• Thumbnail for Leonhard Euler
    Leonhard Euler (/ˈɔɪlər/ OY-lər; German: [ˈleːɔnhaʁt ˈʔɔʏlɐ] , Swiss Standard German: [ˈleɔnhard ˈɔʏlər]; 15 April 1707 – 18 September 1783) was a Swiss...
    107 KB (10,834 words) - 01:00, 31 January 2025
  • Thumbnail for List of topics named after Leonhard Euler
    Swiss mathematician Leonhard Euler (1707–1783), who made many important discoveries and innovations. Many of these items named after Euler include their own...
    15 KB (1,697 words) - 22:12, 31 January 2025
  • The 18th-century Swiss mathematician Leonhard Euler (1707–1783) is among the most prolific and successful mathematicians in the history of the field. His...
    17 KB (2,212 words) - 04:27, 28 January 2025
  • Thumbnail for Euler's formula
    Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric...
    26 KB (3,851 words) - 11:24, 12 January 2025
  • solids in 1537 in an unpublished manuscript by Francesco Maurolico. Leonhard Euler, for whom the concept is named, introduced it for convex polyhedra more...
    29 KB (3,449 words) - 06:08, 16 December 2024
  • Thumbnail for Euler's Disk
    several scientific papers. Bendik named the toy after mathematician Leonhard Euler. Joseph Bendik first noted the interesting motion of the spinning disk...
    21 KB (3,003 words) - 18:50, 15 January 2025
  • Thumbnail for Opera Omnia Leonhard Euler
    Opera Omnia Leonhard Euler (Leonhardi Euleri Opera omnia) is the compilation of Leonhard Euler's scientific writings. The project of this compilation was...
    9 KB (844 words) - 12:16, 3 October 2024
  • Thumbnail for E (mathematical constant)
    sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant,...
    54 KB (6,473 words) - 00:13, 21 January 2025
  • Thumbnail for Euler method
    The Euler method is named after Leonhard Euler, who first proposed it in his book Institutionum calculi integralis (published 1768–1770). The Euler method...
    27 KB (4,955 words) - 05:59, 31 January 2025
  • denotes Euler's totient function; that is a φ ( n ) ≡ 1 ( mod n ) . {\displaystyle a^{\varphi (n)}\equiv 1{\pmod {n}}.} In 1736, Leonhard Euler published...
    9 KB (1,149 words) - 18:09, 9 June 2024
  • mathematician Leonhard Euler and Italian mathematician Joseph-Louis Lagrange. Because a differentiable functional is stationary at its local extrema, the Euler–Lagrange...
    24 KB (4,840 words) - 14:10, 12 November 2024
  • Thumbnail for Euler angles
    The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body with respect to a fixed coordinate system. They...
    48 KB (5,215 words) - 17:15, 27 December 2024
  • Thumbnail for Euler's identity
    circle to its diameter. Euler's identity is named after the Swiss mathematician Leonhard Euler. It is a special case of Euler's formula e i x = cos ⁡ x...
    15 KB (1,947 words) - 04:37, 28 January 2025
  • Thumbnail for Euler–Bernoulli beam theory
    significant discoveries. Leonhard Euler and Daniel Bernoulli were the first to put together a useful theory circa 1750. The Euler–Bernoulli equation describes...
    47 KB (7,384 words) - 03:22, 23 January 2025
  • Thumbnail for Euler's constant
    constant first appeared in a 1734 paper by the Swiss mathematician Leonhard Euler, titled De Progressionibus harmonicis observationes (Eneström Index...
    71 KB (9,550 words) - 01:29, 13 January 2025
  • Thumbnail for Euler's totient function
    /n\mathbb {Z} } ). It is also used for defining the RSA encryption system. Leonhard Euler introduced the function in 1763. However, he did not at that time choose...
    44 KB (6,507 words) - 10:27, 12 January 2025
  • Leonhard Euler proved the Euler product formula for the Riemann zeta function in his thesis Variae observationes circa series infinitas (Various Observations...
    7 KB (1,543 words) - 06:58, 20 November 2023
  • sum of all positive integers raised to a certain power as proven by Leonhard Euler. This series and its continuation to the entire complex plane would...
    12 KB (2,219 words) - 08:40, 22 May 2024
  • Thumbnail for Euler line
    In geometry, the Euler line, named after Leonhard Euler (/ˈɔɪlər/ OY-lər), is a line determined from any triangle that is not equilateral. It is a central...
    18 KB (2,590 words) - 19:02, 22 January 2025
  • an Euler brick, named after Leonhard Euler, is a rectangular cuboid whose edges and face diagonals all have integer lengths. A primitive Euler brick...
    17 KB (2,119 words) - 21:33, 15 December 2024
  • Thumbnail for Johann Euler
    Euler, he was the first child born to the great Swiss mathematician Leonhard Euler (1707–1783), who had emigrated [for the first time] to Saint-Petersburg...
    4 KB (293 words) - 03:54, 7 November 2024
  • determined. As the name suggests these equations were formulated by Leonhard Euler in the eighteenth century. These equations can be derived from the moment...
    5 KB (780 words) - 12:06, 6 April 2024
  • an extension of the Euler method for ordinary differential equations to stochastic differential equations named after Leonhard Euler and Gisiro Maruyama...
    6 KB (827 words) - 17:13, 5 August 2024
  • Thumbnail for Seven Bridges of Königsberg
    historically notable problem in mathematics. Its negative resolution by Leonhard Euler, in 1736, laid the foundations of graph theory and prefigured the idea...
    15 KB (1,790 words) - 15:55, 14 January 2025
  • Thumbnail for Euler equations (fluid dynamics)
    dynamics, the Euler equations are a set of partial differential equations governing adiabatic and inviscid flow. They are named after Leonhard Euler. In particular...
    79 KB (13,150 words) - 01:11, 2 January 2025
  • ( n − 1 ) ! {\displaystyle \Gamma (n)=(n-1)!} Leonhard Euler List of topics named after Leonhard Euler Jeffrey, Alan; Dai, Hui-Hui (2008). Handbook of...
    2 KB (334 words) - 11:28, 17 December 2024
  • Leonhard Euler (1707–1783) was a Swiss mathematician and physicist. Euler may also refer to: Euler (programming language), a computer programming language...
    1 KB (146 words) - 23:08, 22 November 2024
  • Thumbnail for Euler function
    \phi (q)=\prod _{k=1}^{\infty }(1-q^{k}),\quad |q|<1.} Named after Leonhard Euler, it is a model example of a q-series and provides the prototypical example...
    4 KB (789 words) - 19:03, 18 October 2023
  • Thumbnail for Euler diagram
    the Euler diagram shows only relevant relationships. The first use of "Eulerian circles" is commonly attributed to Swiss mathematician Leonhard Euler (1707–1783)...
    37 KB (3,608 words) - 17:02, 29 December 2024
  • consequence. The formula was discovered independently by Leonhard Euler and Colin Maclaurin around 1735. Euler needed it to compute slowly converging infinite...
    19 KB (3,779 words) - 19:21, 31 January 2025