# Categories

- A
- Algebraic Curves and Surfaces
- B
- Combinatorical Geometry
- C
- Topology
- D
- Kinematics and Mechanics
- E
- Differential Geometry
- F
- Algebra
- G
- Analysis, Probability Theory
- H
- Theory of Functions of Complex Variables
- J
- Differential Equations, Wave Theory
- K
- Geometrical Optics
- L
- Instruments and Devices.
- M
- History of Mathematis and Astronomy
- Z
- Other

## Search

## Algebraic Curves and Surfaces

Algebraic curves and surfaces are determined by polynomial equations. The order respectively the degree of a curve or surface is given by the maximal sum of exponents. The order has an geometric interpretation in \(\mathbb{R}^3\): The intersection of a surface of order \(n\) and a line has a maximal number of /(n/) points.

## Combinatorical Geometry

In the field of combinatorial geometry one studies properties of countable geometric objects.

## Topology

Topology is the study of mathematical objects and their properties which persist under deformation.

## Kinematics and Mechanics

Kinematics describes the movement of points, objects, and groups of objects. Mechanic deals with the behavior of objects under certain forces.

## Differential Geometry

In differential geometry one studies the properties of geometric objects, which don't rely on any parametrization.

## Algebra

## Analysis, Trigonometric und Taylor Series, Orthogonal Functions, Transcendental Configurations, Probability Theory

## Theory of Functions of Complex Variables

In complex theory of functions one studies differentiable mappings into the complex numbers.

## Differential Equations, Extension and Oscillation Processes, Wave Theory

Differential equations are equations which contain a function and it's derivatio(s). They describe standard phenomenons as movement. Expension and oscillation can be described and analysed by partial differential equations.