000			03312nam a22005055i 4500
001			978-1-4419-7055-8
003			DE-He213
005			20160615111347.0
007			cr nn 008mamaa
008			101029s2011 xxu| s |||| 0|eng d
020			_a9781441970558 _9978-1-4419-7055-8
024	7		_a10.1007/978-1-4419-7055-8 _2doi
049			_aAlfaisal Main Library
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aTaylor, Michael E. _eauthor.
245	1	0	_aPartial Differential Equations I _h[electronic resource] : _bBasic Theory / _cby Michael E. Taylor.
250			_a2.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2011.
300			_aXXII, 654 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aApplied Mathematical Sciences, _x0066-5452 ; _v115
520			_aThe first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. In this second edition, there are seven new sections including Sobolev spaces on rough domains, boundary layer phenomena for the heat equation, the space of pseudodifferential operators of harmonic oscillator type, and an index formula for elliptic systems of such operators. In addition, several other sections have been substantially rewritten, and numerous others polished to reflect insights obtained through the use of these books over time. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: “These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted.” (SIAM Review, June 1998).
650		0	_aMathematics.
650		0	_aPartial differential equations.
650		0	_aManifolds (Mathematics).
650		0	_aComplex manifolds.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aManifolds and Cell Complexes (incl. Diff.Topology).
655		7	_aElectronic books. _2local
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441970541
830		0	_aApplied Mathematical Sciences, _x0066-5452 ; _v115
856	4	0	_uhttp://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/978-1-4419-7055-8
912			_aZDB-2-SMA
942			_2lcc _cEBOOKS
999			_c286891 _d286891