Volume 41
, Issue 1

2005

The first issue of Parabola appeared in July 1964.

One of the most significant advances in the entire history of mathematics was the development of Calculus in the latter years of the 17th Century.

Fermat’s Last Theorem is one of the most famous problems in mathematics. Its origin can be traced back to the work of the Greek mathematician Diophantus

Trigonometry, as it is taught in high school using the trigonometric ratios, has an interesting history.

In a recent article in Parabola (Vol.37, No.3, 2001, 13–16), Anard Kumar proved that the dynamical system defined by summing the squares of the digits of a positive integer repeatedly leads to a fixed point solution.

Q1171. The first digit of a $6$-digit number is $1$. If the $1$ is shifted to the other end, the new number is $3$ times the original number. Find this number.

Q1161. Find all values of $x$ (real number) satisfying

$$\frac{x-1}{2004} + \frac{x-3}{2002} + \frac{x-5}{2000} + \cdots + \frac{x-2003}{2} = \cdots$$