# Harmonic (mathematics)

This article is about several concepts in mathematics that are called harmonic. For other uses of the word, see Harmonic (disambiguation).

In mathematics, a number of concepts employ the word **harmonic**. The similarity of this terminology to that of music is not accidental: the equations of motion of vibrating strings, drums and columns of air are given by formulas involving Laplacians; the solutions to which are given by eigenvalues corresponding to their modes of vibration. Thus, the term "harmonic" is applied when one is considering functions with sinusoidal variations, or solutions of Laplace's equation and related concepts.

## See also

- Harmonic analysis
- Harmonic conjugate
- Projective harmonic conjugate
- Cross-ratio
- Harmonic function
- Harmonic number
- Harmonic series
- Alternating harmonic series
- Harmonic form
- Harmonic mean
- Harmonic mode
- Harmonic tremor

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