000			03647nam a22005055i 4500
001			978-3-540-87864-3
003			DE-He213
005			20140220084521.0
007			cr nn 008mamaa
008			100427s2010 gw | s |||| 0|eng d
020			_a9783540878643 _9978-3-540-87864-3
024	7		_a10.1007/b138494 _2doi
050		4	_aQC19.2-20.85
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.1 _223
100	1		_aNakayama, Tsuneyoshi. _eauthor.
245	1	0	_aHigher Mathematics for Physics and Engineering _h[electronic resource] : _bMathematical Methods for Contemporary Physics / _cby Tsuneyoshi Nakayama, Hiroyuki Shima.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_aXXI, 702 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPreliminaries -- I Real Analysis -- Real Sequences and Series -- Real Functions -- II Functional Analysis -- Hilbert Spaces -- Orthonormal Polynomials -- Lebesgue Integrals -- III Complex Analysis -- Complex Functions -- Singularity and Continuation -- Contour Integrals -- Conformal Mapping -- IV Fourier Analysis -- Fourier Series -- Fourier Transformation -- Laplace Transformation -- Wavelet Transformation -- V Differential Equations -- Ordinary Differential Equations -- System of Ordinary Differential Equations -- Partial Differential Equations -- VI Tensor Analyses -- Cartesian Tensors -- Non-Cartesian Tensors -- Tensor as Mapping.
520			_aDue to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.
650		0	_aPhysics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aMathematics.
650		0	_aMathematical physics.
650		0	_aEngineering mathematics.
650	1	4	_aPhysics.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
650	2	4	_aAppl.Mathematics/Computational Methods of Engineering.
650	2	4	_aApplications of Mathematics.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aAnalysis.
700	1		_aShima, Hiroyuki. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540878636
856	4	0	_uhttp://dx.doi.org/10.1007/b138494
912			_aZDB-2-PHA
999			_c111267 _d111267