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Fibonacci, Leonardo of Pisa
(off WIKIPEDIA Sept 2011)
Fibonacci
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For the number sequence, see Fibonacci number. For the Prison Break character, see Otto Fibonacci.
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Fibonacci
Portrait by unknown artist
Born c. 1170
Died c. 1250 (aged around 80)
Nationality Italian
Fields Mathematician
Known for Fibonacci number
Fibonacci prime
Brahmagupta–Fibonacci identity
Fibonacci polynomials
Fibonacci pseudoprime
Fibonacci word
Reciprocal Fibonacci constant
Introduction of digital notation to Europe
Pisano period
Practical number
Leonardo Pisano Bigollo (c. 1170 – c. 1250)[1] also known as Leonardo of Pisa, Leonardo Pisano, Leonardo Bonacci, Leonardo Fibonacci, or, most commonly, simply Fibonacci, was an Italian mathematician, considered by some "the most talented western mathematician of the Middle Ages."[2]
Fibonacci is best known to the modern world for [3] the spreading of the Hindu-Arabic numeral system in Europe, primarily through the publication in the early 13th century of his Book of Calculation, the Liber Abaci; and for a number sequence named after him known as the Fibonacci numbers, which he did not discover but used as an example in the Liber Abaci.[4]
Liber Abaci
Main article: Liber Abaci
In the Liber Abaci (1202), Fibonacci introduces the so-called modus Indorum (method of the Indians), today known as Arabic numerals (Sigler 2003; Grimm 1973). The book advocated numeration with the digits 0–9 and place value. The book showed the practical importance of the new numeral system, using lattice multiplication and Egyptian fractions, by applying it to commercial bookkeeping, conversion of weights and measures, the calculation of interest, money-changing, and other applications. The book was well received throughout educated Europe and had a profound impact on European thought.
Fibonacci sequence
Main article: Fibonacci number
Liber Abaci also posed, and solved, a problem involving the growth of a population of rabbits based on idealized assumptions. The solution, generation by generation, was a sequence of numbers later known as Fibonacci numbers. The number sequence was known to Indian mathematicians as early as the 6th century,[8][9][10] but it was Fibonacci's Liber Abaci that introduced it to the West.
In the Fibonacci sequence of numbers, each number is the sum of the previous two numbers, starting with 0 and 1. This sequence begins 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987 ... [11]
The higher up in the sequence, the closer two consecutive "Fibonacci numbers" of the sequence divided by each other will approach the golden ratio (approximately 1 : 1.618 or 0.618 : 1).
Aristid Lindenmayer
Newton
gravity, calculus
inferior claculus-notation delayed britain.
Newton's Principia Mathematica
Lord Bertrand Russel, youth
Lord Bertrand Russel, old, with a blackboard
Principia Mathematica
Sir Roger Penrose,
Penrose Tiles
Botanist
Aristid Lindnmayer 1925-1989
modest inventor of
lsystems, l-sysstems, Lindnmayer Systems
and the term "FASS"
His brightest students profess at
University of Calgary, Canada.
Those UCalgary professors
have, brilliantly, extended
the lsystems domain.
Another Canadian,
the creator of the lsystems in these pages
has some modest lsystems extensions
as well as FASS's.
e.g.
I
Taking the string-generation step
out of lsysing ...
saving space, time and patience.
II
Polar lsystems
III
The cross FASS
--
Canada (BC)
also boasts the most popular
fractal/lsystems web page
i know of:
spanky triumf
(No wonder the Canadian Flag
is featured here.)
van Koch
Benoit Mandelbrot
George Boole
Lissajous
Escher.jpg
Martin Gardner,
Scientific American Magazine
Coxeter, Harold Scott MacDonald
Died in 2003, lived 96 years
mostly
Professing at University of Toronto, Canada.
Born February 9, 1907(1907-02-09)
London, England
Died March 31, 2003 (aged 96)
Canada
Professor Coxeter lived :- (09 February 1907 - 31 March 2003)
longer than Sir Winston Leonard Spencer-Churchill
(British prime minister, WWII )
(30 November 1874 – 24 January 1965)
longer than George Bernard Shaw
(dramatist, satirist)
(26 July 1856 – 2 November 1950)
shorter than Lord Bertrand Russell
(logician, philosopher, activist, free lover)
(18 May 1872 – 2 February 1970)
Camille Jordan.jpg,
Jordan Curve, Grooup Theory,
like Mandelbrot, both educated in Paris, France
but eccentric, not a fame/money grabber.
Though hia Jordan Curve Theorem is
correct (& intuitive)
his proof was wrong.
engineer, no mathematician,
inventor of computer
GUI (object-oriented programming, SMALLTALK)
and the first mouse
at XEROX PARK,
recipient of many honors.
SeymourPapertWolfram of Mathematica Research,
A New Kind of Science.
Some compare Wolfram to Newton
famous mathematicians
Indexes of Biographies
Biographies of Women Mathematicians
Greek Mathematics and Its Modern Heirs
Mathematicians
Mathematicians Today
Donald E. Knuth (computer programmer)
Basic information:
full name | Donald Ervin Knuth
date of birth | 10-01-1938 (age: 72 years)
place of birth | Milwaukee,Wisconsin,United States
BOOK: The Art of Computer Programming (a classic, 3 or 4 volumes)
Achievements: invented
TEX programming language, mainly for math typesetting/publishing
A notation for typesetting strange fonts
Knuth curve, see his 1971 article in "The Mathematics Journal"
(info courtesy wolfram alpha search engine, 2 february 2010, etc)
TEX
was superceded by a macro version: LATEX (not directly by Knuth himself)
---------------------------------- google pedia ---------------------------------- Three Famous Mathematicians. RW Prielipp - Math Teacher, 1969 - eric.ed.gov ERIC logo. EJ001183 - Three Famous Mathematicians. ERIC Home. ... ERIC #: EJ001183. Title: Three Famous Mathematicians. Authors: Prielipp, Robert W. ... Cached - Web Search Six Famous Mathematicians RE Prather - Mathematics Magazine, 2007 - ingentaconnect.com ... Six Famous Mathematicians. Author: Prather, Ronald E. ... Abstract: A crossword puzzle in which, once solved, the names of six famous mathematicians are embedded. ... Web Search Two Famous Mathematicians Play With the Fire of Life SM Tenney - Physiology, 1994 - Am Physiological Soc ... history of botany. Circulation 26:987-1012,1962. byS.MarshTenney Two Famous Mathematicians Play With the Fire of Life The nature of ... 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Cited by 13 - Related Articles - Web Search [CITATION] DS Freed et all (eds.), Quanum Fields and Strings: A Course for Mathematicians, Vols 1 and 2 P Deligne, P Etingof - Institute for Adavanced Study (American Mathematical Society … Cited by 13 - Related Articles - Web Search [CITATION] How Polish Mathematicians Deciphered the Enigma M Rejewski - Annals of the History of Computing, 1981 Cited by 13 - Related Articles - Web Search [BOOK] Mathematicians and their times LC Young - 1981 - sole distributors for the USA, Elsevier North-Holland New York Cited by 13 - Related Articles - Web Search Minkowski, Mathematicians, and the Mathematical Theory of Relativity - all 5 versions » S Walter - The Expanding Worlds of General Relativity, 1999 - books.google.com Minkowski, Mathematicians, and the Mathematical Theory of Relativity Scott Walter T HE IMPORTANCE OF THE THEORY OF i nvrr for twentieth-century physics, and ... Cited by 15 - Related Articles - Web Search [PS] How mathematicians prove theorems - all 4 versions » E Melis - Proceedings of the 16th Annual Conference of the Cognitive …, 1994 - kluedo.ub.uni-kl.de ... TIK D-66041 SAARBR UCKEN GERMANY WWW: http://js-s fbs un. cs .un is bd e/p ub /ww w/ Page 2. How Mathematicians Prove Theorems 1 ... 2.1 Reports of Mathematicians ... Cited by 12 - Related Articles - View as HTML - Web Search Refugee mathematicians in the United States of America, 19331941: Reception and reaction - all 3 versions » N Reingold - Annals of Science, 1981 - ingentaconnect.com Page 1. ANNALS OF SC|ENCE, 38 (1981), 313--338 Refugee Mathematicians in the United States of America, 1933-1941: Reception and Reaction ... Cited by 13 - Related Articles - Web Search [CITATION] Matrix theory and applications for engineers and mathematicians A Graham - 1979 - E. Horwood New York: Halsted Press, Chichester [Eng.] Cited by 14 - Related Articles - Web Search [CITATION] Quantum Groups| Proceedings of the International Congress of Mathematicians V Drinfeld - Providence, RI: American Mathematical Society, 1986 Cited by 12 - Related Articles - Web Search [CITATION] Logicfor mathematicians JB ROSSER - McGraw-Hill Cited by 12 - Related Articles - Web Search [CITATION] Factorial analysis for non-mathematicians CJ Adcock - 1954 - Melbourne University Press, Carlton Cited by 12 - Related Articles - Web Search [PDF] Becoming Mathematicians: Women and Students of Color Choosing and Leaving Doctoral Mathematics - all 5 versions » AH Herzig - Review of Educational Research, 2004 - rer.sagepub.com ... 74, No. 2, pp. 171–214 Becoming Mathematicians: Women and Students of Color Choosing and Leaving Doctoral Mathematics ... Becoming Mathematicians 173 Page 4. ... Cited by 12 - Related Articles - View as HTML - Web Search - BL Direct [BOOK] Mathematics and Mathematicians: Mathematics in Sweden Before 1950 L Gårding - 1998 - books.google.com MATH EMAT1CS and Mathematicians Mathematics in Sweden hefore 1950 Lars Carding R Si History of Mathematics Volume 1 1 American Mathematical Society London ... Cited by 9 - Related Articles - Web Search Emergent Mathematics or How to Help Young Children Become Confident Mathematicians D WmTEBREAD - Children's Mathematical Thinking In the Primary Years: …, 2005 - books.google.com CHAPTER 2 Emergent Mathematics or How to Help Young Children Become Confident Mathematicians DAVID WmTEBREAD The difficulties and frustrations of mathematics ... Cited by 11 - Related Articles - Web Search [BOOK] The Biographical dictionary of scientists, Mathematicians D Abbott - 1986 - P. Bedrick Books, New York Cited by 11 - Related Articles - Web Search Gregory Bateson and the mathematicians: from interdisciplinary interaction to societal functions. - all 2 versions » SP Heims - J Hist Behav Sci, 1977 - ncbi.nlm.nih.gov J Hist Behav Sci. 1977 Apr;13(2):141-59. Gregory Bateson and the mathematicians: from interdisciplinary interaction to societal functions. Heims SP. ... Cited by 14 - Related Articles - Web Search [PDF] Mathematicians and the Market - all 3 versions » G Davis - Notices of the American Mathematical Society, November, 1997 - ams.org ... 1307 Mathematicians and the Market Geoff Davis Introduction Young mathematicians have been facing dismal job prospects throughout the nineties. ... Cited by 10 - Related Articles - View as HTML - Web Search [BOOK] Tales of Physicists and Mathematicians SG Gindikin - 1988 - books.google.com ... Tales of Physicists and Mathematicians * ** * * ... Page 2. Tales of Physicists and Mathematicians Thi BOne II IHIII111111IIIII 11111II III1 I XCBZ-TPS-AWCU ... Cited by 12 - Related Articles - Web Search [CITATION] Quantum fields and strings: a course for mathematicians. Vol. 1, 2. Material from the Special Year … P Deligne, P Etingof, D Freed, L Jeffrey, D … - Institute for Advanced Study (IAS), Princeton, NJ, 1999 Cited by 10 - Related Articles - Web Search Experimentalists among the Mathematicians: Physics in the Cambridge Natural Sciences Tripos, 1851- … DB WILSON - Historical Studies in the Physical Sciences Baltimore, Md, 1982 - cat.inist.fr Experimentalists among the Mathematicians: Physics in the Cambridge Natural Sciences Tripos, 1851-1900. DB WILSON Historical Studies ... Cited by 10 - Related Articles - Web Search [CITATION] … , and Quantum Theory, 1918-1927: Adaptation by German Physicists and Mathematicians to a Hostile … P Forman, W Culture - Historical Studies in the Physical Sciences, 1971 Cited by 11 - Related Articles - Web Search [PDF] MATHEMATICS, MATHEMATICIANS, AND MATHEMATICS EDUCATION - all 6 versions » H BASS - AMERICAN MATHEMATICAL SOCIETY - ams.org ... MATHEMATICS, MATHEMATICIANS, AND MATHEMATICS EDUCATION HYMAN BASS I am one of a growing number of research mathematicians who are ... Cited by 9 - Related Articles - View as HTML - Web Search - BL Direct [BOOK] On Mathematics and Mathematicians RE Moritz - 2007 - books.google.com ... Page 2. ON MATHEMATICS AND MATHEMATICIANS (Formerly titled: Memorabilia Mathematica or the Philomaths's Quotation-Book) By Robert Edouard Moritz ... Cited by 12 - Related Articles - Web Search [PDF] Mathematicians as Educators - all 3 versions » H Bass - Notices of the American Mathematical Society (AMS), 1997 - ams.org Page 1. Mathematicians as ... Some very able and committed mathematicians turned their professional energy to this educational task, often with inspiring success. ... Cited by 8 - Related Articles - View as HTML - Web Search [BOOK] Mathematicians under the Nazis - all 7 versions » SL Segal - 2003 - ams.org ... Mathematicians under the Nazis ... Mathematicians under the Nazis Sanford L. Segal Princeton University Press, 2003 Hardcover, $85.00 ISBN 0-691-00451-X ... Cited by 10 - Related Articles - View as HTML - Web Search Some Social Characteristics of Mathematicians and Their Work - all 2 versions » CS Fisher - American Journal of Sociology, 1973 - JSTOR Some Social Characteristics of Mathematicians and Their Work. Charles S. Fisher. ... Most of the time, mathematicians sit around trying to prove things. ... Cited by 9 - Related Articles - Web Search Images of Mathematics outside the Community of Mathematicians: Evidence and Explanations. F Furinghetti - For the Learning of Mathematics, 1993 - eric.ed.gov EJ473512 - Images of Mathematics outside the Community of Mathematicians: Evidence and Explanations. ERIC logo. EJ473512 - Images ... Cited by 7 - Related Articles - Cached - Web Search [CITATION] … , and Quantum Theory 1918-27: Adaptation by German Physicists and Mathematicians to a Hostile … P Forman - Historical Studies in the Physical Sciences, 1971 Cited by 10 - Related Articles - Web Search Key authors: H Kesten - R Sachs - M Talagrand - A Sudbery - S Baron-Cohen Result Page: 1 2 3 4 5 6 7 8 9 10 Next Advanced Scholar Search Scholar Preferences Scholar Help Web Images Maps News Video Gmail more ▼Groups Books Scholar Finance Blogs Calendar Photos Documents even more » Sign in Google Advanced Search Preferences Search: the web pages from Canada Web Results 1 - 10 of about 97 for allintitle: descartes mathematician. (0.28 seconds) René Descartes. The 17th Century French Philosopher and ...Rene Descartes, the 17th century French philosopher and mathematician who believed that thinking is the very essence of Living. A brief outline on his Life ... members.tripod.com/s_kichu/descartes.html - 22k - Cached - Similar pages Term Papers on Rene Descartes Mathematician - Term Papers LabCollege term papers on Rene Descartes Mathematician, research papers, and essay papers. Find your term paper at Term Papers Lab. www.termpaperslab.com/term-papers/84779.html - 17k - Cached - Similar pages Rene Descartes Mathematician Free Term Papers, Free Essays, and ...René Descartes: “Father of Modern Mathematics\" 1596-1650 ... www.oppapers.com/essays/Rene-Descartes-Mathematician/84779 - 17k - Cached - Similar pages The Life of Rene Descartes: French Mathematician, Scientist, and ...Rene Descartes (1596-1650) is known for his Discourse on Method (1637) as well as numerous other philosophical, mathematical, and scientific meditations. philosophybooks.suite101.com/article.cfm/the_philosophy_of_ren_descartes - 34k - Cached - Similar pages The French mathematician René Descartes (1596–1650) demonstrated ...The French mathematician René Descartes (1596–1650) demonstrated that the square root of any line segment could be constructed by the simple, but ingenious, ... www.britannica.com/.../67611/The-French-mathematician-Rene-Descartes-demonstrated-that-the-square-root - Similar pages The religion of Rene Descartes, philosopher and mathematician12 Jul 2005 ... The religious affiliation (religion) of Rene Descartes, rationalist philosopher and mathematician. www.adherents.com/people/pd/Rene_Descartes.html - 5k - Cached - Similar pages Rene Descartes French Mathematician and Philosopher Giclee Print ...Rene Descartes French Mathematician and Philosopher Giclee Print by William Holl - at AllPosters.com. Choose from over 500000 Posters & Art Prints. www.allposters.com/-sp/Rene-Descartes-French-Mathematician-and-Philosopher-Posters_i1868867_.htm - 75k - Cached - Similar pages Rene Descartes: Cogito Ergo Sum: French Philosopher, Mathematician ...Philosophy and works of great thinker Rene Descartes, known for 'cogito ergo sum' ('I think therefore I am'.) great-philosophers.suite101.com/article.cfm/rene_descartes_cogito_ergo_sum - 33k - Cached - Similar pages Mathematician born in DescartesYou can see a map showing only coastlines, rivers, etc or a coloured map showing the present day countries. Click on a name below to go to the biography. ... www-gap.dcs.st-and.ac.uk/~history/BirthplaceMaps/Descartes.html - 3k - Cached - Similar pages Descartes | Rene; | 1596-1650 | French mathematicianDescartes | Rene; | 1596-1650 | French mathematician. Explicatio ... in Geometria Cartesiana, et ... de natura aequationum (1675-1685); Notae Quaedam in 3. ... epona.lib.ed.ac.uk:1821/pers/d/GB_0237_NAHSTE_P1105/ - 5k - Cached - Similar pages 1 2 3 4 5 6 7 8 Next Search within results | Language Tools | Search Tips | Dissatisfied? Help us improve | Try Google Experimental --------------------------------------------------------------------------------