Results 81 to 90 of about 5,138 (192)

Fibonacci's Liber Abbaci and "the origin of things" of Maria Montessori

Rivista di Storia dell'Educazione
This article discusses some aspects of the arithmetic of Fibonacci's Liber Abbaci and the related pedagogical idea of the Pisan mathematician, described in the Prologue of the work and which can be seen from reading the text.
Silvia Cerasaro, Benedetto Scoppola, Laura Tomassi   +2 more
doaj   +1 more source

Sobre o modelo de Fibonacci na variável complexa: identidades generalizadas

CQD Revista Eletrônica Paulista de Matemática, 2017
A sequência emblemática relacionada com o problema da reprodução de pares de coelhos, propugnado por Leonardo Pisano, em 1202, se tornou, passados alguns séculos, o objeto de estudo e pesquisa em determinados ramos particulares da Matemática, sobretudo ...
Francisco Regis Vieira Alves, Rannyelly Rodrigues de Oliveira   +1 more
doaj  

Insegnar l’abaco ai granchi. Contare le monete, misurare i valori

Studi di Storia Medioevale e di Diplomatica: Nuova Serie
Il contributo esamina il rapporto tra matematica e monete nel Medioevo a partire dal primo libro d'abaco di Leonardo Fibonacci (1202) seguito da altri testi in volgare fino alla fine del XV secolo.
Lucia Travaini
doaj   +1 more source

Algorithms for representing positive odd integers as the sum of arithmetic progressions [PDF]

Notes on Number Theory and Discrete Mathematics
This paper delves into the historical and recent developments in this area of mathematical inquiry, tracing the evolution from Wheatstone's representation of powers of an integer as sums of arithmetic progressions to extensions of Sylvester's Theorem ...
Peter J.-S. Shiue, Anthony G. Shannon, Shen C. Huang, Michael R. Schwob, Rama Venkat   +4 more
doaj   +1 more source

A Systematic Review of Fibonacci Sequence in the Human Abdominal Wall: Facts and Reality. [PDF]

Cureus, 2022
Ravindra C, Rengan V, B R.
europepmc   +1 more source

Some infinite series summations involving linear recurrence relations of order 2 and 3 [PDF]

Notes on Number Theory and Discrete Mathematics
This paper extends known results of second and third order recursive sequences through extensive formulations of properties of the roots of their characteristic equations, some are old but most are new. They are applied to novel studies of Σₙ₌ₒ^∞ aₘₙ/10ⁿ⁺
Anthony G. Shannon, Peter J.-S. Shiue, Shen C. Huang, Ali Balooch, Yu-Chung Liu   +4 more
doaj   +1 more source

Leonardo Bigolli Pisani vulgo Fibonacci, Liber Abbaci [PDF]

Médiévales, 2022
openaire   +2 more sources

On the lexicographic representation of numbers

, 2015
It is proven that, contrarily to the common belief, the notion of zero is not necessary for having positional representations of numbers. Namely, for any positive integer $k$, a positional representation with the symbols for $1, 2, \ldots, k$ is given ...
Manca, Vincenzo
core  

Tri–Periodic Fibonacci Numbers and Tri–Periodic Leonardo Numbers

In this study, we explore the properties of tri-periodic Fibonacci and tri-periodic Leonardo number sequences. Then we derive generating function of these sequences and give Binet's formula for the tri-periodic Fibonacci sequence. Furthermore, we present Cassani's identity associated with tri-periodic Fibonacci sequnce.
Bahadır Yılmaz, Yüksel Soykan
openaire   +1 more source

A Note on the Fuzzy Leonardo Numbers

Transactions on Fuzzy Sets and Systems
In this work, we define a new sequence denominated by fuzzy Leonardo numbers. Some algebraic properties of this new sequence are studied and several identities are established.
Elen Viviani Pereira Spreafico, Eudes Antonio Costa, Paula Maria Machado Cruz Catarino   +2 more
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