Carl Gottfried Neumann was born in Königsberg, Prussia, in 1832 and died in Leipzig in 1925. His father was the physicist Franz Neumann (1798–1895), notable for his contributions not only to the study of electricity and magnetism but also to the development of physics education in nineteenth-century Germany. Carl Neumann studied at the University of Königsberg and received his doctorate in 1855 with a work on the application of elliptic integrals to mechanics (Neumann 1856). In 1858 he became Privatdozent, and in 1863 Professor of Mathematics at Halle. Later that same year he moved to Basel, and in 1865 he became Ordinary Professor of Mathematics at Tübingen. Finally in 1868 he was appointed Professor of Mathematics at Leipzig, a post he held until he retired in 1911; of the two mathematics professorships at Leipzig, this was the one formerly held by F. A. Möbius, and it was officially devoted to “the higher mathematics, especially physics” (quoted in Jungnickel and McCormmach 1986, 1:181). So Neumann's academic career, along with his role as one of the founding editors of the Mathematische Annalen beginning in 1869, can be seen as reflecting the enormous advance in mathematical sophistication that German physics underwent in the latter part of the nineteenth century.