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100   $a20170412d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMathematical Modeling /$fby Christof Eck, Harald Garcke, Peter Knabner
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XV, 509 p. 107 illus., 2 illus. in color.) 
225 1 $aSpringer Undergraduate Mathematics Series,$x1615-2085
311   $a3-319-55160-4 
320   $aIncludes bibliographical references and index.
327   $a1Introduction -- 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.-.
330   $aMathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application. Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.
410  0$aSpringer Undergraduate Mathematics Series,$x1615-2085
606   $aMathematical models
606   $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068
615  0$aMathematical models.
615 14$aMathematical Modeling and Industrial Mathematics.
676   $a003.3
700   $aEck$b Christof$4aut$4http://id.loc.gov/vocabulary/relators/aut$0503096
702   $aGarcke$b Harald$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aKnabner$b Peter$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254308503321
996   $aMathematical Modeling$92129523
997   $aUNINA