List of topics named after Leonhard Euler
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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 often the earliest written reference on a given matter. Physicists and mathematicians often jest that oftentimes a discovery or theorem is named after the "first person after Euler to discover it".
[edit] Topics including "Euler"
- AMS Euler typeface
- Euler angles defining a rotation in space.
- Euler approximation
- Euler-Bernoulli beam equation, concerning the elasticity of structural beams.
- Euler brick
- Euler-Cauchy equation, a second-order linear differential equation
- 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 diagram
- Euler's disk
- Euler-Lagrange equation (in regard to minimization problems)
- 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's formula eiθ = cosθ + isinθ in complex analysis.
- Euler's formula for planar graphs: v − e + f = 2
- The Euler function, a modular form that is a prototypical q-series.
- Eulerian graph
- 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 or Euler's constant γ ≈ 0.577216
- Euler Medal, a prize for research in combinatorics
- Euler's method
- Euler's number, e ≈ 2.71828, the base of the natural logarithm, 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 programming language
- Euler-Rodrigues parameters
- Euler's rule
- Euler squares, usually called Graeco-Latin squares.
- 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.
- Euler-Tricomi equation
- 2002 Euler (an asteroid)
[edit] Theorems
- Euler's rotation theorem
- Euler's homogeneous function theorem, a theorem about homogeneous polynomials.
- Euler-Fermat theorem, that aφ(m) = 1(mod m) whenever a is coprime to m, and φ is the totient function.
- Euler's summation formula, a theorem about integrals.
- Euler's theorem in geometry, relating the circumcircle and incircle of a triangle.
