Geometry in the twentieth century: A return to Euclid -- The work of Herbert Busemann

Abstract

This is a point of view of the work of Herbert Busemann (1905-1994), seen as a return to the geometry of Ancient Greece. The importance of this work, its recognition and its relation with other works are discussed. The final version of this paper will appear in the Handbook of the History and Philosophy of Mathematical Practice, ed. Bharath Sriraman, Springer, 2024.