000			03509nam a22005415i 4500
001			978-3-319-55212-5
003			DE-He213
005			20220801221709.0
007			cr nn 008mamaa
008			170429s2017 sz | s |||| 0|eng d
020			_a9783319552125 _9978-3-319-55212-5
024	7		_a10.1007/978-3-319-55212-5 _2doi
050		4	_aTA349-359
072		7	_aTGB _2bicssc
072		7	_aTEC009070 _2bisacsh
072		7	_aTGB _2thema
082	0	4	_a620.1 _223
100	1		_aEpstein, Marcelo. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _957469
245	1	0	_aPartial Differential Equations _h[electronic resource] : _bMathematical Techniques for Engineers / _cby Marcelo Epstein.
250			_a1st ed. 2017.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2017.
300			_aXIII, 255 p. 66 illus., 9 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		_aMathematical Engineering, _x2192-4740
505	0		_aVector fields and ordinary differential equations -- Partial differential equations in engineering -- The single first-order quasi-liner PDE -- Shock waves -- The genuinely nonlinear first-order equation -- The second-order quasi-linear equation -- Systems of equations -- The one-dimensional wave equation -- Standing waves and separation of variables -- The diffusion equation -- The Laplace equation.
520			_aThis monograph presents a graduate-level treatment of partial differential equations (PDEs) for engineers. The book begins with a review of the geometrical interpretation of systems of ODEs, the appearance of PDEs in engineering is motivated by the general form of balance laws in continuum physics. Four chapters are devoted to a detailed treatment of the single first-order PDE, including shock waves and genuinely non-linear models, with applications to traffic design and gas dynamics. The rest of the book deals with second-order equations. In the treatment of hyperbolic equations, geometric arguments are used whenever possible and the analogy with discrete vibrating systems is emphasized. The diffusion and potential equations afford the opportunity of dealing with questions of uniqueness and continuous dependence on the data, the Fourier integral, generalized functions (distributions), Duhamel's principle, Green's functions and Dirichlet and Neumann problems. The target audience primarily comprises graduate students in engineering, but the book may also be beneficial for lecturers, and research experts both in academia in industry.
650		0	_aMechanics, Applied. _93253
650		0	_aDifferential equations. _957470
650		0	_aMathematical models. _94632
650	1	4	_aEngineering Mechanics. _931830
650	2	4	_aDifferential Equations. _957471
650	2	4	_aMathematical Modeling and Industrial Mathematics. _933097
710	2		_aSpringerLink (Online service) _957472
773	0		_tSpringer Nature eBook
776	0	8	_iPrinted edition: _z9783319552118
776	0	8	_iPrinted edition: _z9783319552132
776	0	8	_iPrinted edition: _z9783319855974
830		0	_aMathematical Engineering, _x2192-4740 _957473
856	4	0	_uhttps://doi.org/10.1007/978-3-319-55212-5
912			_aZDB-2-ENG
912			_aZDB-2-SXE
942			_cEBK
999			_c79949 _d79949