The Euler number (Eu) is a dimensionless number used in fluid flow calculations. It expresses the relationship between a local pressure drop caused by...

In mathematics and physics, many topics are named in honor of Swiss mathematician Leonhard Euler (1707–1783), who made many important discoveries and...

faces minus the number of edges of a polyhedron equals 2, a number now commonly known as the Euler characteristic. In physics, Euler reformulated Isaac...

Euler's identity (also known as Euler's equation) is the equality e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} where e {\displaystyle e} is Euler's number...

mobile frame of reference in physics or the orientation of a general basis in three dimensional linear algebra. Classic Euler angles usually take the inclination...

The 18th-century Swiss mathematician Leonhard Euler (1707–1783) is among the most prolific and successful mathematicians in the history of the field....

is a complex number, and is also called Euler's formula in this more general case. Euler's formula is ubiquitous in mathematics, physics, chemistry, and...

sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant,...

In the calculus of variations and classical mechanics, the Euler–Lagrange equations are a system of second-order ordinary differential equations whose...

In mathematics, the Euler–Maclaurin formula is a formula for the difference between an integral and a closely related sum. It can be used to approximate...

dynamics, the Euler equations are a set of partial differential equations governing adiabatic and inviscid flow. They are named after Leonhard Euler. In particular...

Opera Omnia Leonhard Euler (Leonhardi Euleri Opera omnia) is the compilation of Leonhard Euler's scientific writings. The project of this compilation...

topological Euler characteristic, it is not restricted to integer values and is in general a rational number. It is of interest in mathematical physics, specifically...

historically notable problem in mathematics. Its negative resolution by Leonhard Euler, in 1736, laid the foundations of graph theory and prefigured the idea of...

modern number theory, after Fermat's relative lack of success in getting his contemporaries' attention for the subject. Euler's work on number theory...

In mathematics and computational science, the Euler method (also called the forward Euler method) is a first-order numerical procedure for solving ordinary...

on differentiable manifolds. The Euler operator, which associates to each variational problem the corresponding Euler–Lagrange equation, is the analog...

American Blogs. This Week's Finds in Mathematical Physics (Week 124), (Week 126), (Week 147), (Week 213) Euler's Proof That 1 + 2 + 3 + ⋯ = −1/12 – by John Baez...

Euler–Bernoulli beam theory (also known as engineer's beam theory or classical beam theory) is a simplification of the linear theory of elasticity which...

kinetic energy T of the system. Leonhard Euler corresponded with Maupertuis from 1740 to 1744;: 582  in 1744 Euler proposed a refined formulation of the...

that every even number is the sum of two primes, in a 1742 letter to Euler. Euler proved Alhazen's conjecture (now the Euclid–Euler theorem) that all...

In physics, angular velocity (symbol ω or ω → {\displaystyle {\vec {\omega }}} , the lowercase Greek letter omega), also known as the angular frequency...

Leonhard Euler Gold Medal (Золотая медаль имени Леонарда Эйлера) is a medal named after the Swiss, German, and Russian mathematician Leonhard Euler, awarded...

known as the Euler equation. This simplified equation is applicable to inviscid flow as well as flow with low viscosity and a Reynolds number much greater...

pivotal role in analytic number theory and has applications in physics, probability theory, and applied statistics. Leonhard Euler first introduced and studied...

and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve. The number π is...

number theory, and both classical and celestial mechanics. In 1766, on the recommendation of Leonhard Euler and d'Alembert, Lagrange succeeded Euler as...

In physics, action is a scalar quantity that describes how the balance of kinetic versus potential energy of a physical system changes with trajectory...

In physics, Lagrangian mechanics is a formulation of classical mechanics founded on the d'Alembert principle of virtual work. It was introduced by the...

International System of Units ISO 31 Elert, Glenn. "Special Symbols". The Physics Hypertextbook. Retrieved 4 August 2021. NIST (16 August 2023). "SI Units"...