List of things named after Leonhard Euler

From Wikipedia, the free encyclopedia
  (Redirected from Eulerian)
Jump to navigation Jump to search
Leonhard Euler (1707–1783)

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. 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]

Euler's conjectures[edit]

Euler's equations[edit]

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:

Euler's ordinary differential equations[edit]

Euler's partial differential equations[edit]

Euler's formulas[edit]

Euler's functions[edit]

Euler's identities[edit]

Euler's numbers[edit]

Euler's theorems[edit]

Euler's laws[edit]

Other things named after Euler[edit]

Topics by field of study[edit]

Selected topics from above, grouped by subject.

Analysis: derivatives, integrals, and logarithms[edit]

Geometry and spatial arrangement[edit]

Graph theory[edit]

Music[edit]

Number theory[edit]

Physical systems[edit]

Polynomials[edit]

See also[edit]

Notes[edit]

  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. ^ "The Euler equation in thermodynamics" (blog). March 2013.
  5. ^ Schoenberg (1973). "bibliography" (PDF). University of Wisconsin.