List of things named after Leonhard Euler

  (Redirected from Euler's equations)

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.

Leonhard Euler (1707–1783)

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.[1][2]

ConjecturesEdit

EquationsEdit

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:

Ordinary differential equationsEdit

Partial differential equationsEdit

FormulasEdit

FunctionsEdit

IdentitiesEdit

NumbersEdit

TheoremsEdit

LawsEdit

Other thingsEdit

Topics by field of studyEdit

Selected topics from above, grouped by subject.

Analysis: derivatives, integrals, and logarithmsEdit

Geometry and spatial arrangementEdit

Graph theoryEdit

MusicEdit

Number theoryEdit

Physical systemsEdit

PolynomialsEdit

See alsoEdit

NotesEdit

  1. ^ Richeson, David S. (2008). Euler's Gem: The polyhedron formula and the birth of topology (illustrated ed.). Princeton University Press. p. 86. ISBN 978-0-691-12677-7.
  2. ^ Edwards, C. H.; Penney, David E. (2004). Differential equations and boundary value problems. 清华大学出版社. p. 443. ISBN 978-7-302-09978-9.
  3. ^ de Rochegude, Félix (1910). Promenades dans toutes les rues de Paris [Walks along all of the streets in Paris] (VIIIe arrondissement ed.). Hachette. p. 98.
  4. ^ Schoenberg (1973). "bibliography" (PDF). University of Wisconsin. Archived from the original (PDF) on 2011-05-22. Retrieved 2007-10-28.