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Resumen:
En este artículo se hará una breve introducción al tema de las
fracciones continuas. Como parte de sus aplicaciones, en primer lugar se
muestra su utilidad para determinar la solución de una ecuación
diofántica; en segundo, para obtener algunos criterios de divisibilidad;
finalmente, se hace una breve explicación de cómo fueron utilizadas a la
hora de corregir el calendario para obtener el que hoy se conoce como
calendario gregoriano.
Palabras clave:
Fracciones continuas, ecuación diofántica, divisibilidad, calendarios.
Abstract:
This article presents a brief introduction to the subject of continued
fractions. As part of their applications it is shown its utility for
determining the solution of a diophantine equation and also, its use to
obtain some divisibility criteria. Finally, we will to give a brief
explanation about of how they were used on the correction of the
calendar, until to get the current one, which it is known as the
Gregorian calendar. Finally, a brief explanation is made on how they
were used to correct the calendar in order to have what is known
today as the gregorian calendar.
KeyWords:
Continued fractions, diophantine equation, divisibility, calendars.
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