Category

Leonhard Euler

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Swiss mathematician, physicist, and engineer (1707–1783)

mathematical constant; limit of (1 + 1/n)^n as n approaches infinity; transcendental number approximately equal 2.718281828

Euler's formula

mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function

Euler's identity

e ^ (πi) + 1 = 0

Euler–Mascheroni constant

mathematical constant; limiting difference between the harmonic series and the natural logarithm; equal to ca 0.577

Euler's totient function

function which gives the number of integers relatively prime to and not greater than its input

Euler characteristic

topological invariant in mathematics

Euler's theorem

generalization of Fermat's little theorem, that given coprime positive integers 𝑛 and 𝑎, then the φ(𝑛)-th power of 𝑎 is congruent to 1 modulo 𝑛, where φ is Euler’s totient function

Euler–Lagrange equation

second-order partial differential equation whose solutions are the functions for which a given functional is stationary

an explicit, first-order method for numerically solving ordinary differential equations

trail in a graph which visits every edge exactly once

homogeneous function

function with multiplicative scaling behaviour

Euler equations

set of quasilinear hyperbolic equations governing adiabatic and inviscid flow

Euler–Maclaurin formula

Euler–Bernoulli beam theory

Method for load calculation in construction

integer sequence defined by the Taylor series expansion of the hyperbolic secant function and also appearing in that of the secant function

Euler's sum of powers conjecture

disproved mathematical conjecture

dimensionless caracteristic number used in fluid mechanics, defined as the ratio of pressure forces and inertial forces used to characterize losses in a moving fluid

Euler's four-square identity

product of sums of four squares is a sum of four squares

list of things named after Leonhard Euler

Wikimedia list article

Euclid–Euler theorem

theorem characterizing the even perfect numbers

Euler's rotation theorem

Introductio in analysin infinitorum

two-volume publication by Leonhard Euler

the mathematical function ∏ₖ₌₁^∞ (1−𝑞ᵏ)

Euler–Tricomi equation

Mathematical concept in prime numbers

lucky numbers of Euler

class of natural numbers

Euler's theorem

theorem in the mathematical field of differential geometry

Euler's continued fraction formula

connects a very general infinite series with an infinite continued fraction.

Euler's pump and turbine equation

turbomachinery Equation in Fluid Dynamics

Euler–Maruyama method

method for the approximate numerical solution of stochastic differential equations

Institutiones calculi differentialis

publication by Leonhard Euler

Leonard Euler Gold Medal

mathematics award

Euler–Rodrigues formula

Math formula for 3D vector rotation

Euler's critical load

compressive load at which a slender column will suddenly bend or buckle