Mathematical modeling /

Mathematical modeling /

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Bibliographic Details
Author / Creator:	Eck, Christof, author.
Imprint:	Cham, Switzerland : Springer, 2017.
Description:	1 online resource (xv, 509 pages) : illustrations (some color)
Language:	English
Series:	Springer undergraduate mathematics series, 1615-2085 Springer undergraduate mathematics series,
Subject:	Mathematical models. Mathematical models.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11273432

Hidden Bibliographic Details
Other authors / contributors:	Garcke, Harald, author. Knabner, Peter, author.
ISBN:	9783319551616 3319551612 9783319551609 3319551604
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed April 20, 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.
Other form:	Printed edition: 9783319551609
Standard no.:	10.1007/978-3-319-55161-6

Table of 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.-