Partial Differential Equations of Mathematical Physics: Corrected Edition

Book Details:

• Author: Arthur Gordon Webster

• Publisher: Dover

• Edition: 2nd

• Binding: Paperback

• Release Date: 20-06-2016

• ISBN: 0800759805150

• Language: English

• Pages: 446

• Cover: Paperback

• Dimensions: 8.5 x 5.5 x 1.1 inches

About The Book:

A Treatise on the Theory and Application of Partial Differential Equations by Arthur Gordon Webster is a classic text offering a comprehensive and detailed study of partial differential equations (PDEs). Written by one of America's leading early mathematical physicists, this book is not only an essential resource for students but also serves as a valuable reference for mathematicians, physicists, and research engineers.

Webster covers the fundamental theory, methods, and applications of PDEs, beginning with Fourier series, integral equations, and elliptic equations. The book explores a range of advanced topics, such as spherical, cylindrical, and ellipsoidal harmonics, Cauchy's method, boundary problems, and the Riemann-Volterra method. The treatment of PDEs is self-contained, thoroughly explaining their application in various fields, including vibration, elasticity, potential theory, sound theory, wave propagation, and heat conduction.

This volume also includes an informative Appendix, providing background material on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations. It is an indispensable work for anyone engaged in the study or application of mathematical physics.