Mathematical Principles and Quantitative Finance · 01. octobre 2024

In the study of mathematical analysis, continuity is a cornerstone concept that helps us understand the behavior of functions. While the standard notion of continuity is often sufficient for basic applications, there exists a stronger version known as uniform continuity. Heinrich Heine introduced the concept of uniform continuity in 1872 when he published a proof of the theorem now known as Heine's theorem for continuous functions on a segment. However, the idea and proof originally came from...