First Part: The Simplest Geometric Formations. I. Line-Segment, Area, Volume as Relative Quantities -- II. The Grassmannian Determinant Principle for the Plane -- III. The Grassmannian Principle for Space -- IV. Classification of the Elementary Configurations of Space According to their Behaviour under Transformation of Rectangular Coordinates -- V. Higher Configurations -- Part Two: Geometric …
First Part: Arithmetic. I. Calculating with Natural Numbers -- II. The First Extensions of the Notion of a Number -- III. Concerning Special Properties of Integers -- IV. Complex Numbers -- V. Concerning the Modern Development and the General Structure of Mathematics -- Second Part: Algebra. I. Real Equations with Real Unknowns -- II. Equations in the Field of Complex Quantities -- Third Part: …
First Part: On Functions of a Real Variable and their Representation in an Orthogonal Coordinate System. I. Remarks on the Single Independent Variable x -- II. Functions f (x) of a Real Variable x -- III. The Approximated Representation of Functions -- IV. Further Discussion About the Trigonometric Representation of Functions -- V. Functions of Two Variables. Second Part: Free Geometry of Plane…