This collection of results on partial differential equations employs certain elementary identities for plane and spherical integrals of an arbitrary function, showing how a variety of results on fairly general differential equations follow from those identities. Explores the decomposition of arbitrary functions into functions of the type of plane waves; Radon transformation; more. 1955 edition. Unabridged republication of the edition published by Interscience Publishers, Inc., New York, 1955.
Here's a sample of other books in this Dover category
Introduction to Partial Differential Equations with Applications by E. C. Zachmanoglou, Dale W. Thoe This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
Introduction to Partial Differential Equations and Hilbert Space Methods by Karl E. Gustafson Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
The Radon Transform and Some of Its Applications by Stanley R. Deans Of value to mathematicians, physicists, and engineers, this excellent introduction covers both theory and applications, including a rich array of examples and literature. Revised and updated by the author. 1993 edition.
