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: ...

Add Yahoo as a preferred source to see more of our stories on Google. Irrational numbers such as pi or the square root of 2 have always fascinated humankind. After all, they symbolize infinity better ...

Originally defined as the ratio between the circumference of a circle and its diameter, pi — written as the Greek letter π — appears throughout mathematics, including in areas that are completely ...

When my students grow too dependent on their calculators, I ask them to find a number that, when multiplied by itself, gives them 2. Students quickly see that since 1² = 1 and 2² = 4, the answer has ...

The ancient Greeks wondered when irrational numbers, like pi, can be represented with fractions. Two mathematicians now have a complete answer. The decimal expansion of pi goes on forever. But an ...

Irrational numbers such as pi or the square root of 2 have always fascinated humankind. After all, they symbolize infinity better than anything else: their sequence of digits after the decimal point ...