Mathematical Modeling

  • Christof Eck
  • Harald Garcke
  • Peter Knabner

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Christof Eck, Harald Garcke, Peter Knabner
    Pages 1-36
  3. Christof Eck, Harald Garcke, Peter Knabner
    Pages 37-74
  4. Christof Eck, Harald Garcke, Peter Knabner
    Pages 75-129
  5. Christof Eck, Harald Garcke, Peter Knabner
    Pages 131-196
  6. Christof Eck, Harald Garcke, Peter Knabner
    Pages 197-302
  7. Christof Eck, Harald Garcke, Peter Knabner
    Pages 303-426
  8. Christof Eck, Harald Garcke, Peter Knabner
    Pages 427-487
  9. Back Matter
    Pages 489-509

About this book

Introduction

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.

Keywords

Differential Equations Continuum Mechanics Mathematical Modeling Free Boundary Problems Thermodynamics Linear Algebra

Authors and affiliations

  • Christof Eck
    • 1
  • Harald Garcke
    • 2
  • Peter Knabner
    • 3
  1. 1.Universität StuttgartStuttgartGermany
  2. 2.Fakultät für MathematikUniversität RegensburgRegensburgGermany
  3. 3.Department MathematikUniversität Erlangen-NürnbergErlangenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-55161-6
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-55160-9
  • Online ISBN 978-3-319-55161-6
  • Series Print ISSN 1615-2085
  • Series Online ISSN 2197-4144
  • About this book
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