Euler function (disambiguation)

In mathematics, Euler function may refer to several unrelated or loosely related functions, all named after Leonhard Euler. Some of these functions are also involved in a formula, often (ambiguously) called Euler's formula.

Related Topics:
Mathematics - Leonhard Euler

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• The Euler function, a modular form that is a prototypical q-series.
• Euler's totient function (or Euler phi function) in number theory, counting the number of coprime integers less than an integer.
• Euler's theorem, a theorem about the totient function.
• Euler's formula $e^\{i\; heta\}=cos\; heta\; +isin\; heta$
• Euler's identity $e^\{ipi\}=-1$ .
• Euler's identity may also refer to the pentagonal number theorem.
• Euler characteristic in algebraic topology and topological graph theory, and the corresponding Euler's formula $chi(S^2)=F-E+V=2.$
• Euler's homogeneous function theorem, a theorem about homogeneous polynomials.
• Euler's equations, concerning the rotations of a rigid body.
• Euler equations, concerning compressible fluid flow.
• Euler-Bernoulli beam equation, concerning the elasticity of structural beams.