Math 2.0

Real functions Concept

Vector field

Builds on Vector-valued functionEuclidean space

Summary

A vector field on a subset of ℝn\mathbb{R}^n assigns a vector of ℝn\mathbb{R}^n to each point of the subset. It models quantities with a direction and a size at each point, such as the velocity of a fluid or a force field.

Reading path

To understand this page from the ground up, read these 4 pages in order. The foundations come first.

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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. Function concept
  3. Vector-valued function concept
  4. Vector field concept

Where this leads

194 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Vector_field, Vector fields on subsets of Euclidean space
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