List of topics named after Leonhard Euler
From Exampleproblems
(Redirected from Euler function (disambiguation))
In mathematics and physics, there are a large number of topics named in honour of Leonhard Euler. Many of these topics involve a function, formula or identity, often ambiguously called Euler's formula, Euler's function, or Euler's identity. Euler's work touched upon so many fields that he is the earliest written reference on any given matter. Physicists and mathematicians often jest that often times a discovery or theorem is named after the "first person after Euler to discover it".
Topics including "Euler"
- Euler angles defining a rotation in space.
- Euler approximation
- Euler-Bernoulli beam equation, concerning the elasticity of structural beams.
- Euler characteristic in algebraic topology and topological graph theory, and the corresponding Euler's formula χ(S2) = F − E + V = 2.
- Euler's conjecture
- Euler derivative (as opposed to Lagrangian derivative)
- Euler's disk
- Euler's Equation (in regard to minimization problems; also known as "Euler-Lagrange equation")
- Euler's equation usually refers to Euler's equations, Euler's formula, or Euler's identity
- Euler's equations, concerning the rotations of a rigid body.
- Euler equations in fluid dynamics.
- Euler-Fermat theorem, that aφ(m) = 1(mod m) whenever a is coprime to m, and φ is the totient function.
- Euler's formula eiθ = cosθ + isinθ in complex analysis.
- The Euler function, a modular form that is a prototypical q-series.
- Eulerian graph
- Euler's homogeneous function theorem, a theorem about homogeneous polynomials.
- Euler's identity eiπ + 1 = 0.
- Euler's identity may also refer to the pentagonal number theorem.
- Euler's idoneal numbers
- The Euler integrals of the first and second kind, namely the beta function and the gamma function.
- Euler's line
- Euler-Maclaurin formula
- Euler-Mascheroni constant
- Euler Medal, a prize for research in combinatorics
- Euler's method
- Euler's number, the mathematical constant e is also known as Napier's constant.
- Euler numbers are an integer sequence.
- Euler number, the cavitation number in fluid dynamics.
- Eulerian path or Euler cycle, a path through a graph that takes each edge once.
- Euler polynomials
- Euler prime
- Euler product
- Euler-Rodrigues parameters
- Euler's rotation theorem
- Euler squares, usually called Graeco-Latin squares.
- Euler's summation formula, a theorem about integrals.
- Euler's theorem in geometry, relating the circumcircle and incircle of a triangle.
- Euler's three-body problem
- Euler's totient function (or Euler phi (φ) function) in number theory, counting the number of coprime integers less than an integer.
- 2002 Euler (an asteroid)
