TY  - BOOK
AU  - Eck,Christof
AU  - Garcke,Harald
AU  - Knabner,Peter
TI  - Mathematical Modeling
T2  - Springer Undergraduate Mathematics Series,
SN  - 9783319551616
AV  - TA342-343 
U1  - 003.3 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematical models
KW  - Mathematical Modeling and Industrial Mathematics
N1  - 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.-
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-55161-6
ER  -