Operational Calculus and Generalized Functions

by Arthur Erdelyi

Overview

This brief monograph by a distinguished professor is based on a mathematics course offered at the California Institute of Technology. The majority of students taking this course were advanced undergraduates and graduate students of engineering. A solid background in advanced calculus is a prerequisite.
Topics include elementary and convergence theories of convolution quotients, differential equations involving operator functions, and exponential functions of operators. Tools developed in the preceding chapters are then applied to problems in partial differential equations. Solutions to selected problems appear at the end of the book.

Product Details

ISBN-13:	9780486497129
Publisher:	Dover Publications
Publication date:	07/17/2013
Series:	Dover Books on Mathematics Series
Pages:	110
Product dimensions:	5.20(w) x 8.30(h) x 0.40(d)

Table of Contents

1. Introduction
2. The Algebra of Convolution Quotients
3. Applications to Differential and Integral Equations
4. Convergence of Convolution Quotients. Operator Functions
5. Differential Equations for Operator Functions. Exponential Functions
6. The One-Dimensional Wave Equation
7. The One-Dimensional Diffusion Equation
References
Answers to Problems
Notations
Index