"Mathematical Modeling is very well written and provides a rigorous introduction to the mathematical modeling of problems from physics and engineering. It is well suited as a text for mathematical modeling courses at the undergraduate and graduate levels that focus on classical deterministic models at continuous scales." (Laura A. Miller, SIAM Review, Vol. 61 (2), 2019)
"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)

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.-

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