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008			220601s2021 sz | s |||| 0|eng d
020			_a9783031024344
024	7		_a10.1007/978-3-031-02434-4 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aQA377 _b2021 EB
100	1		_aCosta, Peter J. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9687534
245	1	0	_aSelect Ideas in Partial Differential Equations _cby Peter J Costa
250			_a1st edition 2021
264		1	_aCham _bSpringer International Publishing _c2021
300			_a1 recurso en línea (XX, 214 páginas)
336			_atexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_aarchivo de texto _bPDF
490	0		_aSynthesis Lectures on Mathematics & Statistics _x1938-1751
505	0		_aPreface -- Acknowledgments -- Introduction -- The Equations of Maxwell -- Laplace's Equation -- Fourier Series, Bessel Functions, and Mathematical Physics -- Fourier Transform, Heat Conduction, and the Wave Equation -- The Three-Dimensional Wave Equation -- An Introduction to Nonlinear Partial Differential Equations -- Raman Scattering and Numerical Methods -- The Hartman-Grobman Theorem -- Appendix: MATLAB® Commands and Functions -- References -- Index.
520			_aThis text provides an introduction to the applications and implementations of partial differential equations. The content is structured in three progressive levels which are suited for upper-level undergraduates with background in multivariable calculus and elementary linear algebra (chapters 1-5), first- and second-year graduate students who have taken advanced calculus and real analysis (chapters 6-7), as well as doctoral-level students with an understanding of linear and nonlinear functional analysis (chapters 7-8) respectively. Level one gives readers a full exposure to the fundamental linear partial differential equations of physics. It details methods to understand and solve these equations leading ultimately to solutions of Maxwell's equations. Level two addresses nonlinearity and provides examples of separation of variables, linearizing change of variables, and the inverse scattering transform for select nonlinear partial differential equations. Level three presents rich sources of advanced techniques and strategies for the study of nonlinear partial differential equations, including unique and previously unpublished results. Ultimately the text aims to familiarize readers in applied mathematics, physics, and engineering with some of the myriad techniques that have been developed to model and solve linear and nonlinear partial differential equations.
988			_aSynthesis Collection of Technology_2021
650		7	_2embne _9139231 _aFísica matemática
650		7	_2embne _9139227 _aEcuaciones diferenciales
650		7	_2embne _9145456 _aEcuaciones en derivadas parciales
776	0	8	_iPrinted edition: _z9783031002809
776	0	8	_iPrinted edition: _z9783031013065
776	0	8	_iPrinted edition: _z9783031035623
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-02434-4 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b03/2023 _dz _esc _zSI