000 02774nam a22004695i 4500
001 978-3-319-55161-6
003 DE-He213
005 20200812133421.0
007 cr nn 008mamaa
008 170412s2017 gw | s |||| 0|eng d
020 _a9783319551616
_9978-3-319-55161-6
024 7 _a10.1007/978-3-319-55161-6
_2doi
040 _cCUS
050 4 _aTA342-343
072 7 _aPBWH
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBWH
_2thema
072 7 _aTBJ
_2thema
082 0 4 _a003.3
_223
100 1 _aEck, Christof.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMathematical Modeling
_h[electronic resource] /
_cby Christof Eck, Harald Garcke, Peter Knabner.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXV, 509 p. 107 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Undergraduate Mathematics Series,
_x1615-2085
505 0 _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.-.
520 _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.
650 0 _aMathematical models.
650 1 4 _aMathematical Modeling and Industrial Mathematics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M14068
700 1 _aGarcke, Harald.
700 1 _aKnabner, Peter.
830 0 _aSpringer Undergraduate Mathematics Series,
_x1615-2085
856 4 0 _uhttps://doi.org/10.1007/978-3-319-55161-6
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
942 _cEBK
999 _c207173
_d207173