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Topic: Edouard Lucas

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	Edouard Lucas - Wikipedia, the free encyclopedia
		François Édouard Anatole Lucas (April 4, 1842 in Amiens - October 3, 1891) was a French mathematician who was educated at the École Normale Supérieure.
		Lucas is known for his study of the Fibonacci sequence.
		Lucas was also interested in recreational mathematics; He discovered an elegant binary solution to the Baguenaudier puzzle.
	en.wikipedia.org /wiki/Edouard_Lucas (260 words)

	Francois-Edouard-Anatole Lucas Biography / Biography of Francois-Edouard-Anatole Lucas World of Mathematics Biography
		Lucas was born in 1842 in Amiens, France, where he received an education at the Ecole Normale.
		Lucas was extremely fond of calculation, but in his spare time often worked on plans to create a large-capacity binary-scale computer.
		Lucas was also recognized for his original work on sequences (e.g., 1,1,2,3,5,8,13, etc.), in which every number in the sequence besides the first two is the sum of the two just before it.
	www.bookrags.com /biography-francois-edouard-anatole-lucas-wom (401 words)

	Lucas - Wikipedia, the free encyclopedia
		Charles Lucas, a Royalist general in the English Civil War.
		Joseph Lucas, was a British automotive electrical components manufacturer - Lucas Automotive, LucasVarity.
		Lucas is probably a contraction of Latin Lucanus, lit.
	en.wikipedia.org /wiki/Lucas (149 words)

	Lucas and Binet's mathematical researches
		Lucas believed that with the help of machines or other devises the addition is more convenient to perform in the binary number system, than in the decimal one".
		From the historical point of view it is interesting that Lucas already in the 19th century, that is long before originating modern computers, paid attention on technical advantage of the binary number system, that is, he almost for one century anticipated "John von Neumann Principles" underlying modern electronic computers.
		Lucas and Binet's investigations became by that launch pad for the group of the American 20th century mathematicians who organized in 1963 the Fibonacci Association and begun to issue "The Fibonacci Quarterly" since 1963.
	www.goldenmuseum.com /0504MathResearch_engl.html (910 words)

	ÉDOUARD LUCAS (Site not responding. Last check: 2007-10-08)
		Lucas was born in Amiens, France, where he attended the Ecole Normale.
		After serving as an artillery officer in the Franco-Prussion War, Lucas was appointed professor of mathematics at Lycée Saint Louis, and later, at Lycée Charlemagne, both in Paris.
		Lucas is credited with introducing this puzzle in 1883 in one of his mathematics-recreation publications.
	faculty.evansville.edu /ck6/bstud/lucas.html (404 words)

	Lucas numbers and the Golden Section
		Lucas is best known for his results in number theory: in particular he studied the Fibonacci sequence and the associated Lucas sequence is named after him.Lucas is also well known for his invention of the Tower of Hanoi puzzle and other mathematical recreations.
		Lucas died as the result of a freak accident at a banquet when a plate was dropped and a piece flew up and cut his cheek.
		The main numerical sequence considered by Lucas is the sequence of numbers 1, 3, 4, 7, 11, 18, 29, 47,...
	milan.milanovic.org /math/english/lucas/lucas.html (387 words)

	Lucas (Site not responding. Last check: 2007-10-08)
		Edouard Lucas was educated at the École Normale in Amiens.
		The Lucas test for primes was refined by Lehmer in 1930.
		Lucas is also well known for his invention of the Tower of Hanoi puzzle and other mathematical recreations.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Lucas.html (296 words)

	noctalis.com :: Black & White :: Walkthru :: Land 2 :: The Beach Temple Puzzle (Site not responding. Last check: 2007-10-08)
		The puzzle was originally published in 1883 by French Mathematician Édouard Lucas (1842 — 1891) under the pseudonym of N. Claus de Siam of the College of Li-Sou-Stian.
		The name and college are anagrams of Lucas d’Amiens and the Lycée Saint Louis, where Lucas was teaching, and shows the French involvement in Indochina at the time ((Hanoi, however, is in Vietnam, while Siam is modern day Thailand)).
		Lucas is best known for his work in number theory and his study of the Fibonacci sequence and the associated Lucas sequence, named after him.
	noctalis.com /dis/bw/walk02b.shtml (417 words)

	Lucas Numbers and the Pascal Triangle
		Lucas is best known for his results in number theory: in particular he studied the Fibonacci sequence and the associated Lucas sequence is named after him.
		In the honor of Lucas this numerical sequence was called "Lucas numbers".
		The Lucas numbers appearing as sums of " rows" in Pascal Triangle of the second kind.
	milan.milanovic.org /math/english/fibo/fibo3.html (471 words)

	Lucas, (Francois) Edouard (Anatole) (1842-1891)
		A French mathematician well known for his study of the Fibonacci sequence and the related Lucas sequences named after him.
		He devised methods of testing for prime numbers — work that was later refined by D. Lehmer to yield the Lucas-Lehmer test for checking Mersenne numbers to see if they are prime.
		Lucas was also interested in recreational mathematics, the Tower of Hanoi being his best known puzzle game.
	www.daviddarling.info /encyclopedia/L/Lucas.html (160 words)

	Ivars Peterson's MathTrek - Stepping Beyond Fibonacci Numbers
		This string of numbers is the Lucas sequence, honoring the 19th-century French mathematician Édouard Lucas (1842–1891), who studied the Fibonacci sequence (and gave it its name).
		Lucas worked out what would happen if you started with any two whole numbers, then followed the Fibonacci rule.
		Lucas discovered many interesting new sequences and patterns.
	www.maa.org /mathland/mathtrek_09_30_02.html (922 words)

	Lucas sequences
		Generalizations of the Fibonacci sequence first investigated by Edouard Lucas.
		Another kind of Lucas sequence begins with L(0) = 2, L(1) = P.
		Such sequences are used in number theory and in testing for prime numbers.
	www.daviddarling.info /encyclopedia/L/Lucas_sequence.html (145 words)

	A19 ~ Shockwave Gallery ~ Tower of Hanoi (Site not responding. Last check: 2007-10-08)
		This puzzle was first published by Edouard Lucas, a French mathematician.
		Notice that Claus has the same letters as Lucas, Claus is an anagram of Lucas.
		It is thought that his use of the name "The Tower of Hanoi" was influenced by the French colonial interest in south east Asia.
	www.article19.com /shockwave/toh.htm (290 words)

	ABC-Dir: Lucas (Site not responding. Last check: 2007-10-08)
		Ancestors and descendants of Chester Lucas and Edwina Hawkins as compiled by Candace Carol Lucas from Potomac, Maryland, USA.
		Article which places Lucas' theories in historical context, and evaluates the effect his work has had on the economic profession.
		Biography of Edouard Lucas, inventor of the Tower of Hanoi problem.
	www.abc-directory.com /view/lucas (164 words)

	[No title] (Site not responding. Last check: 2007-10-08)
		Infact, the french mathematician Edouard Lucas proved more than one theorem.
		Yet there is one that Lucas proved in 1878 that is nowadays referred to as "Lucas' theorem" by some number theorists.
		This particular theorem provides you with a quite elegant method to calculate binomial coefficients modulo a prime number: Lucas' Theorem Let p be a prime number and n, k positive integers.
	www.math.niu.edu /~rusin/known-math/99/lucas_thm (343 words)

	On Fermat and Mersenne numbers (Édouard Lucas) p.230-235
		On Fermat and Mersenne numbers (Édouard Lucas) p.230-235
		We have seen that the number of possibilities for the game of parquet with a board of 64 squares, is equal to 2
		Lucas seems to consider that a Mersenne number is of the form 2
	www.moregimps.it /fermat/history/lucas1891.html (1026 words)

	Solves the Towers of Hanoi puzzle, invented by Edouard Lucas \| JavaScript (Site not responding. Last check: 2007-10-08)
		Solves the Towers of Hanoi puzzle, invented by Edouard Lucas
		Solution to the Towers of Hanoi puzzle, invented by the French mathematician Edouard Lucas in 1883.
		The score is to transfer the entire tower to one of the other pegs by only moving one disk at a time and never a larger one onto a smaller.
	folk.uio.no /mrstroms/universitas/Hanoi.html (79 words)

	15 puzzle
		Questo gioco, secondo Edouard Lucas, è stato inventato da un sordomuto nel 1870, e si è rapidamente diffuso negli Stati Uniti e nel mondo intero.
		Le but du jeu étant de remettre en place les nombres de 1 à 15 en ordre croissant.
		Ce jeu a été inventé, selon Edouard Lucas, par un sourd-muet en 1870, et bénéficia d'une diffusion mondiale incroyable.
	www.archimedes-lab.org /game_slide15/slide15_puzzle.html (675 words)

	Publisher description for Library of Congress control number 97044760 (Site not responding. Last check: 2007-10-08)
		Publisher description for âEdouard Lucas and primality testing / Hugh C. Williams.
		Describes the development and extension of fundamental idea of Edouard Lucas, a French mathematician and mathematical recreationist, that is still used today in the verification of the largest primes.
		Library of Congress subject headings for this publication: Numbers, Prime, Lucas, Edouard, 1842-1891
	www.loc.gov /catdir/description/wiley033/97044760.html (85 words)

	Napier's Bones and the Genaille-Lucas Rulers (Site not responding. Last check: 2007-10-08)
		One problem with Napier's rules is that the user is required to perform a number of additions and must keep track of the "carries" that occur during these additions.
		In the late 1800's, a frenchman named Henri Genaille invented an improved version of Napier's bones in response to a problem posed by Edouard Lucas.
		This web page presents Napier's Bones and the Genaille Lucas ruler in ready to print form.
	infohost.nmt.edu /~borchers/napier/napier.html (395 words)

	Find in a Library: Édouard Lucas and primality testing
		Find in a Library: Édouard Lucas and primality testing
		To find this item in a library, enter a postal code, state, province, or country in the field above.
		WorldCat is provided by OCLC Online Computer Library Center, Inc. on behalf of its member libraries.
	worldcatlibraries.org /wcpa/ow/463305b9dcc5285ca19afeb4da09e526.html (64 words)

	SuperKids Towers of Hanoi
		The Towers of Hanoi puzzle was published in 1883 by French mathematician Edouard Lucas, under the pen-name, N. Lucas de Siam.
		The "legend" which accompanied the game stated that in Benares, during the reign of the Emperor Fo Hi, there was a temple with a dome which marked the center of the world.
		You can download free versions of either Netscape or Internet Explorer that can handle these pages, or choose a different link from this page.
	superkids.com /aweb/tools/logic/towers (237 words)

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