Partial Differential Equations for Scientists and Engineers

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 will 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 and is an unabridged republication of the third edition published by Longman in 1985.

List of contents

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.

Summary

This volume introduces the important methods used in the solution of partial differential equations. Aimed at 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.

Product details

• Authors: Geoff Stephenson, G. Stephenson, Geoff Stephenson, Geoffrey Stephenson, Geoffrey (Imperial College Stephenson, Stephenson Geoff, Stephenson Geoffrey
• Publisher: Imperial College Press
• Languages: English
• Product format: Paperback / Softback
• Released: 18.07.1996
• EAN: 9781860940248
• ISBN: 978-1-86094-024-8
• No. of pages: 176
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, Differential calculus & equations, Maths for scientists, Maths for engineers, Differential calculus and equations