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.
