Mathematical Principles and Quantitative Finance · 01. octobre 2024

Uniform continuity is a key concept in mathematical analysis that extends the standard idea of continuity by ensuring consistent behavior of functions across entire intervals. Introduced by Heinrich Heine in 1872 and rooted in earlier work by Dirichlet (1854), it plays a critical role in advanced mathematics and real-world applications. Pointwise Continuity: Focuses on local behavior at individual points. Uniform Continuity: Ensures predictability across an entire domain using