000 03141nam a22004335i 4500
001 u376055
003 SIRSI
005 20160812084354.0
007 cr nn 008mamaa
008 110701s2011 gw | s |||| 0|eng d
020 _a9783642203114
_9978-3-642-20311-4
040 _cMX-MeUAM
050 4 _aQ342
082 0 4 _a006.3
_223
100 1 _aHeinz, Stefan.
_eauthor.
245 1 0 _aMathematical Modeling
_h[recurso electrónico] /
_cby Stefan Heinz.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXVI, 460 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
520 _aThe whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, chemistry, and physics. This textbook gives an overview of the spectrum of modeling techniques, deterministic and stochastic methods, and first-principle and empirical solutions. Complete range: The text continuously covers the complete range of basic modeling techniques: it provides a consistent transition from simple algebraic analysis methods to simulation methods used for research. Such an overview of the spectrum of modeling techniques is very helpful for the understanding of how a research problem considered can be appropriately addressed. Complete methods: Real-world processes always involve uncertainty, and the consideration of randomness is often relevant. Many students know deterministic methods, but they do hardly have access to stochastic methods, which are described in advanced textbooks on probability theory. The book develops consistently both deterministic and stochastic methods. In particular, it shows how deterministic methods are generalized by stochastic methods. Complete solutions: A variety of empirical approximations is often available for the modeling of processes. The question of which assumption is valid under certain conditions is clearly relevant. The book provides a bridge between empirical modeling and first-principle methods: it explains how the principles of modeling can be used to explain the validity of empirical assumptions. The basic features of micro-scale and macro-scale modeling are discussed – which is an important problem of current research.
650 0 _aEngineering.
650 0 _aChemistry
_xMathematics.
650 0 _aMathematical physics.
650 1 4 _aEngineering.
650 2 4 _aComputational Intelligence.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
650 2 4 _aMath. Applications in Chemistry.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642203107
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-20311-4
596 _a19
942 _cLIBRO_ELEC
999 _c203935
_d203935