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Fibonacci Leonardo:     more detail

The metaphysics of figures & symbols in Fibonacci's conception of the universe by Leonardo Fibonacci, 1978 Fibonacci's Liber Abaci by Leonardo Fibonacci, Laurence E. Sigler, 2002-09-10 The Book of Squares. An annotated translation into modern English by L. E. Sigler by Leonardo Pisano Fibonacci, 1987-01-28 The Fibonacci method of trading in stocks and commodities by Alphonse De Rockeville, 1979 The Fibonacci's secret discoveries into the occult power of numbers by Leonardo Fibonacci, 1978 Leonardo Pisano (Fibonacci) : The Book of Squares by L. E. Sigler, 1987 The Fibonacci rhythm theory as it applies to history and the stock market by Carlo Maria Flumiani, 1975 The strange Fibonacci's discoveries in numerology for greater living achievement (A Library of the occult series book) by Thomas Calvert, 1978 Jacopo da Firenze's Tractatus Algorismi and Early Italian Abbacus Culture (Science Networks. Historical Studies) by Jens Høyrup, 2007-10-23

lists with details

81. Euclid's Elements, Leonardo Fibonacci, Chemistry, Black African Mathematicians,
    I used his discovery of the breeding patterns, called the fibonacci series,to design the EmeagwaliFibonnaci hypertree computer networks.  
    http://emeagwali.com/interviews/Guardian/5.html
    
    Extractions: I use various geometrical figures such as this compound of the small hexagonal hexecontahedron and its dual small snub icosicosidodecahedron to design algorithms and computers such as the hyperball. I used Euclidean geometry to formulate my theory of tessellated models for parallel computing and to introduce the concepts of parallel data spaces. My theory of tessellated models demonstrated that sphere packing and fast calculations needed to recover and discover more oil are related subjects. The African mathematician Fibonnaci also influenced my work. I used his discovery of the breeding patterns, called the Fibonacci series, to design the Emeagwali-Fibonnaci hypertree computer networks. I used ideas from the field of chemistry to design algorithms, software and computers that are enantiomeric - that is, have left- and right-handed versions like shoes.

82. Leonardo Pisano Fibonacci- Germantown Academy Mathematica Biographies
    leonardo Pisano fibonacci by Stephanie Lawlor '00. GA Chronicle May 21,1999.Stuff from Stef. Biography of leonardo fibonacci. Online Available.  
    http://www.ga.k12.pa.us/academics/US/Math/Millar/Fibonacci/Lawlor.htm

83. Leonardo De Pisa, Fibonacci (1.170-1250)
    sencillo; Sucesiones en la naturaleza. José Mari López Goitia  
    http://ikasleak.lg.ehu.es/~lcalogoj/fibonacci/node8.html

84. Untitled Document
    leonardo fibonacci, leonardo af Pisa (11801250). fibonacci var enanerkendt matematiker fra middelalderens italien. Gennem rejser  
    http://ek.dk/~kaare/matematik/historisk/biogFibonacci.html

85. Fibonacci
    Translate this page Alessandro Home Page. A Matemática Ressurge na Itália leonardo fibonaccileonardo fibonacci ( filho de Bonacci) ou leonardo Pisano  
    http://sites.uol.com.br/sandroatini/fibonacc.htm
    
    Extractions: Leonardo Fibonacci L eonardo Fibonacci ( filho de Bonacci) ou Leonardo Pisano, filho de um próspero encarregado de negócios das cidades de Veneza, Pisa e Gênova, nasceu em Pisa em 1175 e passou parte da juventude no norte da Africa, onde travou contato com a cultura árabe. Em seguida viajou pelo mediterrâneo, visitando o Egito, a Síria, a Grécia, A Sícília e Cosntantinopla, o que lhe permitiu estudar vários sistemas aritméticos então existentes. Convencido que o método hindú-arábe era o melhor de todos, passou a dedicar seus esforços a transmiti-los a seus compatriotas italianos, o que o afastou totalmente de suas atividades comerciais de sua família. De volta à Itália, publicou em 1.202 sua primeira obra , o Liber Abaci, onde pela primeira vez um cristão discorria sobre álgebra. As palavras iniciais do Liber Abaci são históricas : "Estes são os nove símbolos hindus 9,8,7,6,5,4,3,2,1. Com eles, mais o símbolo 0, que em árabe é chamado zéfiro, qualquer número pode ser escrito. ". E foi assim que os algarísmos arábicos foram introduzidos na Europa em 1.202. Em 1.220 Leonardo escreveu a Pratica Geometriae e em 1.228 um edição enriquecida e ampliada do Liber Abaci. A estas alturas, sua reputação de grande matemático já era conhecida e, em 1.225, quando de passagem por Pisa, o imperador Frederico II decidiu promover uma espécie de competição para testar a habilidade de Leonardo. Uma das questões propostas por um conselheiro do imperador foi encontrar, pelos métodos euclidianos, um segmento x que satisfizesse a equação : x

86. Porträt: Fibonacci
    Translate this page Porträt leonardo von Pisa (fibonacci). leonardo wurde 1170 in Pisageboren. Wenig ist über leonardo's Leben bekannt. Die Schaffung  
    http://www.zahlenjagd.at/fibonacc.html
    
    Extractions: Die Schaffung eines auf dem Positionssystem beruhenden dezimalen Stellenwertsystems ist eine der bedeutendsten kulturellen Leistungen der indischen Völker. Das indische System ist in Bagdad im 8.Jahrhundert bekannt. Die Araber greifen dieses indische System auf und dadurch, daß der größte Teil Spaniens von den Arabern beherrscht wird, gelangen die indischen Ideen auch nach Europa und wurden auch den lateinischen Gelehrten bekannt. Den entscheidenden Durchbruch der 'indischen Rechenweise' geschieht durch das Buch 'Liber abbaci' (1202) von Leonardo von Pisa. Als Sohn eines italienischen Diplomaten in Nordafrika lernte er die arabische Wissenschaft bald kennen und er verwendet konsequent die indisch-arabischen Ziffern und zeigt damit auch die Vorteile des dekadischen Stellenwertsystems auf. In immer schnellerem Tempo beginnen jetzt die indischen Rechenverfahren in das Rechnungswesen der Kaufleute und damit der Schulstuben einzudringen. Die 'Practica geometriae' (1220) verbreitete die arabischen Ziffern und die indischen Rechenverfahren in Europa. Die Annäherung an pi wurden mit 864/275 (=3.14182) und mit 1440/458.33 (=3.14182) angegeben. Die in diesen Büchern behandelten zahlentheoretischen Probleme und die angegebenen Lösungsverfahren gingen erstmals über die Kenntnisse der arabischen (und auch des griechischen) Kulturkreises hinaus.

87. Leonardo De Pisa - Fibonacci
    Translate this page fibonacci ou leonardo de Pisa, desempenhou um importante papel ao retificara antiga matemática, e contribui significantemente com descobertas suas.  
    http://www.brasil.terravista.pt/magoito/1866/Historia/fibonacci.htm

88. Who Is Leonardo Fibonacci?
    Who is leonardo fibonacci? He was an Italian mathmatician born in theyear 1170 who created this famous number series. He discovered  
    http://www.lex5.k12.sc.us/lmes/math/fibonacci/tsld004.htm

89. Leonardo Fibonacci
    Translate this page I NUMERI DI fibonacci. leonardo fibonacci , detto anche leonardo Pisanonacque a Pisa verso il 1170. Qui verso il 1200, dopo numerosi  
    http://scuole.provincia.ps.it/ls.laurana/primaa/fibonacci.htm

90. FIBONACCI - Ýstatistik & Bilgisayar
    fibonacci (leonardo fibonacci). VE fibonacci DIZISI. Pisali leonardo fibonacciRönesans öncesi Avrupa'nin en önde gelen Matematikçisidir.  
    http://www.bilist.8m.com/istatistik_dosyalar/fibo.htm
    
    Extractions: FIBONACCI (LEONARDO FIBONACCI) VE FIBONACCI DÝZÝSÝ Ýstatistik Abaküs Altýn Oran Bilim Adamý ... Seminer - Uygulamalar Süper Lig Programlama Bilim ve Teknoloji Röportajlar Oyunlar ... Anasayfa KÝM BU FIBONACCI? Pisalý Leonardo Fibonacci Rönesans öncesi Avrupa'nýn en önde gelen Matematikçisidir. Fibonacci için, "Matematik'i Araplar'dan alýp, Avrupa'ya aktaran kiþi" denilebilir. Fibonacci'nin yaþamý hakkýnda matematik yazýlarý dýþýnda pek az þey biliniyor. Ýlk ve en iyi bilinen kitabý Liber Abaci 'nin yazýldýðý 1202 tarihine bakýlýrsa, 1170 dolayýnda doðmuþ olabileceði sanýlýyor. Bu yönde pek kanýt olmamakla birlikte Ýtalya'nýn Pisa kentinde doðmuþ olmasý olasýlýðý var. Fibonacci henüz çocuk yaþtayken, Pisa'lý bir tüccar olan babasý Guglielmo, Pisalý tüccarlarýn yaþadýðý Bugia adlý Kuzey Afrika limanýna Konsül olarak atanýr. (Bu liman, þimdiki Bejaya'dýr ve Cezayir'dedir.) Babasý burada oðluna hesap öðretmesi için bir Arap hoca tutar. Fibonacci daha sonra Liber Abaci'de hocasýndan "Dokuz Hint Rakamýnýn Sanatýný" öðrenirken duyduðu mutluluðu anlatacaktýr. Fibonacci'nin Liber Abaci adlý kitabýnýn yayýnlandýðý yýllarda, Hindu-Arap sayýlarý, Avrupa'da Harzemli Muhammed Bin Musa'nýn eserlerinin çevirilerini okuyabilmiþ bir kaç "aydýn" dýþýnda bilinmiyordu. Fibonacci, kitabýnda bu rakamlarý anlatmaya þöyle baþlar: "Dokuz Hint Rakamý 9 8 7 6 5 4 3 2 1 dir. Bu dokuz rakama "0" iþaretinin de eklenmesiyle, her hangi bir sayý yazýlabilir."

91. Leonardo Von Pisa - Fibonacci
    Translate this page Partner fuer Bueroartikel, -moebel und -technik. Biografie zu dem Mathematiker leonardovon Pisa (fibonacci). 233. Bonus vorhanden. leonardo von Pisa (fibonacci).  
    http://www.klassenarbeiten.net/referate/mathematik/fibonacci.shtml
    
    Extractions: Den entscheidenden Durchbruch der 'indischen Rechenweise' geschieht durch das Buch 'Liber abbaci' (1202) von Leonardo von Pisa. Als Sohn eines italienischen Diplomaten in Nordafrika lernte er die arabische Wissenschaft bald kennen und er verwendet konsequent die indisch-arabischen Ziffern und zeigt damit auch die Vorteile des dekadischen Stellenwertsystems auf.

92. Leonardo Fibonacci
    leonardo fibonacci had a very different childhood from most children.He leonardo fibonacci died in 1250 in Pisa, Italy. Resources  
    http://www.geocities.com/type3kids/sarahfibonacci.html
    
    Extractions: Leonardo Pisano Fibonacci was born in 1170 in the city of Pisa, Italy. He lived in Italy and North Africa. His father was Guilielmo Bonacci, whose job was to represent the merchants of the Republic of Pisa who were trading in Bugia. Leonardo was educated in North Africa. His father intended for Leonardo to become a merchant and so he arranged for his instruction in calculation techniques, especially those involving the Hindu-Arabic numerals which had not yet been introduced into Europe. Some of the most important events in Leonardo's life were when he took trips to Egypt, Syria, Greece, Sicily, and Provence to carry out his father's business. Other important events were when he finished his mathematical compositions, the Liber Abbci, published in 1202, and the Practia Geometriae, published in 1220. Fibonacci worked in many areas of math, including algebra, geometry, and number systems. Fibonacci became famous for doing many things. He founded the Fibonacci sequence (0,1,1,2,3,5,8,13,21,34,55,89 ...); the pattern of this sequnce is to add the last two numbers to get the next. Leonardo also introduced Arabic numbers to Europe, and knew many arithematic systems. In addition, if Fibonacci hadn't introduced Hindu-Arabic numbers to us, we'd still be using Roman numerals! Leonardo Fibonacci died in 1250 in Pisa, Italy.

93. FIBONACCI, Leonardo - Www.matematik.dosyasi.com
    leonardo fibonacci (1170 1230) Pisa'li fibonacci, Rönenans'tan önce, Asyaülkelerinin matematigini Avrupa'ya en etkili olarak tasiyan ve götüren  
    http://user.domaindlx.com/matematikdosyasi/matematikciler/fibonacci.htm

94. ThinkQuest Library Of Entries
    The summary for this Korean page contains characters that cannot be correctly displayed in this language/character set.  
    http://library.thinkquest.org/22584/tmh3054.htm
    
    Extractions: The web site you have requested, Mathematics History , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Mathematics History click here Back to the Previous Page The Site you have Requested ... click here to view this site Click image for the Site Languages : Site Desciption An extensive history of mathematics is at your fingertips, from Babylonian cuneiforms to advances in Egyptian geometry, from Mayan numbers to contemporary theories of axiomatical mathematics. You will find it all here. Biographical information about a number of important mathematicians is included at this excellent site.

95. História Da Matemática Na Europa - Fibonacci
    Translate this page O nome porque é actualmente mais conhecido, fibonacci, foi lhe atribuído peloeditor, do século XIX, das suas obras. Em 1200 leonardo regressa a Pisa e  
    http://www.malhatlantica.pt/mathis/Europa/Medieval/fibocacci/Fibonacci.htm

96. Math Lair - Leonardo Of Pisa (Fibonacci)
    Click Here! leonardo of Pisa (fibonacci). The merchant/mathematicianleonardo of Pisa, who was also known as fibonacci (son of Bonacci  
    http://www.stormloader.com/ajy/fibonacci-2.html
    
    Extractions: The merchant/mathematician Leonardo of Pisa, who was also known as Fibonacci (son of Bonacci), was the only European mathematician of note during the Middle Ages. His father was a Pisan merchant who was at one time a customs officer for the North African city of Bugia. Leonardo visited many of the Mediterranean area's centres of learning, including Egypt, Greece, Sicily, and Syria. From these visits he learned the mathematics of the scholars and the calculating schemes in use. In 1202, he published the first of his four mathematical books, Liber Abaci , which used the Hindu- Arabic number system, introducing the digits 0-9 to Europe. The Muslim influence is clearly demonstrated in his books by the fact that Fibonacci wrote the digits in descending order, and wrote mixed fractions with the fractional part first. Fibonacci is most famous for the Fibonacci Sequence , a sequence that was named (in the 19 th century) for him based on one of the problems in Liber Abaci Last updated September 9, 2001. URL: http://www.stormloader.com/ajy/fibonacci-2.html

97. I NUMERI DI FIBONACCI
    fibonacci, vinse la gara. Figlio d'un  
    http://www.criad.unibo.it/galarico/calcolo/fibonacci.htm
    
    Extractions: I NUMERI DI FIBONACCI Nel 1223 a Pisa, l'imperatore Federico II di Svevia, fu ben felice di assistere a un singolare torneo tra abachisti e algoritmisti, armati soltanto di carta, penna e pallottoliere. In quella gara infatti si dimostrò che col metodo posizionale indiano appreso dagli arabi si poteva calcolare più velocemente di qualsiasi abaco. Il test era il seguente: "Quante coppie di conigli si ottengono in un anno -salvo i casi di morte- supponendo che ogni coppia dia alla luce un'altra coppia ogni mese e che le coppie più giovani siano in grado di riprodursi già al secondo mese di vita?". Un pisano, Leonardo, detto Bigollo, conosciuto anche col nome paterno di "fillio Bonacci" o Fibonacci, vinse la gara. Figlio d'un borghese uso a trafficare nel Mediterraneo, Leonardo visse fin da piccolo nei paesi arabi e apprese i principi dell'algebra, il calcolo, dai maestri di Algeri, cui era stato affidato dal padre, esperto computista. Più tardi, sempre esercitando la mercatura, Leonardo viaggiò in Siria, Egitto, Grecia, conoscendo i massimi matematici musulmani. Da queste esperienze nacque il Liber Abaci , un colossale trattato che dischiuse all'Occidente i misteri delle nove "figure" indiane e del segno sconosciuto ai greci e ai latini, "quod arabice zephirum appellantur", che indica un numero vuoto come un soffio di vento: zefito appunto, zefr, o zero.

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