De Moivre's formula De Moivre's law De Moivre's martingale De Moivre–Laplace theorem Inclusion–exclusion principle Generating function
Scientific career
Fields
Mathematics
Abraham de Moivre FRS (French pronunciation:[abʁaamdəmwavʁ]; 26 May 1667 – 27 November 1754) was a French mathematician known for de Moivre's formula, a formula that links complex numbers and trigonometry, and for his work on the normal distribution and probability theory.
He moved to England at a young age due to the religious persecution of Huguenots in France which reached a climax in 1685 with the Edict of Fontainebleau.[1]
He was a friend of Isaac Newton, Edmond Halley, and James Stirling. Among his fellow Huguenot exiles in England, he was a colleague of the editor and translator Pierre des Maizeaux.
De Moivre wrote a book on probability theory, The Doctrine of Chances, said to have been prized by gamblers. De Moivre first discovered Binet's formula, the closed-form expression for Fibonacci numbers linking the nth power of the golden ratio φ to the nth Fibonacci number. He also was the first to postulate the central limit theorem, a cornerstone of probability theory.
^O'Connor, John J.; Robertson, Edmund F., "Abraham de Moivre", MacTutor History of Mathematics Archive, University of St Andrews
AbrahamdeMoivre FRS (French pronunciation: [abʁaam də mwavʁ]; 26 May 1667 – 27 November 1754) was a French mathematician known for deMoivre's formula...
{\displaystyle \int _{-\infty }^{\infty }e^{-x^{2}}\,dx={\sqrt {\pi }}.} AbrahamdeMoivre originally discovered this type of integral in 1733, while Gauss published...
length. The result had already been given in 1711 by AbrahamdeMoivre in De Mensura Sortis seu; de Probabilitate Eventuum in Ludis a Casu Fortuito Pendentibus...
ar-Rumi. In 18th century Europe, knight's tours were published by AbrahamdeMoivre and Leonhard Euler. A Hamiltonian path or traceable path is a path...
form is named in his honour, although the same result was known to AbrahamdeMoivre a century earlier. Binet graduated from l'École Polytechnique in 1806...
Barnard thinks he learned mathematics and probability from a book by AbrahamdeMoivre. Others speculate he was motivated to rebut David Hume's argument...
mathematician Jacques Philippe Marie Binet, though it was already known by AbrahamdeMoivre and Daniel Bernoulli: F n = φ n − ψ n φ − ψ = φ n − ψ n 5 , {\displaystyle...
impact on both contemporary and later mathematicians; for example, AbrahamdeMoivre. Bernoulli wrote the text between 1684 and 1689, including the work...
second we may call a precious jewel. Eighteenth-century mathematicians AbrahamdeMoivre, Nicolaus I Bernoulli, and Leonhard Euler used a golden ratio-based...
that the window be closed. He was, however, noted by Cambridge diarist Abrahamde la Pryme to have rebuked students who were frightening locals by claiming...
theory include AbrahamdeMoivre and Pierre-Simon Laplace. In 1654, prompted by his friend the Chevalier de Méré, he corresponded with Pierre de Fermat on...
known as the normal curve was studied by AbrahamdeMoivre who plotted this curve on November 12, 1733. deMoivre was studying the number of heads that occurred...
remains an indeterminate. Generating functions were first introduced by AbrahamdeMoivre in 1730, in order to solve the general linear recurrence problem....
1930) Paul-André Meyer (1934–2003) Richard von Mises (1883–1953) AbrahamdeMoivre (1667–1754) Octav Onicescu (1892–1983) K. R. Parthasarathy (born 1936)...
mortality was done by the French mathematician AbrahamdeMoivre (1667–1754) in the 1750s. However, deMoivre assumed that the mortality rate was constant...
of research in the eighteenth century, attracting the attention of AbrahamdeMoivre and Thomas Bayes. Bernoulli used the Latin word urna, which primarily...
mammalologist and ornithologist Henri Milne-Edwards (1800–1885), zoologist AbrahamdeMoivre (1667–1754), mathematician Jacques Monod (1910–1976), biologist, Nobel...
Takakazu. 1712 – Brook Taylor develops Taylor series. 1722 – AbrahamdeMoivre states deMoivre's formula connecting trigonometric functions and complex numbers...
contributing to probability theory, such as Pierre-Simon Laplace, AbrahamdeMoivre, Carl Gauss, Siméon Poisson and Pafnuty Chebyshev, most of the mathematical...
against this mistake. The 18th century saw the work of AbrahamdeMoivre and Leonhard Euler. DeMoivre's formula (1730) states: ( cos θ + i sin θ ) n =...
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