Approximating Irrational Numbers - Duffin-Schaeffer Conjecture

Explore the fascinating world of irrational number approximation in this 21-minute Numberphile video featuring James Maynard, who recently co-authored a proof of the Duffin-Schaeffer Conjecture. Delve into the intricacies of this mathematical breakthrough, understanding its significance in number theory and its implications for approximating irrational numbers. Learn about the historical context of the conjecture, its challenges, and the innovative approaches used in the proof. Gain insights into the connections between this work and other areas of mathematics, while enjoying Numberphile's engaging presentation style. Discover how this advancement contributes to our understanding of number systems and opens up new avenues for mathematical research.