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Topic: De Moivre


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In the News (Thu 10 Dec 09)

  
  De_Moivre biography
De Moivre's parents were Protestants but he first attended the Catholic school of the Christian Brothers in Vitry which was a tolerant school, particularly so given the religious tensions in France at this time.
De Moivre had hoped for a chair of mathematics, but foreigners were at a disadvantage in England so although he now was free from religious discrimination, he still suffered discrimination as a Frenchman in England.
Despite de Moivre's scientific eminence his main income was as a private tutor of mathematics and he died in poverty.
www-groups.dcs.st-and.ac.uk /~history/Biographies/De_Moivre.html   (1821 words)

  
 Abraham de Moivre Summary
Moivre, the son of provincial surgeon, was born in Vitry-le-François in France and raised as a Huguenot (French Protestant) in an ever growing atmosphere of Roman Catholic intolerance.
De Moivre was the son of a surgeon.
When de Moivre was elected to the Royal Society in 1712, it was at the proposal of Jean Bernoulli, with whom de Moivre had been in extensive correspondence since 1704.
www.bookrags.com /Abraham_de_Moivre   (2193 words)

  
 Biographies
Greatly influenced by his friend Newton, de Moivre was the first to deduce a version of the Central Limit Theorem, showing that a large number of Bernoulli trials could be approximated by a normal distribution.
De Moivre was born into a Protestant family in France.
Indeed, de Moivre was himself elected to the Royal Academy in 1697 and in 1710 was appointed to a commission to resolve the dispute as to whether Newton or Liebniz had invented the calculus.
tulsagrad.ou.edu /statistics/biographies/demoivre.htm   (441 words)

  
 Abraham de Moivre (via CobWeb/3.1 planetlab1.isi.jhu.edu)   (Site not responding. Last check: 2007-10-10)
Moivre was born at Vitry and died in London on November 27, 1754.
De Moivre is also famous for a book that he had published in 1718.
De Moivre thought that he should sleep 15 minutes longer each night and from this arithmetic progression he calculated that he would die on the day that he slept 24 hours.
www.edu.pe.ca.cob-web.org:8888 /kish/Grassroots/math/moivre.htm   (224 words)

  
 The Galileo Project
De Moivre published his first mathematical paper in the Philosophical Transactions in the early 90's--in all fifteen papers in the Philosophical Transactions.
De Moivre left France because of the revocation of the Edict of Nantes.
De Moivre was always looking for patronage, which he never seriously found, and with several others (I think especially of the French mathematician in the Netherlands--Girard, I think--and of Michelini) he illustrates the possible tragic face of the system of patronage.
galileo.rice.edu /Catalog/NewFiles/moivre.html   (550 words)

  
 Kohler Biographies
Abraham de Moivre was born at Vitry, France, where his father was a surgeon.
De Moivre studied mathematics and physics in Paris, but in 1685, after the Edict of Nantes was revoked, he was imprisoned for being a Protestant.
De Moivre took great pains to free the science of probability from its connection with gambling and also to establish a connection between probability and theology.
www.swlearning.com /quant/kohler/stat/biographical_sketches/bio8.2.html   (366 words)

  
 Moivre, Abraham de - HighBeam Encyclopedia   (Site not responding. Last check: 2007-10-10)
MOIVRE, ABRAHAM DE [Moivre, Abraham de], 1667-1754, French-English mathematician.
He was called upon by the Royal Society to help decide the issue between Newton and Leibniz on the priority of the invention of the differential calculus.
De Moivre made important contributions to trigonometry and to the theory of probabilities, on which he published Doctrine of Chances (1718).
www.encyclopedia.com /doc/1E1-moivre-a.html   (254 words)

  
 Death and statistics   (Site not responding. Last check: 2007-10-10)
De Witt was one of the great statesmen of his day, at a time when the Netherlands was developing as a major trading nation and posing a serious challenge to the naval power of England.
De Witt's mortality figures are far too tidy to have been derived by observation alone, although they may have been influenced by actual records of births and deaths.
Abraham de Moivre (1667-1754) was a French Huguenot who took refuge in England from religious persecution in 1685.
plus.maths.org /issue12/features/annuities   (2698 words)

  
 History of Normal Distribution
Abraham de Moivre, an 18th century statistician and consultant to gamblers was often called upon to make these lengthy computations.
de Moivre noted that when the number of events (coin flips) increased, the shape of the binomial distribution approached a very smooth curve.
de Moivre reasoned that if he could find a mathematical expression for this curve, he would be able to solve problems such as finding the probability of 60 or more heads out of 100 coin flips much more easily.
davidmlane.com /online_stat/chapter6/history_normal.html   (503 words)

  
 VI. The Eighteenth - Century Mathematics of France : The Development of Analysis
As we have seen, it was his material that the Marquis de l'Hospital (1661~1704), under a curious financial agreement with Johann, assembled in 1696 into the first calculus textbook.
Important among those contributing to probability theory was Abraham De Moivre (1667-1754), a French Hugenot who moved to the more congenial political climate of London after the revocation of the Edict of Nantes in 1685.
Known by De Moivre's name and found in every theory of equations textbook, was familiar to De Moivre for the case where n is a positive integer.
library.thinkquest.org /22584/emh1600.htm   (1418 words)

  
 Metanexus Institute   (Site not responding. Last check: 2007-10-10)
Some have said that De Moivre was imprisoned during the turmoil that followed the royal sanctioning of intolerance towards the Huguenots (as the French Protestants were called).
De Moivre became particularly interested in the mathematical theory of chance which had been initiated by Blaise Pascal and Pierre Fermat, and investigated further by Pierre Montmort: all his former countrymen.
Abraham de Moivre is remembered even more for a beautiful formula that connects trigonometric functions and the realm of complex numbers.
www.metanexus.net /metanexus_online/printer_friendly.asp?ID=6356   (1382 words)

  
 Encyclopedia :: encyclopedia : Abraham De Moivre   (Site not responding. Last check: 2007-10-10)
Abraham de Moivre (May 26, 1667–November 27, 1754) was a French mathematician famous for de Moivre's formula, which links complex numbers and trigonometry, and for his work on the normal distribution and probability theory.
De Moivre studied logic at Saumur (1682-84), attended the Collège de Harcourt in Paris (1684), and studied privately with Jacque Ozanam (1684-85).
De Moivre wrote a book on probability theory, titled The Doctrine of Chances.
www.hallencyclopedia.com /topic/Abraham_De_Moivre.html   (213 words)

  
 PlanetMath: de Moivre identity, proof of   (Site not responding. Last check: 2007-10-10)
To prove the de Moivre identity, we will first prove by induction on
"proof of de Moivre identity" is owned by mps.
This is version 7 of proof of de Moivre identity, born on 2004-09-02, modified 2005-07-06.
planetmath.org /encyclopedia/ProofOfDeMoivreIdentity.html   (110 words)

  
 Abraham de Moivre - Wikipedia, the free encyclopedia
He left France after the revocation of the Edict of Nantes (1685) and spent the remainder of his life in England.
He died in London and was buried at St Martin-in-the-Fields, although his body was later moved.
He is also known for de Movire's theorem which transfers a problem from complex numbers to trigonometry.
en.wikipedia.org /wiki/De_Moivre   (343 words)

  
 De Moivre's formula - Wikipedia, the free encyclopedia
De Moivre's formula, named after Abraham de Moivre, states that for any complex number (and, in particular, for any real number) x and any integer n,
Abraham de Moivre was a good friend of Newton; in 1698 he wrote that the formula had been known to Newton as early as 1676.
De Moivre's formula is actually true in a more general setting than stated above: if z and w are complex numbers, then (cos z + i sin z)
en.wikipedia.org /wiki/De_Moivre's_formula   (429 words)

  
 Abraham de Moivre (via CobWeb/3.1 planetlab1.isi.jhu.edu)   (Site not responding. Last check: 2007-10-10)
Abraham de Moivre, a French mathematician, developed de Moivre’s formula, a connection between complex numbers and trigonometry.
de Movire was a comtemporary of Newton who had been informed of the formula.
Although de Moivre was a successful mathematician, he was quite poor and never achieved great fame.
www.danielcromer.com.cob-web.org:8888 /resources/mathematicians/demoivre.htm   (67 words)

  
 test   (Site not responding. Last check: 2007-10-10)
De Moivre was born to a Huguenot (French Protestant) family in France in 1667, but lived in England from the age of 18 when his family fled to England after the revocation of the Edict of Nantes when all Huguenots were expelled from Catholic France.
A natural mathematician, De Moivre was hugely inspired after reading Newton’s book Principia Mathematica, and in his later life the two became great friends.
De Moivre led the way for the development of analytical geometry, and the theory of probability.
www.mathsyear2000.org /timeline/test-mathinfo.php?m=abraham-de-moivre   (457 words)

  
 Abraham de Moivre   (Site not responding. Last check: 2007-10-10)
rightAbraham de Moivre (May 26, 1667 - November 27, 1754), was a French mathematician famous for de Moivre's formula, which links complex numbers and trigonometry, and for his work on the normal distribution and probability theory.
De Moivre was a Calvinist, and he left France after the revocation of the Edict of Nantes (1685), and spent the remainder of his life in England.
Moivre [De Moivre, Demoivre, Abraham De De Moivre, Abraham De Moivre, Abraham De Moivre, Abraham de:Abraham de Moivre es:Abraham de Moivre fr:Abraham de Moivre it:Abraham de Moivre nl:Abraham de Moivre ja:&12450;&12502;&12521;&12540;&12512;&12539;&12489;&12539;&12514;&12450;&12502;&12523; pl:Abraham de Moivre sv:Abraham de Moivre uk:&1040;&1073;&1088;&1072;&1093;&1072;&1084; &1076;&1077; &1052;&1091;&1072;&1074;&1088;
abraham-de-moivre.iqnaut.net   (260 words)

  
 Complex numbers : De Moivre's theorem : De Moivre's theorem
Multiplying two complex numbers in polar form is easily undertaken by using the rules set out in the last section.
This result can be extended to the nth power and is known as De Moivre's Theorem.
De Moivre's theorem and the rule for dividing complex numbers in polar form can be used to simplify fractions involving powers.
scholar.hw.ac.uk /site/maths/topic17.asp?outline=no   (188 words)

  
 Illustration of the Central Limit Theorem
De Moivre was a superb mathematician who fled the renewed persecution of Protestants after the revocation of the Edict of Nantes.
In particular, de Moivre sought to determine the probability of the most frequent occurrence in a binomial distribution, which found to be approximated by
The use of Stirling's formula for the factorial, which apparently was essentially discovered by de Moivre, gives the result found by de Moivre.
www.sjsu.edu /faculty/watkins/randovar.htm   (930 words)

  
 Interactive Mathematics Miscellany and Puzzles
De Moivre; he knows these things better than I do.
These numbers were studied by the English mathematician Abraham De Moivre (1667-1754) long before it was realized that they had a geometrical meaning.
You might think that this was a very deep result, but in fact it's surprisingly easy to verify it, using De Moivre's numbers.
www.cut-the-knot.org /books/conway/rat_tri.shtml   (452 words)

  
 DeMoivre   (Site not responding. Last check: 2007-10-10)
Abraham de Moivre was a Protestant French mathematician who emigrated to England at the age of 22 to avoid religious persecution after the Edict of Nantes, which gave rights to the Protestant minority, was rescinded; he is best known now for de Moivre's Theorem, which deals with roots of unity in the complex plane.
According to legend, de Moivre correctly predicted the day of his own death.
He noticed that he was sleeping fifteen minutes longer each night, and doing the math, he figured that at that rate, eventually he would sleep more than 24 hours in a stretch.
binomial.csuhayward.edu /DeMoivre.html   (182 words)

  
 Direct Proof of De Moivre's Theorem
In §2.10, De Moivre's theorem was introduced as a consequence of Euler's identity:
Proof: To establish the ``basis'' of our mathematical induction proof, we may simply observe that De Moivre's theorem is trivially true for
emerges readily from De Moivre's theorem, nor does it establish a definition for imaginary exponents (which we defined using Taylor series expansion in §3.7 above).
ccrma-www.stanford.edu /~jos/mdft/Direct_Proof_De_Moivre_s.html   (216 words)

  
 PlanetMath: de Moivre identity
This is called de Moivre's formula, and besides being generally useful, it's a convenient way to remember double- (and higher-multiple-) angle formulas.
Since the imaginary parts and real parts on each side must be equal, we must have
This is version 8 of de Moivre identity, born on 2002-02-16, modified 2005-06-15.
planetmath.org /encyclopedia/DeMoivreIdentity.html   (116 words)

  
 De Moivre's theorem: raising a complex number to a power   (Site not responding. Last check: 2007-10-10)
In the previous section we saw that to multiply two complex numbers together, when they are in exponential form, we just multiply their moduli and add their arguments (i.e.
This is a useful result, known as De Moivre's theorem.
De Moivre's theorem also holds if n is negative.
www.ucl.ac.uk /Mathematics/geomath/level2/complex/cn13.html   (262 words)

  
 Complex numbers : De Moivre's theorem : De Moivre's theorem and nth roots
Complex numbers : De Moivre's theorem : De Moivre's theorem and nth roots
De Moivre's theorem is not only true for the integers but can be extended to fractions.
This cube root is obtained by dividing the argument of the original number by 3
scholar.hw.ac.uk /site/maths/topic19.asp?outline=   (429 words)

  
 Complex numbers : De Moivre's theorem : De Moivre's theorem and multiple angle formulae (via CobWeb/3.1 ...   (Site not responding. Last check: 2007-10-10)
Complex numbers : De Moivre's theorem : De Moivre's theorem and multiple angle formulae (via CobWeb/3.1 planetlab1.isi.jhu.edu)
De Moivre's theorem is extremely useful in deriving trigonometric formulae.
Using De Moivre's and the Binomial theorem express cos 4
scholar.hw.ac.uk.cob-web.org:8888 /site/maths/topic18.asp?outline=no   (68 words)

  
 de Moivre, Abraham   (Site not responding. Last check: 2007-10-10)
He discovered the approximation of the BINOMIAL DISTRIBUTION known as the NORMAL DISTRIBUTION.
He also investigated mortality statistics and the foundation of the theory of annuities and devised DE MOIVRE'S THEOREM, a trigonometric formula for obtaining powers and roots of complex numbers.
A French Protestant, de Moivre emigrated (1685) to England following the revocation of the Edict of Nantes.
euler.ciens.ucv.ve /English/mathematics/demoivre.html   (114 words)

  
 Abraham de Moivre
His merit was so well known and acknowledged by the Royal Society that they judged him a fit person to decide the famous contest between Newton and Gottfried Leibniz.
The life of De Moivre was quiet and uneventful.
His old age was spent in obscure poverty, his friends and associates having nearly all passed away before him.
www.nndb.com /people/441/000097150   (325 words)

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