000 02411 a2200325 4500
001 TB12860
003 IN-BhIIT
005 20260818171715.0
008 260805b |||||||| |||| 00| 0 eng d
020 _a9789353432263 (paperback)
040 _aIN-BhIIT
041 _aeng
082 _a515.353
_bHAB/A
100 _aHaberman, Richard,
_eauthor.
_97775
245 _aApplied partial differential equations with fourier series and boundary value problems /
_cRichard Haberman.
250 _a5th edition.
260 _aNoida, Uttar Pradesh :
_bPearson India Education Services Pvt. Ltd.,
_c2012.
300 _axxiv, 784 pages :
_billustrations ;
_c24 cm.
500 _aIncludes numerous worked examples and applications in science and engineering.
504 _aIncludes bibliographical references and index.
505 _aHeat equation -- Method of separation of variables -- Fourier series -- Wave equation: vibrating strings and membranes -- Sturm-Liouville eigenvalue problems -- Finite difference numerical methods for partial differential equations -- Higher-dimensional partial differential equations -- Nonhomogeneous problems -- Green's functions for time-independent problems -- Fourier transform solutions of partial differential equations -- Green's functions for wave and heat equations -- Method of characteristics for linear and quasilinear wave equations -- Laplace transform solution of partial differential equations -- Dispersive waves, stability, nonlinearity, and perturbation methods.
520 _aThe book Applied Partial Differential Equations with Fourier Series and Boundary Value Problems provides a thorough introduction to analytical and numerical methods for solving partial differential equations. It covers the heat, wave, and Laplace equations, Fourier series, Sturm–Liouville theory, Green's functions, transform methods, finite difference methods, and perturbation techniques. Rich with worked examples and engineering applications, it is widely used by students of mathematics, physics, and engineering for understanding mathematical models of physical phenomena.
650 _aDifferential equations, Partial.
_9485
650 _aApplied mathematics.
_93038
650 _aEngineering mathematics.
_9117
650 _aTransformations (Mathematics)
_91694
650 _aFourier transformations
_91695
650 _aMathematical physics.
_92434
942 _cRES
999 _c15672
_d15672