Johann Peter Gustav Lejeune Dirichlet

Abstract—The idea of Riemann integration is now popular and very helpful in mathematics. In this paper we explore the background of mathematicians Henri Lebesgue, Peter Gustav Lejeune-Dirichlet and Bernhard Riemann. We discover some of their contributions to mathematics and how they all contributed to this famous concept of Riemann integration. Index Terms— Bernhard Riemann, Henri Lebesgue, Peter Gustav Lejeune-Dirichlet, Riemann integration I. INTRODUCTION Even though the idea of calculus was already in the air, the clear definition of it or its concepts could still be improved. One of these important concepts was that of integration. Riemann integration came to be thanks to the contributions of many throughout time. Even though its name…