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 sometimes jest that, in an effort to avoid naming everything after Euler, discoveries or theorems are 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 eix = cosx + isinx 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 product
- Euler programming language
- Euler pseudoprime
- Euler-Rodrigues parameters
- Euler's rule
- Euler spline
- Euler squares, usually called Graeco-Latin squares.
- Euler system, a collection of cohomology classes.
- 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
- Euclid-Euler Theorem
- 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.
