000			05022nam a22003735i 4500
001			281711
003			MX-SnUAN
005			20160429154118.0
007			cr nn 008mamaa
008			150903s2012 xxu| o |||| 0|eng d
020			_a9780817682651 _99780817682651
024	7		_a10.1007/9780817682651 _2doi
035			_avtls000333720
039		9	_a201509030218 _bVLOAD _c201404130521 _dVLOAD _c201404092310 _dVLOAD _y201402041118 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA370-380
100	1		_aDebnath, Lokenath. _eautor _9306259
245	1	0	_aNonlinear Partial Differential Equations for Scientists and Engineers / _cby Lokenath Debnath.
250			_aThird Edition.
264		1	_aBoston : _bBirkhäuser Boston, _c2012.
300			_axxiii, 860 páginas 104 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aPreface to the Third Edition -- Preface -- Linear Partial Differential Equations -- Nonlinear Model Equations and Variational Principles -- First-Order, Quasi-Linear Equations and Method of Characteristics -- First-Order Nonlinear Equations and Their Applications -- Conservation Laws and Shock Waves -- Kinematic Waves and Real-World Nonlinear Problems -- Nonlinear Dispersive Waves and Whitham's Equations -- Nonlinear Diffusion-Reaction Phenomena -- Solitons and the Inverse Scattering Transform -- The Nonlinear Schroedinger Equation and Solitary Waves -- Nonlinear Klein--Gordon and Sine-Gordon Equations -- Asymptotic Methods and Nonlinear Evolution Equations -- Tables of Integral Transforms -- Answers and Hints to Selected Exercises -- Bibliography -- Index.
520			_aAn exceptionally complete overview of the latest developments in the field of PDEs. There are numerous examples and the emphasis is on applications to almost all areas of science and engineering. There is truly something for everyone here. —Applied Mechanics Review (Review of First Edition) Overall, it is a useful book for teaching, a rich source of examples, and I am happy to have it on a shelf of my library. —UK Nonlinear News (Review of Second Edition) The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their various current applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications have been chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation.   The book gives thorough coverage of the derivation and solution methods for all fundamental nonlinear model equations, such as Korteweg–de Vries, Camassa–Holm, Degasperis–Procesi, Euler–Poincaré, Toda lattice, Boussinesq, Burgers, Fisher, Whitham, nonlinear Klein–Gordon, sine-Gordon, nonlinear Schrödinger, nonlinear reaction-diffusion, and Euler–Lagrange equations. Other topics and key features include:   * Improved presentations of results, solution methods, and proofs. * Solitons, gravity-capillary solitary waves, and the Inverse Scattering Transform. * Special emphasis on compactons, intrinsic localized modes, and nonlinear instability of dispersive waves with applications to water waves and wave breaking phenomena. * New section on the Lorenz nonlinear system, the Lorenz attractor, and deterministic chaos, and new examples of nonlinear quasi-harmonic waves, modulational instability, nonlinear lattices, and the Toda lattice equation. * Over 1000 worked-out examples and end-of-chapter exercises with expanded hints and answers to selected exercises. * Two new appendices on some special functions and their basic properties, Fourier series, generalized functions, and Fourier and Laplace transforms, with algebraic and analytical properties of convolutions and applications. * Many aspects of modern theory that will put the reader at the forefront of current research. * Completely updated list of references and enlarged index. Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already complete and accessible resource for senior undergraduate and graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, a research reference, or a self-study guide.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817682644
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-8265-1 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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