02504cam a22004335i 4500 21683026 KENaKMTC 20211104073524.0 m |o d | cr ||||||||||| 170412s2017 gw |||| o |||| 0|eng 2019749250 9783319551616 10.1007/978-3-319-55161-6 doi (DE-He213)978-3-319-55161-6 DLC eng pn rda DLC MAT003000 bisacsh PBWH bicssc PBWH thema TBJ thema 003.3 23 Eck, Christof. author. Mathematical Modeling / by Christof Eck, Harald Garcke, Peter Knabner. 1st ed. 2017. 1 online resource (XV, 509 pages 107 illustrations, 2 illustrations in color.) Springer Undergraduate Mathematics Series, 1615-2085 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.-. 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. Mathematical models. Mathematical Modeling and Industrial Mathematics. Garcke, Harald. author. Knabner, Peter. author. Print version: Mathematical modeling. 9783319551609 (DLC) 2017935386 Printed edition: 9783319551609 Printed edition: 9783319551623 Springer Undergraduate Mathematics Series, 0 ibc origres u ncip 20 y-gencatlg lcc BK Vi 6659 6659