Constance Reid's wonderful biography "Hilbert" [New York: Springer-Verlay, 1983; ISBN: 0-387-04999-1] describes a lot of the history of mathematics in Göttingen

Constance Reid's wonderful biography "Hilbert" [New York: Springer-Verlay, 1983; ISBN: 0-387-04999-1] describes a lot of the history of mathematics in Göttingen. It may be the finest mathematical biography I've ever read. Hermann Weyl wrote an article on Hilbert's mathematical work (from the Bulletin of the American Mathematical Society [pdf]): https://www.ams.org/journals/bull/1944-50-09/S0002-9904-1944-08178-0/S0002-9904-1944-08178-0.pdf https://www.ams.org/journals/bull/1944-50-09/S0002-9904-1944... Hilbert's mathematical range was enormous. Among many things, he was known for his 23 "Hilbert problems" which influenced a lot of subsequent mathematics: Benjamin Yandell, "The Honors Class - Hilbert's Problems and Their Solvers". Natick, MA: A. K. Peters, 2002. [ISBN:1-56881-141-1] There's been significant progress on some of the problems since Yandell's book, but it's still a good introduction.