Results 11 to 20 of about 1,974 (119)

The Archimedean Origin of Modern Positional Number Systems

open access: yesAlgorithms, 2023
A symbolic analysis of Archimedes’s periodical number system is developed, from which a natural link emerges with the modern positional number systems with zero.
Vincenzo Manca
doaj   +1 more source

Julia and Mandelbrot Sets of Transcendental Function via Fibonacci‐Mann Iteration

open access: yesJournal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, utilizing the Fibonacci‐Mann iteration process, we explore Julia and Mandelbrot sets by establishing the escape criteria of a transcendental function, sin(zn) + az + c, n ≥ 2; here, z is a complex variable, and a and c are complex numbers.
Nihal Özgür   +3 more
wiley   +1 more source

A Pedagogical Legacy? Abacus Tradition and Surprising Connections. From the Liber Abaci (1202) to the economic education in Early Modern Period

open access: yesCuadernos Del CEMYR
The abacus tradition had a primary educational role between the late Middle Ages and the Early Modern Era. This practical pedagogy was addressed especially to the merchant and artisan classes. It developed especially in Italy through the presence of private teachers, whose didactics was based initially and primarily on Fibonacci’s works.
exaly   +3 more sources

The Life and Works of Luca Pacioli (1446/7–1517), Humanist Educator

open access: yesAbacus, Volume 57, Issue 1, Page 126-152, March 2021., 2021
Accounting has few heroes, but one that most acknowledge as worthy of that accolade is Luca Pacioli, the man who published the first printed exposition of double entry bookkeeping in 1494. This was the publication that led to the development of the accounting systems we use today. However, if we consider our literature on Pacioli, it is found to be not
Alan Sangster
wiley   +1 more source

SOBRE A DIVULGAÇÃO DO SISTEMA INDO-ARÁBICO NA EUROPA NO SÉCULO XIII

open access: yesBoletim Cearense de Educação e História da Matemática, 2020
Nesta comunicação apresentamos alguns pontos que nos permite de forma preliminar investigar sobre a divulgação dos algarismos indo-arábicos na Europa no século XIII, afinal, estes se constituem ao longo da história humana como um sistema universal. Com a
José dos Santos Guimarães Filho   +1 more
doaj   +1 more source

Nucleotide Frequencies in Human Genome and Fibonacci Numbers [PDF]

open access: yes, 2006
This work presents a mathematical model that establishes an interesting connection between nucleotide frequencies in human single-stranded DNA and the famous Fibonacci's numbers. The model relies on two assumptions.
A. Dress   +14 more
core   +2 more sources

Fibonacci’s Computation Methods vs Modern Algorithms

open access: yesReti Medievali Rivista, 2013
In this paper we discuss some computational procedures given by Leonardo Pisano Fibonacci in his famous Liber Abaci book, and we propose their translation into a modern language for computers (C ++).
Ernesto Burattini
doaj   +1 more source

Les sources des textes d’abaque italiens du XIVe siècle: les échos d’un débat en cours

open access: yesReti Medievali Rivista, 2013
The most common opinion among historians of mathematics is that Fibonacci’s Liber Abaci – or at least the first eleven chapters – was the precursor of the Italian textual tradition of the Abacus and, with respect to the origin of Abacus algebra in ...
Eva Caianiello
doaj   +1 more source

Why Delannoy numbers? [PDF]

open access: yes, 2004
This article is not a research paper, but a little note on the history of combinatorics: We present here a tentative short biography of Henri Delannoy, and a survey of his most notable works.
Aeppli   +70 more
core   +5 more sources

La Contabilità pratica prima di Luca Pacioli: Origine della Partita Doppia

open access: yesDe Computis, 2006
Se inicia el trabajo con una breve revisión de los principales factores que a comienzos del siglo XIII limitaban el desarrollo de los registros contables en Italia.
Carlo Antinori
doaj   +1 more source

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