Ir al contenido

Documat


Pythagorean approximations and continued fractions

    1. [1] Universidad Autónoma de Madrid

      Universidad Autónoma de Madrid

      Madrid, España

  • Localización: Teaching mathematics and its applications, ISSN 0268-3679, Vol. 27, Nº. 4, 2008, págs. 200-209
  • Idioma: inglés
  • DOI: 10.1093/teamat/hrn009
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • In this article, we will show that the Pythagorean approximations of 2–√2 coincide with those achieved in the 16th century by means of continued fractions. Assuming this fact and the known relation that connects the Fibonacci sequence with the golden section, we shall establish a procedure to obtain sequences of rational numbers converging to different algebraic irrationals. We will see how approximations to some irrational numbers, using known facts from the history of mathematics, may perhaps help to acquire a better comprehension of the real numbers and their properties at further mathematics level.


Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno