Point calculus. Historical background and basic definitions
Ivan Balyuba, E. V. Konopatskiy
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.
Topics & Concepts
Calculus (dental)Point (geometry)Affine transformationSimplexVector calculusComputer scienceSpace (punctuation)Coordinate systemAlgebra over a fieldMathematicsPure mathematicsGeometryMathematical analysisArtificial intelligenceOperating systemDentistryMedicineAdvanced Theoretical and Applied Studies in Material Sciences and GeometryHistory and Theory of Mathematics