Leonhard Euler Further reading

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    Leonhard Euler (/ˈɔɪlər/ OY-lər, German: [ˈleːɔnhaʁt ˈʔɔʏlɐ] , Swiss Standard German: [ˈleːɔnhart ˈɔʏlər]; 15 April 1707 – 18 September 1783) was a Swiss...
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    sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant,...
  • 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...
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    /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...
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    such as by Christian Weise in 1712 (Nucleus Logicoe Wiesianoe) and Leonhard Euler (Letters to a German Princess) in 1768. The idea was popularised by...
  • consequence. The formula was discovered independently by Leonhard Euler and Colin Maclaurin around 1735. Euler needed it to compute slowly converging infinite...
  • fields of prolate and oblate spheroids. This problem is named after Leonhard Euler, who discussed it in memoirs published in 1760. Important extensions...
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    by the Swiss mathematician Leonhard Euler, titled De Progressionibus harmonicis observationes (Eneström Index 43). Euler used the notations C and O for...
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    is a "clothoid", another name for the Euler spiral. Unaware of the solution of the geometry by Leonhard Euler, Rankine cited the cubic curve (a polynomial...
  • Thumbnail for Euler equations (fluid dynamics)
    the Euler equations are a set of quasilinear partial differential equations governing adiabatic and inviscid flow. They are named after Leonhard Euler. In...
  • solids in 1537 in an unpublished manuscript by Francesco Maurolico. Leonhard Euler, for whom the concept is named, introduced it for convex polyhedra more...
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    the Euler diagram shows only relevant relationships. The first use of "Eulerian circles" is commonly attributed to Swiss mathematician Leonhard Euler (1707–1783)...
  • 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...
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    conceptual lattice diagram representing tonal space first described by Leonhard Euler in 1739. Various visual representations of the Tonnetz can be used to...
  • earlier work of Leonhard Euler. The Euler–Lotka equation, derived and discussed below, is often attributed to either of its origins: Euler, who derived a...
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    Willis, Lucas; Osler, Thomas J. The Euler Archive. Retrieved 2007-03-22. Originally published as Euler, Leonhard (1768). "Remarques sur un beau rapport...
  • π" (PDF). How Euler Did It. Reprinted in How Euler Did Even More. Mathematical Association of America. 2014. pp. 109–118. Euler, Leonhard (1755). "§2.2...
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    introduced by Jacob Bernoulli in 1683. More than half a century later, Euler, who had been a student of Jacob's younger brother Johann, proved that e...
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    Spouge's approximation Stirling's approximation Davis, P. J. (1959). "Leonhard Euler's Integral: A Historical Profile of the Gamma Function". American Mathematical...
  • in simplifying many fluid dynamics problems. In a 1757 publication, Leonhard Euler described a set of equations governing inviscid flow: ρ D v D t = −...
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