Characteristic Features• Includes nearly 4,000 linear partial differential equations (PDEs) with solutions• Presents solutions to numerous problems relevant to heat and mass transfer, wave theory, hydrodynamics, aerodynamics, elasticity, acoustics, electrodynamics, diffraction theory, quantum mechanics, chemical engineering sciences, electrical engineering, and other fields• Outlines basic analytical methods for solving various problems in science and engineering• Contains many more linear PDEs, problems, solutions, and transformations than any other book currently available• Provides a database of test problems for numerical and approximate analytical methods for solving linear PDEs and systems of coupled PDEs. New to the Third Edition• Chapter on linear ODEs and PDEs with delays• Chapter on linear ODEs and PDEs with fractional derivatives• Some individual PDEs, solutions, transformations, formulas, and problems• Two sections on special functions used to solve linear ODEs and PDEs with delay or fractional derivatives. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, and they outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity.