I have been being confused by mathematics’ formula which are not so familiar with me before. Reading a mathematics’ book is not like reading such kind of comics of Naruto or novel of Sidney Sheldon. I decided to sort it and copied paste into my blog therefore i can always remember although it is not often used regularly. Might be it would be useful for someone outside there, who are studying and dealing with Engineerings’ area.
Gottfried Wilhelm Leibniz http://en.wikipedia.org/wiki/Gottfried_Wilhelm_Leibniz
Best of all possible worlds
Leibniz formula for π
Leibniz harmonic triangle
Leibniz formula for determinants
Leibniz integral rule
Principle of sufficient reason
Notation for differentiation
Proof of Fermat’s little theorem
Jacob Bernoulli http://en.wikipedia.org/wiki/Jacob_Bernoulli
Bernoulli differential equation
Hidden Bernoulli model
Bernoulli random variable
Bernoulli’s Golden Theorem)
Lemniscate of Bernoulli
Johann Bernoulli http://en.wikipedia.org/wiki/Johann_Bernoulli
Development of infinitesimal calculus
Leonhard Euler http://en.wikipedia.org/wiki/Leonhard_Euler
Euler angles defining a rotation in space.
Euler approximation – (see Euler method)
Euler characteristic in algebraic topology and topological graph theory, and the corresponding Euler’s formula
Eulerian circuit – (see Eulerian path)
Euler’s constant – (see Euler–Mascheroni constant) (not to be confused with Euler’s number)
Euler cycle – (see Eulerian path)
Euler’s criterion – quadratic residues modulo primes
Euler derivative (as opposed to Lagrangian derivative)
Euler diagram – likely more widely (though incorrectly) known as Venn diagram (which has more restrictions)
Euler’s disk – a circular disk that spins, without slipping, on a surface
Eulerian graph – (see Eulerian path)
The Euler integrals of the first and second kind, namely the beta function and gamma function.
Euler’s line – relation between triangle centers
Euler–Mascheroni constant or Euler’s constant γ ≈ 0.577216
Euler’s number, e, the base of the natural logarithm.
Euler operator – set of functions to create polygon meshes
Euler parameters – (see Euler–Rodrigues parameters)
Eulerian path, a path through a graph that takes each edge once.
Euler–Rodrigues parameters – concerns Lie groups and quaternions
Euler’s rule – finding amicable numbers
Euler spline – composed of classical Euler polynomial arcs (cred. to Schoenberg, 1973 – PDF)
Euler squares, usually called Graeco-Latin squares.
Euler system, a collection of cohomology classes.
Euler’s three-body problem
Euler’s conjecture (Waring’s problem)
Euler’s sum of powers conjecture
(Also see Euler’s conjecture.)
Euler’s equation – usually refers to Euler’s equations (rigid body dynamics), Euler’s formula, Euler’s homogeneous function theorem, or Euler’s identity
Euler equations (fluid dynamics) in fluid dynamics.
Euler’s equations (rigid body dynamics), concerning the rotations of a rigid body.
Euler–Bernoulli beam equation, concerning the elasticity of structural beams.
Euler–Cauchy equation (or Euler equation), a second-order linear differential equation
Euler–Lagrange equation (in regard to minimization problems in calculus of variations)
Euler–Lotka equation (mathematical demography)
Euler’s pump and turbine equation
Euler–Tricomi equation – concerns transonic flow
Euler transform used to accelerate the convergence of an alternating series and is also frequently applied to the hypergeometric series
Euler’s formula e ix = cos x + i sin x in complex analysis.
Euler’s formula for planar graphs or polyhedra: v − e + f = 2
Euler’s formula for the critical load of a column:
Euler’s continued fraction formula
Euler product formula – for the Riemann zeta function.
Euler–Maclaurin formula (Euler’s summation formula) – relation between integrals and sums
Euler–Rodrigues formulas – concerns Euler–Rodrigues parameters and 3D rotation matrices
The Euler function, a modular form that is a prototypical q-series.
Euler’s homogeneous function theorem
Euler’s totient function (or Euler phi (φ) function) in number theory, counting the number of coprime integers less than an integer.
Euler hypergeometric integral
Euler’s identity e iπ + 1 = 0.
Euler’s four-square identity, which shows that the product of two sums of four squares can itself be expressed as the sum of four squares.
Euler’s identity may also refer to the pentagonal number theorem.
Euler’s number, e ≈ 2.71828, the base of the natural logarithm, also known as Napier’s constant.
Euler’s idoneal numbers
Euler numbers are an integer sequence.
Eulerian numbers are another integer sequence.
Euler number (physics), the cavitation number in fluid dynamics.
Euler number (topology) – now, Euler characteristic
Lucky numbers of Euler
Eulerian integers are the numbers of form a+bω where ω is a complex cube root of 1.
Euler’s homogeneous function theorem, a theorem about homogeneous polynomials.
Euler’s infinite tetration theorem
Euler’s rotation theorem
Euler’s theorem (differential geometry) on the existence of the principal curvatures of a surface and orthogonality of the associated principal directions.
Euler’s theorem in geometry, relating the circumcircle and incircle of a triangle.
Euler–Fermat theorem, that aφ(m) ≡ 1 (mod m) whenever a is coprime to m, and φ is the totient function.
Euler’s theorem equating the number of partitions with odd parts and the number of partitions with distinct parts. See Glaisher’s theorem.
Euler’s adding-up theorem in economics
Euler’s first law, the linear momentum of a body is equal to the product of the mass of the body and the velocity of its center of mass.
Euler’s second law, the sum of the external moments about a point is equal to the rate of change of angular momentum about that point.
Other things named after Euler
2002 Euler (a minor planet)
AMS Euler typeface
Euler acceleration or force
Euler Book Prize
Euler Medal, a prize for research in combinatorics
Euler programming language
Joseph Louis Lagrange http://en.wikipedia.org/wiki/Joseph_Louis_Lagrange
Joseph Fourier http://en.wikipedia.org/wiki/Joseph_Fourier
Fourier’s law of conduction
Johann Peter Gustav Lejeune Dirichlet http://en.wikipedia.org/wiki/Dirichlet
See full list
Claude Louis Navier http://en.wikipedia.org/wiki/Claude-Louis_Navier
Muelheim ad Ruhr, 10.07.2013