In mathematics and physics, there are a large number of topics 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. It has been said that, in an effort to avoid naming everything after Euler, some discoveries and theorems are attributed to the first person to have discovered them after Euler.
Usually, Euler's equation refers to one of (or a set of) differential equations (DEs). It is customary to classify them into ODEs and PDEs.
Otherwise, Euler's equation might refer to a non-differential equation, as in these three cases:
Selected topics from above, grouped by subject.