The method of quasilinearization is a combination of the properties of the high-speed digital computer with established linearization techniques in such a fashion that it can be used as a method of identifying parameters. The mathematics used in the program is developed in detail and an example is given of its use. Essentially the method is an efficient device of searching for unknown parameters existing in a set of algebraic or differential equations. The mathematical concepts are historical but the combination of historical mathematics with the high-speed digital computer yields new and useful results.