history of mathematics




For the moment, we list here only a few works in the history of mathematics: some with a focus on fields particularly emphasised in the nLab, and some general. Wikipedia has a nice list of general works.

Spaces, categories, topology, sheaves, topoi, cohomology, …

  • Mathieu Bélanger. Grothendieck et les topos : rupture et continuité dans les modes d’analyse du concept d’espace topologique, thesis, Université de Montréal 2010 pdf
  • Pierre Cartier, A mad day’s work: from Grothendieck to Connes and Kontsevich The evolution of concepts of space and symmetry, Bull. Amer. Math. Soc. 38 (2001), 389-408, pdf
  • Ralf Krömer, Tool and object: A history and philosophy of category theory, Birkhäuser 2007
  • John Bell, The development of categorical logic (pdf)
  • Jean-Pierre Marquis, Gonzalo E. Reyes, The history of categorical logic 1963–1977, 111 pp. pdf

General history of mathematics

  • C. B. Boyer, A history of mathematics, 2nd ed. rev. by Uta C. Merzbach. New York: Wiley, 1989
  • Felix Klein, The development of mathematics in 19th century
  • Julian Lowell Coolidge, A history of geometrical methods, 1940, Dover Phoenix Editions, Oxford University Press 1940.
  • J. Gray, The real and the complex: a history of analysis in the 19th century, Springer Undergraduate Mathematics Series
  • Dirk Jan Struik, A concise history of mathematics
  • Umberto Bottazzini, Il flauto di Hilbert: Storia della matematica, UTET Università, 473pp.; The higher calculus: A history of real and complex analysis from Euler to Weierstrass, Springer 1986

Wiki, collection and encyclopaedia articles

Researchers and institutes for history of mathematics

  • hsm at Jussieu

nnLab entries with historical information

Other literature

  • G.A. Miller, Felix Klein and the history of modern mathematics, PNAS 13, 1927, 611-613

The relation of the techniques of the pioneers of infinitesimal calculus and the modern nonstandard analysis is discussed in

  • Piotr Blaszczyk, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, David Sherry, Toward a history of mathematics focused on procedures, arxiv/1609.04531

A collection of articles on XX-century mathematics is in

Last revised on February 20, 2021 at 16:37:59. See the history of this page for a list of all contributions to it.