Augustus Stieltjes

Augustus Stieltjes was a French mathematician known for his contributions to analysis and number theory in the 19th century. He is particularly recognized for developing Stieltjes integrals, which extend the concept of integration to incorporate functions that may not be smooth. This concept has important applications in mathematics, physics, and engineering. Stieltjes also worked on series, continued fractions, and the theory of real numbers. His work laid foundational ideas that have influenced various fields, including statistics and probability. Despite limited recognition during his lifetime, his contributions offer significant insights in modern mathematical frameworks.