Adrien-Marie Legendre - MacTutor History of Mathematics Archive
网页Adrien-Marie Legendre's major work on elliptic integrals provided basic analytical tools for mathematical physics. He gave a simple proof that π is irrational as well as the first proof that π2 is irrational.
Adrien-Marie Legendre | French Mathematician & Astronomer
网页2024年9月14日 · Adrien-Marie Legendre (born September 18, 1752, Paris, France—died January 10, 1833, Paris) was a French mathematician whose distinguished work on elliptic integrals provided basic analytic tools for mathematical physics.
Legendre Polynomial -- from Wolfram MathWorld
网页The Legendre polynomials, sometimes called Legendre functions of the first kind, Legendre coefficients, or zonal harmonics (Whittaker and Watson 1990, p. 302), are solutions to the Legendre differential equation.
Legendre, Adrien-Marie | Larson Calculus – Calculus 10e
网页Adrien-Marie Legendre. (1752 – 1833) The life of Adrien-Marie Legendre was quiet and conventional, and devoted almost exclusively to mathematics. He delayed marriage until he was over forty years of age, and even then, his nineteen-year-old bride’s chief attribute appears to have been her ability to create a tranquil atmosphere in which he ...
Adrien-Marie Legendre – Timeline of Mathematics - Mathigon
网页Adrien-Marie Legendre (1752 – 1833) was an important French mathematician. He studied elliptic integrals and their usage in physics. He also found a simple proof that π is irrational, and the first proof that π 2 is irrational.
4.5: Legendre Polynomials - Mathematics LibreTexts
网页2024年5月24日 · Legendre Polynomials are one of a set of classical orthogonal polynomials. These polynomials satisfy a second-order linear differential equation. This differential equation occurs naturally in the solution of initial boundary value problems in three dimensions which possess some spherical symmetry.
Legendre, Adrien-Marie - SpringerLink
网页2016年12月24日 · Adrien-Marie Legendre was primarily a mathematician, publishing an important three-volume work on number theory and an equally important three-volume work on elliptic functions, and was the first to publish the method of least squares.
Legendre, Adrien-Marie (1752-1833) -- from Eric Weisstein's
网页French mathematician who was a disciple of Euler and Lagrange. He published a classic work on geometry, Élements de géométrie. He also made significant contributions in differential equations, calculus, function theory, number theory Essai sur la théorie des nombres (1797-98), and applied math.
Legendre, Adrien-Marie - Encyclopedia of Mathematics
网页2023年11月23日 · Adrien-Marie LEGENDRE. b. 18 September 1752 -- d. 9 January 1833 Summary. In 1805, Legendre published the first description of the method of least squares as an algebraic fitting procedure. It was subsequently justified on statistical grounds by Gauss and Laplace. Adrien-Marie Legendre was born in Paris (France).
7.2: Legendre Polynomials - Mathematics LibreTexts
网页2024年5月24日 · These polynomial solutions are the Legendre polynomials, which we designate as \(y(x)=P_{n}(x)\). Furthermore, for \(n\) an even integer, \(P_{n}(x)\) is an even function and for \(n\) an odd integer, \(P_{n}(x)\) is an odd function.
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