arXiv subjects

Adilson J. V. Brandao

Publications and source records attributed to Adilson J. V. Brandao.

2 recordsLinked to original sources

arXiv2008

A Mathematical Approach to the Plato's Problem

Maybe the first inverse problem presented in the history of the occidental thought is described in the book Republic, written by Plato. The problem is posed in the Book VII in a text known as the Allegory of the Cave. That text motivated us to formulate a simple mathematical model that simulates, in a sense, the situation of the persons described in that problem.

math.HO↗

arXiv2008

Recurrence Formulas for Fibonacci Sums

In this article we present a new recurrence formula for a finite sum involving the Fibonacci sequence. Furthermore, we state an algorithm to compute the sum of a power series related to Fibonacci series, without the use of term-by-term differentiation theorem

math.HO↗