61. Fibonacci, Leonardo (c.1170 - C.1240) También Llamado Leonardo Translate this page fibonacci, leonardo (c.1170 - c.1240) También llamado leonardo Pisano, matemáticoitaliano que recopiló y divulgó el conocimiento matemático de clásicos http://sapiens.ya.com/herminiapaissan/biografi/page6.html

Fibonacci, Leonardo (c.1170 - c.1240) También llamado Leonardo Pisano, matemático italiano que recopiló y divulgó el conocimiento matemático de clásicos grecorromanos, árabes e indios y realizó aportaciones en los campos matemáticos del álgebra y la teoría de números. Fibonacci nació en Pisa, una ciudad comercial donde aprendió las bases del cálculo de los negocios mercantiles. Cuando Fibonacci tenía unos 20 años, se fue a Argelia, donde empezó a aprender métodos de cálculo árabes, conocimientos que incrementó durante viajes más largos. Fibonacci utilizó esta experiencia para mejorar las técnicas de cálculo comercial que conocía y para extender la obra de los escritores matemáticos clásicos, como los matemáticos griegos Diofante y Euclides. Nos han quedado pocas obras de Fibonacci. Escribió sobre la teoría de números, problemas prácticos de matemáticas comerciales y geodesia, problemas avanzados de álgebra y matemáticas recreativas. Sus escritos sobre matemáticas recreativas, que a menudo los exponía como relatos, se convirtieron en retos mentales clásicos ya en el siglo XIII. Estos problemas entrañaban la suma de sucesiones, como la sucesión de Fibonacci que él descubrió (

62. The Life And Numbers Of Fibonacci An article in PASS mathematics magazine.Category Science Math Specific Numbers fibonacci Numbers...... leonardo fibonacci c11751250. fibonacci, or more correctly leonardoda Pisa, was born in Pisa in 1175AD. He was the son of a Pisan http://plus.maths.org/issue3/fibonacci/

PRIME NRICH PLUS Current Issue ... Subject index Issue 23: Jan 03 Issue 22: Nov 02 Issue 21: Sep 02 Issue 20: May 02 Issue 19: Mar 02 Issue 18: Jan 02 Issue 17: Nov 01 Issue 16: Sep 01 Issue 15: Jun 01 Issue 14: Mar 01 Issue 13: Jan 01 Issue 12: Sep 00 Issue 11: Jun 00 Issue 10: Jan 00 Issue 9: Sep 99 Issue 8: May 99 Issue 7: Jan 99 Issue 6: Sep 98 Issue 5: May 98 Issue 4: Jan 98 Issue 3: Sep 97 Issue 2: May 97 Issue 1: Jan 97 The life and numbers of Fibonacci by R.Knott, D.A.Quinney and PASS Maths If X N appears as XN then your browser does not support subscripts or superscripts. Please use this alternative version MCMXCVII The Roman numerals were not displaced until the 13th Century AD when Fibonacci published his Liber abaci which means "The Book of Calculations". Leonardo Fibonacci c1175-1250. Fibonacci, or more correctly Leonardo da Pisa, was born in Pisa in 1175AD. He was the son of a Pisan merchant who also served as a customs officer in North Africa. He travelled widely in Barbary (Algeria) and was later sent on business trips to Egypt, Syria, Greece, Sicily and Provence. In 1200 he returned to Pisa and used the knowledge he had gained on his travels to write Liber abaci in which he introduced the Latin-speaking world to the decimal number system. The first chapter of Part 1 begins:

63. LEONARDO DE PISA "FIBONACCI" Translate this page leonardo de Pisa, mejor conocido por su apodo fibonacci (que significa hijode Bonacci) nació en la ciudad italiana de Pisa y vivió de 1170 a 1250. http://redescolar.ilce.edu.mx/redescolar/act_permanentes/mate/mate4k.htm

EONARDO DE PISA "FIBONACCI" L eonardo de Pisa, mejor conocido por su apodo Fibonacci (que significa hijo de Bonacci) nació en la ciudad italiana de Pisa y vivió de 1170 a 1250. S e hacía llamar a sí mismo "Bigollo" que quiere decir "bueno para nada". E ra hijo de Guilielmo Bonacci quien trabajaba como representante de la casa comercial italiana más importante de la época, en el norte de África. E s en medio de esta actividad comercial que Leonardo de Pisa comienza a formarse como mercader y matemático en la ciudad de Bugia, hoy Bejaia un puerto al noreste de Argelia. Se conoce muy poco sobre su vida; sin embargo, en el prefacio de uno de sus libros más importantes, el Liber Abaci, Leonardo comenta que fue su padre quien le enseñó Aritmética y lo animó a estudiar matemáticas. En Bugia Leonardo recibió este tipo de enseñanza de maestros árabes, lo cual era, sin duda, lo mejor que podía sucederle a un joven medieval italiano que quisiera saber matemáticas. S e convirtió en un especialista en Aritmética y en los distintos sistemas de numeración que se usaban entonces. Muy pronto se convenció de que el sistema hindo-arábigo era superior a cualquiera de los que se usaban en los distintos países que había visitado. Decidió llevar este sistema a Italia y a toda Europa de ser posible, en donde aún se usaban los numerales romanos y el ábaco. El estudio de las matemáticas y de formas más prácticas de aplicarlas como un instrumento indispensable para el desarrollo del comercio le ocuparon prácticamente toda la vida.

64. Leonardo Fibonacci Translate this page leonardo fibonacci, llamado leonardo Pisano (1175 - 1240). Pisa hacia1175 - Pisa hacia 1240. El matemático italiano leonardo de http://es.geocities.com/fisicas/cientificos/matematicos/fibonacci.htm

Leonardo Fibonacci, llamado Leonardo Pisano (1175 - 1240) Pisa hacia 1175 - Pisa hacia 1240. Con su obra Liber abacci Liber abaci Practicae geometricae http://es.geocities.com/fisicas Los autores: e fisicas@yahoo.es

65. Fibonacci,Leonardo F For . fibonacci, leonardo (11701250). He was the most outstandingMathematician of Middle Ages born in Pisa, Italy. He played http://www.moe.edu.sg/schools/siling/onlineqns/Maths/Project/fibonacc.htm

66. Matematyka - ¿yciorys Leonarda Fibonacciego Gimnazjum. Zawodówka. Technikum. Liceum. Studia. Skonczylem. wyniki. leonardofibonacci (1170 1240) Byl nim Pizanczyk - leonardo fibonacci (1170-1240). http://matma.prx.pl/biografie/fibonacci.php

Biografie Algebra Geometria Liczby ... Zadania Jak czêsto odwiedzasz matma.prx.pl? codziennie raz na 3 dni raz w tygodniu raz w miesi±cu jestem tu pierwszy raz wyniki LEONARDO FIBONACCI

67. ILT Exercises - The Golden Section fibonacci, leonardo. Sources 1. fibonacci, leonardo, Microsoft® Encarta® OnlineEncyclopedia 2000 http//encarta.msn.com © 19972000 Microsoft Corporation. http://stuweb.iwightc.ac.uk/lrc/rbl_ilt/Examples/Golden_Section.htm

68. Leonardo Pisano (Fibonacci) leonardo Pisano (fibonacci) 11701250 leonardo Pisano is better knownby his nickname fibonacci. He was born in Italy but was educated http://www.stetson.edu/~efriedma/periodictable/html/F.html

Leonardo Pisano (Fibonacci) Leonardo Pisano is better known by his nickname Fibonacci. He was born in Italy but was educated in North Africa where his father held a diplomatic post. Fibonacci was taught mathematics in Bugia and travelled widely with his father, recognising the enormous advantages of the mathematical systems used in the countries they visited. Fibonacci ended his travels around the year 1200 and at that time he returned to Pisa. There he wrote a number of important texts which played an important role in reviving ancient mathematical skills and he made significant contributions of his own. Of his books we still have copies of Liber abbaci Practica geometriae Flos (1225), and Liber quadratorum Even at a time when Europe was little interested in scholarship, there was widespread interest in Fibonacci's work. Fibonacci was a contemporary of Jordanus, but he was a far more sophisticated mathematician and his achievements were clearly recognised, although it was the practical applications rather than the abstract theorems that made him famous to his contemporaries. Liber abbaci was based on the arithmetic and algebra that Fibonacci had accumulated during his travels. The book, which went on to be widely copied and imitated, introduced the Hindu-Arabic place-valued decimal system and the use of Arabic numerals into Europe. Indeed, although mainly a book about the use of Arab numerals, which became known as algorism, simultaneous linear equations are also studied in this work. The second section of

69. Wissen Unserer Zeit Translate this page Berühmte Personen fibonacci, leonardo von Pisa. fibonacci, leonardovon Pisa leonardo von Pisa wurde zwischen 1170 und 1180 geboren. http://www.wissen-unserer-zeit.de/themen/biograf/php/fibonaccileo.php

Berühmte Personen Fibonacci, Leonardo von Pisa Fibonacci, Leonardo von Pisa Leonardo von Pisa wurde zwischen 1170 und 1180 geboren. Bekannt wurde er unter dem Namen Fibonacci, was eine Verkürzung von "Filius Bonacci", also "Sohn des Bonacci" ist. Er lernte auf Handelsreisen nach Algerien, Ägypten, Syrien, Griechenland, Sizilien und in die Provence alle damals bekannten Rechenverfahren kennen. Sein 1202 erschienenes, 459 Seiten starkes Werk Liber Abaci machte in Europa die indische Rechenkunst bekannt und führte die heute übliche arabische Schreibweise der Zahlen ein. Ebenso wie sein Geburtsjahr ist auch sein Todesjahr nicht exakt bekannt. Die letzte Nachricht über ihn ist ein Dekret aus dem Jahr 1240, in dem ihm die Republik Pisa ein jährliches Gehalt aussetzte ...

70. VEDA HLAVNÍ STRÁNKA, 1.6. MATEMATIKOVÉ V HISTORII leonardo Pisano fibonacciJirí Svršek Seriál leonardo Pisano fibonacci. narozen http://pes.eunet.cz/veda/clanky/12978_0_0_0.html

NEVIDITELNÝ PES EUROPE'S ZVÍØETNÍK BYDLENÍ ... ENCYKLOPEDIE Pátek 1.6.2001 Svátek má Laura Biologie a pøíroda Vesmír Fyzika Medicína ... Archiv vydání Nadpis Autor Text èlánku Alena Marešová Neviditelný pes již pøed èasem uveøejnil dotazník paní doktorky Marešové z Institutu pro kriminologii a sociální prevenci v Praze, týkající se extremismu. Nyní vás znovu prosí o pomoc. Institut pro kriminologii a sociální prevenci se t.è. zabývá trestnou èinností policistù - jejími pøíèinami, nezbytnými podmínkami její existence a možnostmi její redukce. Dílèím úkolem je zjištìní, jak v souèasnosti policii a policisty vnímá veøejnost a odborná veøejnost. Ze zkušených pracovníkù justice a policie byl vytvoøen soubor expertù, jejichž názory budou zpracovány a interpretovány zvl᚝ .Vzhledem k vynikajícím zkušenostem ze sbìru názorù prostøednictvím dotazníkù pøedložených internetové èásti veøejnosti, také v tomto pøípadì jsem zpracovala krátký dotazník a prosím uživatele internetu o jeho vyplnìní. Pro zájemce uvádím program 43. semináøe Spoleènosti pro talent a nadání - ECHA:

71. VEDA 1.6. MATEMATIKOVÉ V HISTORII leonardo Pisano fibonacci Jirí SvršekSeriál Matematikové 30. . leonardo Pisano fibonacci. narozen http://pes.eunet.cz/veda/clanky/12978_48_0_0.html

NEVIDITELNÝ PES EUROPE'S ZVÍØETNÍK BYDLENÍ ... ENCYKLOPEDIE Pátek 1.6.2001 Svátek má Laura Biologie a pøíroda Vesmír Fyzika Medicína ... Archiv vydání Nadpis Autor Text èlánku Alena Marešová Neviditelný pes již pøed èasem uveøejnil dotazník paní doktorky Marešové z Institutu pro kriminologii a sociální prevenci v Praze, týkající se extremismu. Nyní vás znovu prosí o pomoc. Institut pro kriminologii a sociální prevenci se t.è. zabývá trestnou èinností policistù - jejími pøíèinami, nezbytnými podmínkami její existence a možnostmi její redukce. Dílèím úkolem je zjištìní, jak v souèasnosti policii a policisty vnímá veøejnost a odborná veøejnost. Ze zkušených pracovníkù justice a policie byl vytvoøen soubor expertù, jejichž názory budou zpracovány a interpretovány zvl᚝ .Vzhledem k vynikajícím zkušenostem ze sbìru názorù prostøednictvím dotazníkù pøedložených internetové èásti veøejnosti, také v tomto pøípadì jsem zpracovala krátký dotazník a prosím uživatele internetu o jeho vyplnìní. Pro zájemce uvádím program 43. semináøe Spoleènosti pro talent a nadání - ECHA:

72. ITC Leonardo Fibonacci Follonica (Gr) - Italy leonardo fibonacci 58022 Follonica (Gr) Italy. http://www.ouverture.it/maremma/scuole/itcfibo.htm

"Istituto Tecnico Commerciale Statale" "L. FIBONACCI" Follonica (Gr) - Italy La prima scuola della Maremma nel Web volte Questa è una pagina creata da studenti e insegnanti dell'Istituto Tecnico Commerciale di Follonica. Tutti i visitatori sono i benvenuti Istituto Tecnico Commerciale Statale "Leonardo Fibonacci" 58022 Follonica (Gr) Italy DOVE SI TROVA LA NOSTRA SCUOLA Come i ragazzi vedono la loro città LA SCUOLA Saluto del Preside ... Per mandarci le vostra osservazioni Dove si trova la nostra scuola Il territorio del comune di Follonica occupa la maggior parte dell'arco dell'omonimo golfo, diviso tra le province di Grosseto e Livorno. La fascia costiera, contesa tra terra e mare, ha permesso su un ristretto lembo pianeggiante lo sviluppo di linee di comunicazione che, dai più lontani ricordi storici al culmine della fortuna del settore secondario, negli anni sessanta e settanta, ha rappresentato uno dei principali assi della rete di comunicazioni terrestri a scala nazionale. Tale localizzazione ha decretato un rapido e intenso sviluppo della città di Follonica, già sede delle fonderie ILVA, che hanno trovato negli anni 60 più redditizio spostarsi verso la provincia di Livorno. La struttura territoriale del comprensorio follonichese è passata così da vecchi equilibri a nuove strutture che debbono rapidamente adeguarsi ad un diverso genere di vita.

73. PORCELAINia/Series/Leonardo Da Vinci/820 This piece is named for leonardo Pisano fibonacci (1175 1250), the great Italianmathematician best remembered for the fibonacci sequence, the mathematical http://www.porcelainia.com/820.html

PORCELAINia HOME PROCESS SERIES STYLE ... Site Map "Fibonacci" LEONARDO Da VINCI SERIES Height 5.2 in Mass 1047 g Fired High Glaze None Started Finished Style Geometrica Series Leonardo da Vinci This piece is named for Leonardo Pisano Fibonacci (1175 - 1250), the great Italian mathematician best remembered for the Fibonacci sequence, the mathematical sequence of the Golden Mean. Fibonacci (Leonard of Pisa) played an important role in reviving ancient mathematics and made significant contributions of his own. Fibonacci's other book of major importance, "Practica Geometriae" in 1220 contains a large collection of geometry and trigonometry.

74. Encyclopædia Britannica fibonacci number (math.), leonardo Pisano fibonacci University of St Andrews Biographyof fibonacci, or leonardo of Pisa. http://search.britannica.com/search?query=fibonacci

75. Biografie - Leonardo Fibonacci Translate this page leonardo fibonacci Pisa 1170ca. - Pisa 1240ca. Ancora fanciullo seguìil padre Guglielmo dei Bonacci, facoltoso mercante pisano http://galileo.imss.firenze.it/milleanni/cronologia/biografie/fiboncc.html

Leonardo Fibonacci Pisa 1170ca. - Pisa 1240ca. publicus scriba pro pisanis mercatoribus Liber abaci e la Practica geometriae (con l'applicazione dell'algebra alla soluzione di problemi geometrici); il Liber quadratorum ; l 'Epistola ad magistrum Theodorum e il Flos super solutionibus quorundam questionum ad numerosum vel ad geometriam vel ad utrumque pertinentium dedicata a Raniero Capacci, cardinal diacono. Indietro Indice Biografie Inizio

76. CyberSpace Search! SEARCH THE WEB. Results 1 through 2 of 2 for leonardo fibonacci. http://www.cyberspace.com/cgi-bin/cs_search.cgi?Terms=leonardo fibonacci

77. Leonardo Pisano Fibonacci Next Last Index Home Text, Slide 1 of 7. http://www.hsu.edu/faculty/worthf/mathematicians/Fibonacci/sld001.htm

78. Fibonacci fibonacci. fibonacci (leonardo),detto leonardo Pisano, matematico italiano (Pisa 1175 circa - 1240 circa). http://www.vialattea.net/esperti/mat/fibonacci/

Tempo fa mi è capitato di dover risolvere un problema che più o meno diceva "calcolare in quanti modi una persona può salire una gradinata di sedici scalini facendo passi o da uno o da due gradini alla volta. Il problema si poteva risolvere facilmente (senza analizzare caso per caso) utilizzando la serie di Fibonacci.(1,1,2,3,5,8,13,21.........) Chi era Fibonacci e a cosa serviva e serve la sua serie? (risponde Carlo Consoli Legenda [S] Livello Scuola Superiore [U] Livello Università Leonardo "Pisano" Fibonacci Fibonacci (Leonardo), detto Leonardo Pisano, matematico italiano (Pisa 1175 circa - 1240 circa). Dopo avere assimilato, durante numerosi viaggi, le conoscenze matematiche del mondo arabo, pubblicò intorno al 1202 la sua opera fondamentale, il Liber abaci , con cui si propose di diffondere nel mondo scientifico occidentale le regole di calcolo note agli Arabi, ovvero il sistema decimale ad oggi in uso in Europa. Nato in Italia e vissuto in Nord Africa, con i suoi numerosi viaggi a fianco del padre ha avuto occasione di riconoscere i vantaggi offerti dai sistemi matematici localmente in uso. Nel Liber Abaci ("Il Libro dell’Abaco"), in cui Fibonacci espone i fondamenti di algebra e matematica usati nei paesi Arabi, un problema fornisce l’occasione per l’introduzione della serie numerica che oggi porta il nome del matematico pisano e che si riscontra in numerosi esempi in natura. Tra questi, l’approssimazione del Rapporto Aureo.

79. Leonardo Fibonacci. Matematica E Società Nel Mediterraneo Del Secolo XIII Translate this page leonardo fibonacci. ore 16.30 Intervallo Agostino Paravicini Bagliani (Universitàdi Losanna) leonardo fibonacci e la Corte papale del XIII secolo. http://www.sismelfirenze.it/attivita/ita/fibonacci.htm

Comune di Pisa Università di Firenze Università di Pisa Il Giardino di Archimede – Un museo per la matematica Provincia di Pisa Micrologus – Natura, scienze e società medievali Regione Toscana Società Internazionale per lo Studio del Medioevo Latino Con il contributo della Camera di Commercio di Pisa Sotto l’Alto Patronato del Presidente della Repubblica e con il patrocinio dell’Unesco Leonardo Fibonacci. Matematica e società nel Mediterraneo del secolo XIII Convegno internazionale di studi: Pisa-Firenze, 20–23 novembre 2002 Programma Mercoledì 20 Novembre – Pisa Aula Magna Storica dell’Università – Palazzo “La Sapienza” via Curtatone e Montanara, 15 ore 10.00: Inaugurazione e saluti delle Autorità Franco Cardini (Università di Firenze) La Politica nel Mediterraneo ai tempi di Fibonacci. ore 12.00: Inaugurazione della mostra documentaria: Un Ponte sul Mediterraneo. Leonardo Pisano, la scienza araba e la rinascita della matematica in Occidente. (Chiesa di San Paolo all’orto) ore 15.00 Djamil Aïssani, (Università di Bejaïa) Mathématiques, Commerce et Société à Béjaïa (Bugia) au moment du séjour de Léonardo Fibonacci.

80. Jiskha Homework Help - Social Studies: People: Leonardo Fibonacci Homework Help Forum Homework Help Experts. leonardo fibonacci Chloe.leonardo fibonacci was born in Pisa, Italy around 1170, the http://www.jiskha.com/social_studies/people/l_fibonacci.html

SATURDAY March 29, 2003 SCHOOL SUBJECTS Art Computers English Foreign Languages ... Technology NEWSLETTER Subscribe to our homework help newsletter! FEATURES Contribute Forum Helpful Links Homework Tips ... Survey CONTRIBUTE Found out how you can submit your own essays to Jiskha Homework Help! Homework Help Forum Homework Help Experts Leonardo Fibonacci Chloe Leonardo Fibonacci was born in Pisa, Italy around 1170, the son of Guilielmo Bonacci, a secretary of the Republic of Pisa and responsible, beginning around 1192, for directing the Pisan trading colony in Bugia, Algeria. Some time after 1192, Bonacci brought his son with him to Bugia. The father intended for Leonardo to become a merchant and so arranged for his instruction in calculation related techniques, especially those involving the Hindu-Arabic numerals which had not yet been introduced into Europe. Eventually, Bonacci enlisted his son's help in carrying out business for the Pisan republic and sent him on trips to Egypt, Syria, Greece, Sicily, and Provence. Leonardo took the opportunity offered by his travel abroad to study and learn the mathematical techniques employed in these various regions. Around 1200, Fibonacci returned to Pisa where, for at least the next twenty-five years, he worked on his own mathematical compositions. The five works from this period which have come down to us are: the Liber abbaci (1202, 1228); the Practica geometriae (1220/1221); an undated letter to Theodorus, the imperial philosopher to the court of the Hohenstaufen emperor Frederick II; Flos (1225), a collection of solutions to problems posed in the presence of Frederick II; and the Liber quadratorum (1225), a number-theoretic book concerned with the simultaneous solution of equations quadratic in two or more variables. So great was Leonardo's reputation as a mathematician as a result of these works that Frederick summoned him for an audience when he was in Pisa around 1225.

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