Эйлер математигінің мұрасы

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In mathematics and physics, many topics are named in honor of Swiss mathematician Leonhard Euler (1707–1783), who made many important discoveries and innovations. Many of these items named after Euler include their own unique function, equation, formula, identity, number (single or sequence), or other mathematical entity. Many of these entities have been given simple and ambiguous names such as Euler's function, Euler's equation, and Euler's formula. Euler's work touched upon so many fields that he is often the earliest written reference on a given matter. In an effort to avoid naming everything after Euler, some discoveries and theorems are attributed to the first person to have proved them after Euler.

Euler conservation equations, a set of quasilinear first order hyperbolic equations used in fluid dynamics for inviscid flows. In the (Froude) limit of no external field, they are conservation equations. Euler–Tricomi equation – a second order PDE emerging from Euler conservation equations. Euler–Poisson–Darboux equation, a second order PDE playing important role in solving the wave equation. Euler–Lagrange equation, a second order PDE emerging from minimization problems in calculus of variations.

Euler's identity 1=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 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.