Springer Undergraduate Mathematics Series

Mathematical Modeling

Authors: Eck, Christof, Garcke, Harald, Knabner, Peter

  • Provides a well-structured introduction to the modeling process using mathematical structures as ordering principle
  • Contains a wealth of examples from applications in the natural and engineering sciences
  • The book starts with simple models based on linear algebra and ends up with complex models involving nonlinear PDEs and free boundaries
  • Contains more than 150 exercises with increasing difficulty
  • Of use both for undergraduate students as well as experienced researchers which aim to learn about the modeling process
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eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-55161-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-55160-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

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

Reviews

“The goal of this book (an English translation of a German text first published about ten years ago) is to teach undergraduate and graduate students the basic examples and techniques of mathematical modeling of real-world phenomena. … for a very well-prepared reader with a willingness to work hard, there is a wealth of interesting material to be found here.” (Mark Hunacek, MAA Reviews, maa.org, July, 2017)


Table of contents (7 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-55161-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-55160-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Modeling
Authors
Series Title
Springer Undergraduate Mathematics Series
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-55161-6
DOI
10.1007/978-3-319-55161-6
Softcover ISBN
978-3-319-55160-9
Series ISSN
1615-2085
Edition Number
1
Number of Pages
XV, 509
Number of Illustrations and Tables
105 b/w illustrations, 2 illustrations in colour
Topics