Mathematical Modeling / by Christof Eck, Harald Garcke, Peter Knabner.

Format:

Book

Author/Creator:

Eck, Christof., Author.

Garcke, Harald., Author.

Knabner, Peter., Author.

Series:

Springer Undergraduate Mathematics Series, 2197-4144

Language:

English

Subjects (All):

Mathematical models.

Mathematical Modeling and Industrial Mathematics.

Local Subjects:

Mathematical Modeling and Industrial Mathematics.

Physical Description:

1 online resource (XV, 509 p. 107 illus., 2 illus. in color.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

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.

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.-.

Notes:

Includes bibliographical references and index.

ISBN:

3-319-55161-2