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020 _a9780817643935
_a0817643931
041 _aeng
082 _a515.353 MYI-L
100 _aMyint-U, Tyn.
_983742
245 _aLinear partial differential equations for scientists and engineers
250 _a4th
260 _aBoston :
_bBirkhäuser,
_c2007
300 _axxii, 778p.: illustrations ; 24 cm.
500 _aOriginally published by North-Holland in 1987.
520 _aOne of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applications in every branch of applied mathematics, physics, and engineering, including fluid dynamics, elasticity, and optics. This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books, including conservation laws, the spherical wave equation, the cylindrical wave equation, higher-dimensional boundary-value problems, the finite element method, fractional partial differential equations, and nonlinearpartial differential equations with applications. Linear Partial Differential Equations for Scientists and Engineers, Fourth Edition will primarily serve as a textbook for the first two courses in PDEs, or in a course on advanced engineering mathematics. The book may also be used as a reference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering. Readers will gain a solid mathematical background in PDEs, sufficient to start interdisciplinary collaborative research in a variety of fields.
650 _aDifferential equations
_983743
650 _aPartial differential equations.
_983744
700 _aDebnath, Lokenath.
_983745
942 _cBK
999 _c200715
_d200715