Some Aspects of the Mathematical Formulation and Solution of Real Problems

Abstract

The application of mathematics to the solution of real problems requires an understanding of the nature of the system involved. Thus, the prime importance of problem formulation is stressed and certain physical situations which may be specified by the same form of integro‐differential equations are cited as analogous situations.

The property of linearity is defined in terms of linear operations and linear circuits. The complete analysis of a lumped circuit is derived from the differential equation and the concept of steady‐state analysis is introduced, with a view to certain applications to be covered in a later article. It is intended that this article will cover both the time and the frequency domain approach to the solution of problems met in practice.