The proof resolves a nearly 80-year-old problem known as the Duffin-Schaeffer conjecture. In doing so, it provides a final answer to a question that has preoccupied mathematicians since ancient times: ...

Most people rarely deal with irrational numbers—it would be, well, irrational, as they run on forever, and representing them accurately requires an infinite amount of space. But irrational constants ...

The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

This is a preview. Log in through your library . Abstract Let x be a real irrational number and p n /q n , n = 0, 1, 2,... its sequence of continued fraction convergents. Define θ n = q n ǀq n x - p n ...

Originally defined as the ratio between the circumference of a circle and its diameter, pi — written as the Greek letter π — ...

Today is National and World Pi Day because the numbers of the day (3-14) match the first three digits for pi or , the Greek letter, 3.1415926535897… Although most people think that is relegated to ...

What if Pi Day, perhaps the best known mathematical holiday, was actually better celebrated in the summer? Currently falling on March 14 — 3/14, in honor of the first three digits of the infamous ...

Most people rarely deal with irrational numbers—it would be, well, irrational, as they run on forever, and representing them accurately requires an infinite amount of space. But irrational constants ...