Math 2.0

Geometry Concept

Spherical coordinates

Builds on Euclidean spacePolar coordinates

Summary

Spherical coordinates describe a point of space by three numbers. They are its distance from the origin, the angle between its position vector and the positive zz-axis, and an azimuth angle around the zz-axis. They simplify problems with symmetry about a point, such as integrals over balls.

Remarks

The names and the order of the two angles differ between mathematics and physics texts. Each text must state its convention.

Reading path

To understand this page from the ground up, read these 3 pages in order. The foundations come first.

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Euclidean space, object, no evidence levelEuclidean spaceobjectPolar coordinates, concept, no evidence levelPolar coordinatesconceptSpherical coordinates, concept, no evidence levelSpherical coordinatesconcept
Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
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  1. Euclidean space object
  2. Polar coordinates concept
  3. Spherical coordinates concept

Where this leads

1 page builds on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Spherical_coordinate_system, Definition
  2. Web https://en.wikipedia.org/wiki/Spherical_coordinate_system, Conventions
About this page
Tag01QFQAQ2PA
URIm2://01QFQAQ2PA
Aliasesspherical-coordinate-system, spherical-polar-coordinates
Kindconcept
WritingW1 stated
MSC51N20
UsesEuclidean space, Polar coordinates
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