000			05607cam a2200697Ka 4500
001			ocn714797102
003			OCoLC
005			20171119093136.0
006			m o d
007			cr cn|||||||||
008			110426s2011 gw ob 001 0 eng d
020			_a9783527634927 _q(electronic bk.)
020			_a3527634924 _q(electronic bk.)
020			_a9783527634941 _q(electronic bk.)
020			_a3527634940 _q(electronic bk.)
020			_a9783527634934
020			_a3527634932
020			_a9783527634958
020			_a3527634959
020			_a9781283173629
020			_a128317362X
020			_z9783527410200
020			_z3527410201
020			_z3527634932
020			_z3527634959
024	8		_a9786613173621
029	1		_aAU@ _b000047551163
029	1		_aDEBBG _bBV041910360
029	1		_aDEBSZ _b372899897
029	1		_aDEBSZ _b386925860
029	1		_aNZ1 _b13799201
029	1		_aNZ1 _b15340693
029	1		_aDEBBG _bBV043393000
035			_a(OCoLC)714797102 _z(OCoLC)743204686 _z(OCoLC)745563127 _z(OCoLC)747412817
037			_a10.1002/9783527634927 _bWiley InterScience _nhttp://www3.interscience.wiley.com
040			_aDG1 _beng _epn _cDG1 _dYDXCP _dIDEBK _dCDX _dE7B _dOCLCQ _dREDDC _dOCLCQ _dDEBSZ _dOCLCQ _dN$T _dOCLCF _dDEBBG _dOCLCQ _dEBLCP _dOCLCQ
049			_aMAIN
050		4	_aQC20.7.B6 _bW55 2011
072		7	_aSCI _x040000 _2bisacsh
082	0	4	_a530.15 _222
100	1		_aWillatzen, Morten.
245	1	0	_aSeparable boundary-value problems in physics / _cMorten Willatzen and Lok C. Lew Yan Voon. _h[electronic resource]
260			_aWeinheim : _bWiley-VCH Verlag, _c©2011.
300			_a1 online resource (xxi, 377 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
504			_aIncludes bibliographical references and index.
505	0		_aGeneral Theory -- Two-Dimensional Coordinate Systems. Rectangular Coordinates -- Circular Coordinates -- Elliptic Coordinates -- Parabolic Coordinates -- Three-Dimensional Coordinate Systems. Rectangular Coordinates -- Circular Cylinder Coordinates -- Elliptic Cylinder Coordinates -- Parabolic Cylinder Coordinates -- Spherical Polar Coordinates -- Prolate Spheroidal Coordinates -- Oblate Spheroidal Coordinates -- Parabolic Rotational Coordinates -- Conical Coordinates -- Ellipsoidal Coordinates -- Paraboloidal Coordinates -- Advanced Formulations. Differential-Geometric Formulation -- Quantum-Mechanical Particle Confined to the Neighborhood of Curves -- Quantum-Mechanical Particle Confined to Surfaces of Revolution -- Boundary Perturbation Theory -- Appendix A: Hypergeometric Functions -- Appendix B: Baer Functions -- Appendix C: Bessel Functions -- Appendix D: Lam̌ Functions -- Appendix E: Legendre Functions -- Appendix F: Mathieu Functions -- Appendix G: Spheroidal Wave Functions -- Appendix H: Weber Functions -- Appendix I: Elliptic Integrals and Functions.
520			_aInnovative developments in science and technology require a thorough knowledge of applied mathematics, particularly in the field of differential equations and special functions. These are relevant in modeling and computing applications of electromagnetic theory and quantum theory, e.g. in photonics and nanotechnology. The problem of solving partial differential equations remains an important topic that is taught at both the undergraduate and graduate level. <br />The proposed book has a very comprehensive coverage on partial differential equations in a variety of coordinate systems and geometry, and their solutions using the method of separation of variables. The treatment includes complete details on going from the basic theory (including separability conditions not presented in introductory texts) to full implementation for applications. A very good choice of examples is inspired by the authors? research on semiconductor nanostructures and metamaterials and include modern applications like quantum dots. <br />The fluency of the text and the high quality of graphics make the topic easy accessible. The organization of the content by coordinate systems rather than by equation types is unique and offers an easy access.<br />The authors consider recent research results which have led to a much increased pedagogical understanding of not just this topic but of many other related topics in mathematical physics, and which? like the explicit discussion on differential geometry shows - yet have not been treated in the older texts. To the benefit of the reader, a summary presents a convenient overview on all special functions covered. Homework problems are included as well as numerical algorithms for computing special functions. Thus this book can serve as a reference text for advanced undergraduate students, as a textbook for graduate level courses, and as a self-study book and reference manual for physicists, theoretically oriented engineers and traditional mathematicians.<br /><br />MA4300, PH2300 suitable for graduate level course; could serve as one of two main texts of a partial differential equations course.
588	0		_aPrint version record.
650		0	_aBoundary value problems.
650		7	_aSCIENCE _xPhysics _xMathematical & Computational. _2bisacsh
650		7	_aBoundary value problems. _2fast _0(OCoLC)fst00837122
655		4	_aElectronic books.
655		4	_aElectronic resource.
700	1		_aLew Yan Voon, Lok C.
776	0	8	_iPrint version: _z9786613173621
856	4	0	_uhttp://onlinelibrary.wiley.com/book/10.1002/9783527634927 _zWiley Online Library
942			_2ddc _cBK
999			_c204995 _d204995