Andrei D. Polyanin: Handbook of Linear Partial Differential Equations for Engineers and Scientists, Gebunden

Klappentext

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.