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001 978-3-319-74684-5
003 DE-He213
005 20220801221152.0
007 cr nn 008mamaa
008 180213s2018 sz | s |||| 0|eng d
020 _a9783319746845
_9978-3-319-74684-5
024 7 _a10.1007/978-3-319-74684-5
_2doi
050 4 _aTA329-348
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
082 0 4 _a620.00151
_223
100 1 _aMarin, Marin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_954489
245 1 0 _aComplements of Higher Mathematics
_h[electronic resource] /
_cby Marin Marin, Andreas Öchsner.
250 _a1st ed. 2018.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2018.
300 _aVIII, 353 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aComplex Functions -- Special Functions -- Operational Calculus -- Fourier’s Transform -- Calculus of Variations -- Quasi-linear Equations -- Hyperbolical Equations -- Parabolic Equations -- Elliptic Partial Differential Equations -- Optimal Control.
520 _aThis book highlights the remarkable importance of special functions, operational calculus, and variational methods. A considerable portion of the book is dedicated to second-order partial differential equations, as they offer mathematical models of various phenomena in physics and engineering. The book provides students and researchers with essential help on key mathematical topics, which are applied to a range of practical problems. These topics were chosen because, after teaching university courses for many years, the authors have found them to be essential, especially in the contexts of technology, engineering and economics. Given the diversity topics included in the book, the presentation of each is limited to the basic notions and results of the respective mathematical domain. Chapter 1 is devoted to complex functions. Here, much emphasis is placed on the theory of holomorphic functions, which facilitate the understanding of the role that the theory of functions of a complex variable plays in mathematical physics, especially in the modeling of plane problems. In addition, the book demonstrates the importance of the theories of special functions, operational calculus, and variational calculus. In the last chapter, the authors discuss the basic elements of one of the most modern areas of mathematics, namely the theory of optimal control.
650 0 _aEngineering mathematics.
_93254
650 0 _aMathematical optimization.
_94112
650 0 _aCalculus of variations.
_917382
650 0 _aMathematical physics.
_911013
650 1 4 _aEngineering Mathematics.
_93254
650 2 4 _aCalculus of Variations and Optimization.
_931596
650 2 4 _aMathematical Physics.
_911013
700 1 _aÖchsner, Andreas.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_954490
710 2 _aSpringerLink (Online service)
_954491
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319746838
776 0 8 _iPrinted edition:
_z9783319746852
776 0 8 _iPrinted edition:
_z9783319892818
856 4 0 _uhttps://doi.org/10.1007/978-3-319-74684-5
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c79368
_d79368