, 2017
Imprint: Springer Language: English
Author: Christof Eck, Harald Garcke, Peter Knabner
ISBN: 9783319551616
Publisher: Springer International Publishing
Publication: April 11, 2017
Imprint: Springer
Language: English

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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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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