Difference between revisions of "Geometry"

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'''Geometry''' is the branch of mathematics dealing with [[shape]]s and spatial relationships. It is one of the two most basic branches of [[mathematics]], the other being [[algebra]], the study of relationships between [[number]]s.
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Geometry is the branch of mathematics that deals with properties of shapes. Primarily, the subject may be divided into three branches:
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There are a few main types of spatial forms:
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'''Differential Geometry''' studies properties of smooth shapes called "differentiable manifolds" by analyzing their curvature properties.
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Points, an infinitely small dot.
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'''Algebraic Geometry''' studies properties of shapes defined by algebraic equations, by making use of the additional structures these objects inherit from their algebraic nature.
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Lines, an infinitely long set of points expanding in two opposite directions.
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Planes, an infinitely wide set of lines, stretching out in four directions.
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'''Topology''', broadly speaking, studies properties of shapes invariant under continuous deformations.  
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Space, all of the 3-dimensional space that points, lines, and planes exist ons.
 
 
[[category:geometry]]
 
[[category:geometry]]

Revision as of 22:04, June 27, 2008

Geometry is the branch of mathematics that deals with properties of shapes. Primarily, the subject may be divided into three branches:

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 deformations.

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