Dimitris Koukoulopoulos: Rational Approximations of Irrational Numbers

Explore the fascinating world of rational approximations of irrational numbers in this 46-minute lecture by Dimitris Koukoulopoulos, presented by the International Mathematical Union. Delve into the intricate relationships between rational and irrational numbers, uncovering techniques for approximating irrational values using rational expressions. Gain insights into the mathematical principles underlying these approximations and their applications in various fields of mathematics. Discover the historical context and modern developments in this area of number theory, enhancing your understanding of the fundamental nature of numbers and their representations.