Point calculus. Historical background and basic definitions

Abstract

The paper describes the history of the origin and formation the mathematical apparatus «Point calculus», as one of the scientific directions of the Melitopol school of applied geometry. A brief description of point calculus as a mathematical device that operates within an arithmetic, coordinate affine space, equipped with a topological structure. The basic definitions of point calculus are presented, including point parameters and point equations, space simplex and global coordinate system, independent and current points.