Mathematical Modeling /
Eck, Christof.
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 . - Springer Undergraduate Mathematics Series, .
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.
9783319551616
10.1007/978-3-319-55161-6 doi
2019749250
Mathematical models.
Mathematical Modeling and Industrial Mathematics.
003.3
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 . - Springer Undergraduate Mathematics Series, .
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.
9783319551616
10.1007/978-3-319-55161-6 doi
2019749250
Mathematical models.
Mathematical Modeling and Industrial Mathematics.
003.3