List of things named after Leonhard Euler

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Leonhard Euler (1707–1783)

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.[1][2]



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 may refer to a non-differential equation, as in these three cases:

Ordinary differential equations[edit]

Partial differential equations[edit]







Other things[edit]

Topics by field of study[edit]

Selected topics from above, grouped by subject, and additional topics from the fields of music and physical systems

Analysis: derivatives, integrals, and logarithms[edit]

Geometry and spatial arrangement[edit]

Graph theory[edit]


Number theory[edit]

Physical systems[edit]


See also[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, Charles Henry; Penney, David E.; Calvis, David (2008). Differential equations and boundary value problems. Pearson Prentice Hall. pp. 443 (微分方程及边值问题, 2004 edition). ISBN 978-0-13-156107-6.
  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. ^ Evans, Charles R.; Smarr, Larry L.; Wilson, James R. (1986). "Numerical Relativistic Gravitational Collapse with Spatial Time Slices". Astrophysical Radiation Hydrodynamics. Vol. 188. pp. 491–529. doi:10.1007/978-94-009-4754-2_15. ISBN 978-94-010-8612-7. Retrieved March 27, 2021.
  5. ^ Schoenberg (1973). "bibliography" (PDF). University of Wisconsin. Archived from the original (PDF) on 2011-05-22. Retrieved 2007-10-28.