coordinate systems (original) (raw)

Plane

1. 1. Cartesian coordinates
2. 1. Polar coordinates

ℝ3

1. 1. Cartesian coordinates (http://planetmath.org/CartesianCoordinates)
2. 1. Spherical coordinates
3. 1. Cylindrical coordinates

Sphere S2

1. 1. Stereographic projection
2. 1. Mercator projection
3. 1. ..

Miscellaneous

1. 1. Barycentric coordinates
2. 1. Homogeneous coordinates (x,y,t) in plane, (x,y,z,t) in ℝ3

Differential geometry

1. 1. Normal coordinates (http://planetmath.org/RiemannNormalCoordinates) in Riemann geometry
2. 1. Darboux coordinates (http://planetmath.org/DarbouxsTheoremSymplecticGeometry) in symplectic geometry
3. 1. Gaussian coordinates
4. 1. Fermi coordinates for a submanifold
5. 1. Boundary coordinates

Coordinate transformations

1. 1. affine transformations (http://planetmath.org/AffineTransformation)
2. 1. continuous transformations (http://planetmath.org/HomotopyOfPaths) in algebraic topology (homotopy theory)
3. 1. Lorentz group transformations
4. 1. Cartesian-to-polar coordinate transformations
5. 1. Cartesian-to-spherical coordinate transformations
6. 1. A.
7. 1. B.

Title	coordinate systems
Canonical name	CoordinateSystems
Date of creation	2013-03-22 15:12:53
Last modified on	2013-03-22 15:12:53
Owner	matte (1858)
Last modified by	matte (1858)
Numerical id	16
Author	matte (1858)
Entry type	Definition
Classification	msc 51-01
Related topic	StereographicProjection