000			03222nam a22005175i 4500
001			978-0-387-23217-1
003			DE-He213
005			20170628033230.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780387232171 _9978-0-387-23217-1
024	7		_a10.1007/b100957 _2doi
050		4	_aTA329-348
050		4	_aTA640-643
072		7	_aTBJ _2bicssc
072		7	_aMAT003000 _2bisacsh
082	0	4	_a519 _223
100	1		_aJohnson, R. S. _eauthor.
245	1	0	_aSingular Perturbation Theory _h[electronic resource] : _bMathematical and Analytical Techniques with Applications to Engineering / _cby R. S. Johnson.
264		1	_aBoston, MA : _bSpringer US, _c2005.
300			_aXVI, 292 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aMathematical Preliminaries -- Introductory Applications -- Further Applications -- The Method of Multiple Scales -- Some Worked Examples Arising from Physical Problems.
520			_aMany areas of science and engineering produce difficult mathematical problems , i.e., problems that cannot be solved in any conventional sense. In many cases, against all the apparent odds, it is possible to construct systematic approximations that lead to useful solutions. The most powerful of these approximation techniques is singular perturbation theory. Singular Perturbation Theory introduces all the background ideas to this subject, designed for those with only the most superficial familiarity with university-level mathematics. The methods are developed through worked examples and set exercises (with answers); the latter part of the book is devoted to applications drawn from: mechanics, physics, semi- and superconductor theory, fluid mechanics, thermal processes, chemical and biochemical reactions. In a novel approach, these are grouped together so that the reader with particular interests can readily access them. This book is based on material that has been taught, mainly by the author, to MSc and research students in applied mathematics and engineering mathematics at the University of Newcastle upon Tyne over the last thirty years. The aim of this text is to make all the material readily accessible to the reader who wishes to learn and use the ideas to help with research problems and who does not have a strong mathematical background.
650		0	_aEngineering.
650		0	_aDifferential Equations.
650		0	_aMathematics.
650		0	_aMathematical physics.
650		0	_aEngineering mathematics.
650		0	_aHydraulic engineering.
650	1	4	_aEngineering.
650	2	4	_aAppl.Mathematics/Computational Methods of Engineering.
650	2	4	_aApplications of Mathematics.
650	2	4	_aMathematical and Computational Physics.
650	2	4	_aEngineering Fluid Dynamics.
650	2	4	_aOrdinary Differential Equations.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387232003
856	4	0	_uhttp://dx.doi.org/10.1007/b100957
912			_aZDB-2-ENG
999			_c14238 _d14238