02815nam 22005055 450 991025430850332120251113185052.03-319-55161-210.1007/978-3-319-55161-6(CKB)3850000000027374(DE-He213)978-3-319-55161-6(MiAaPQ)EBC5577544(PPN)20051282X(EXLCZ)99385000000002737420170412d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierMathematical Modeling /by Christof Eck, Harald Garcke, Peter Knabner1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XV, 509 p. 107 illus., 2 illus. in color.) Springer Undergraduate Mathematics Series,2197-41443-319-55160-4 Includes bibliographical references and index.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.Springer Undergraduate Mathematics Series,2197-4144Mathematical modelsMathematical Modeling and Industrial MathematicsMathematical models.Mathematical Modeling and Industrial Mathematics.003.3Eck Christofauthttp://id.loc.gov/vocabulary/relators/aut503096Garcke Haraldauthttp://id.loc.gov/vocabulary/relators/autKnabner Peterauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254308503321Mathematical Modeling2129523UNINA