Scalar Field

A Map $f: \Bbb{R}^n \mapsto \Bbb{R}$ which assigns each ${\bf x}$ a Scalar Function $f({\bf x})$.

See also Vector Field

References

Morse, P. M. and Feshbach, H. ``Scalar Fields.'' §1.1 in Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 4-8, 1953.