LISP 1.5 Programmer's Manual
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The purpose of this paper is to describe and illustrate a program, written for the IBM 7090, which defines a model for a finite collection of algebras for the computer. It is shown that the program contains a structure broad enough in scope to allow one to perform operations on such diverse mathematical concepts as differential equations, infinite series, and differential forms in a simple yet comprehensive manner, while also serving as a foundation upon which a variety of higher-level symbolic manipulation languages can be developed.