## Mathematical singularity

In mathematics , a **singularity** is in general a point at which a given **mathematical** object is not defined, or a point of an exceptional set where it fails to be well-behaved in some particular way, such as differentiability . See **Singularity** theory for general discussion of the geometric

**wikipedia.org**| 2011/3/1 7:24:30

## n-body problem

classical mechanics , i.e., Newton's laws of motion and Newton's law of gravity . Contents 1 **Mathematical** formulation of the n-body problem 1.1 General considerations: solving the n-body problem 2 Two-body problem 3 Three-body problem 4 King Oscar II Prize about the solution

**wikipedia.org**| 2010/9/26 11:02:08

## Singularity theory

In mathematics , **singularity** theory is the study of the failure of manifold structure. A loop of string can serve as an example of a one-dimensional manifold, if one neglects its width. What is meant by a **singularity** can be seen by dropping it on the floor. Probably there will appear a

**wikipedia.org**| 2011/8/8 1:17:23

## Mathematics of general relativity

The mathematics of general relativity refers to various **mathematical** structures and techniques that are used in studying and formulating Albert Einstein 's theory of general relativity . The main tools used in this geometrical theory of gravitation are tensor fields defined on a Lorentzian

**wikipedia.org**| 2011/8/22 16:37:09

## Alexander Dmitrievich Bruno

Institute of Applied Mathematics. Career: Junior, 1965; Senior, 1971; Leading Researcher, 1987; Head of **Mathematical** Department, 1995. [ edit ] Honours 3rd Prize at the Moscow **Mathematical** Olympiade, 1956; 1st Prize 1bid, 1957; 2nd Prize for Students Papers in Moscow St University,

**wikipedia.org**| 2011/7/27 21:17:44