Eck / Garcke / Knabner Mathematical Modeling

1. Auflage 2017
ISBN: 978-3-319-55161-6
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 509 Seiten, eBook

Reihe: Springer Undergraduate Mathematics Series

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.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Eck, Christof

Garcke, Harald

Knabner, Peter

Inhaltsverzeichnis

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.-

Über Autor(innen)

Prof. Dr. Christof Eck, Prof. Dr. Harald Garcke, Universität Regensburg Prof. Dr. Peter Knabner, Universität Erlangen