# Scalar field

From Encyclopedia of Mathematics

A scalar-valued function of the points of a domain in some space, such as the temperature or the density field inside a body.

#### Comments

The scalar fields are the scalars in the algebra of tensor fields, cf. Scalar.

**How to Cite This Entry:**

Scalar field.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Scalar_field&oldid=12207