Geometry
From Conservapedia
This is an old revision of this page, as edited by Mathoreilly (Talk | contribs) at 19:23, June 30, 2008. It may differ significantly from current revision.
Geometry is the branch of mathematics that deals with properties of shapes and spatial relationships. It is one of the five most basic branches of pure mathematics, the others being algebra, number theory, analysis, and logic. Primarily, the subject may be divided into six branches:
- Euclidean geometry studies geometry where the parallel postulate is valid.
- Non-Euclidean geometry studies geometry where the parallel postulate is false.
- Differential geometry studies properties of smooth shapes called differentiable manifolds by analyzing their curvature properties.
- Algebraic geometry studies properties of shapes defined by algebraic equations, by making use of the additional structures these objects inherit from their algebraic nature.
- Topology, broadly speaking, studies properties of shapes invariant under continuous functions.
- Geometric measure theory studies objects that possess a notion of fractional dimension, such as fractals.
