Partial differential equations form an essential part of the core mathematics syllabus for undergraduate scientists and engineers. The origins and applications of such equations occur in a variety of different fields, ranging from fluid dynamics, electromagnetism, heat conduction and diffusion, to quantum mechanics, wave propagation and general relativity. This volume introduces the important methods used in the solution of partial differential equations. Written primarily for second-year and final-year students taking physics and engineering courses, it should also be of value to mathematicians studying mathematical methods as part of their course. The text, which assumes only that the reader has followed a good basic first-year ancillary mathematics course, is self-contained.
Geoffrey Stephenson (Imperial College Univ Of London Uk)
Imperial College Press
Country of Publication:
New ed of 3 Revised ed
07 January 1996
Professional and scholarly
A / AS level
Basic concepts; classification of equations and boundary conditions; orthonormal functions; applications of Fourier's method; problems involving cylindrical and spherical symmetry; continuous eigenvalues and Fourier integrals; the Laplace transform; transform method for boundary value problems; Green's functions and generalized functions; the numerical approach; answers to problems.