MacTutor History of Mathematics

MacTutor History of Mathematics
Name	MacTutor History of Mathematics
Type	Online archive
Owner	University of St Andrews
Author	John J. O'Connor and Edmund F. Robertson
Launched	1994

MacTutor History of Mathematics is an online biographical and historical resource founded and maintained by mathematicians at the University of St Andrews. It provides extensive biographies, timelines, articles, and bibliographies that document the lives and works of mathematicians and the development of mathematical ideas. The site is widely used by scholars, educators, and students and is frequently cited in curricula, exhibitions, and scholarly works.

History and Development

The project began in the early 1990s under the initiative of John J. O'Connor and Edmund F. Robertson at the University of St Andrews, emerging alongside initiatives such as the Internet Archive and the rise of web-based scholarly resources. Early influences included printed biographical compendia like Dictionary of National Biography, Biographical Dictionary of Mathematicians, and reference projects at institutions such as the Royal Society and the British Library. Expansion occurred through contributions from researchers across institutions including University of Cambridge, University of Oxford, Princeton University, Harvard University, and ETH Zurich. The archive grew during the era of digitization alongside projects like Project Gutenberg and collaborations with museums and libraries including the National Library of Scotland and the Science Museum.

Content and Features

The site hosts a comprehensive set of resources: individual biographies, historical surveys, curated bibliographies, chronological timelines, and portrait galleries. Biographies cover figures such as Euclid, Archimedes, Isaac Newton, Gottfried Wilhelm Leibniz, Leonhard Euler, Carl Friedrich Gauss, Bernhard Riemann, Srinivasa Ramanujan, Évariste Galois, Niels Henrik Abel, Joseph-Louis Lagrange, Pierre-Simon Laplace, Henri Poincaré, David Hilbert, Emmy Noether, Alan Turing, John von Neumann, Kurt Gödel, Ada Lovelace, Augustin-Louis Cauchy, Georg Cantor, Paul Erdős, André Weil, Sofia Kovalevskaya, Mary Cartwright, Jacques Hadamard, Élie Cartan, Felix Klein, Hermann Weyl, Harish-Chandra, Jean-Pierre Serre, Alexander Grothendieck, Michael Atiyah, Roger Penrose, Stephen Hawking, C. F. Gauss and modern contributors like Terence Tao, Andrew Wiles, Grigori Perelman, Vladimir Arnold, Shing-Tung Yau, Enrico Bombieri, Barry Mazur, Cédric Villani, Manjul Bhargava, Karen Uhlenbeck, Maryam Mirzakhani, Timothy Gowers, William Thurston, Charles Babbage, George Boole, Blaise Pascal, John Nash, Sophie Germain, Émile Borel, Paul Dirac, Hermann Minkowski, J. J. Sylvester, Arthur Cayley, James Clerk Maxwell, Antoine-Laurent Lavoisier, Niels Bohr, Erwin Schrödinger, Louis de Broglie, Andrey Kolmogorov, Aleksandr Lyapunov, Richard Feynman, Ludwig Wittgenstein, Henri Lebesgue, Otto Wien, E. T. Bell. The site’s features include searchable indexes, lists of awards such as the Fields Medal, Abel Prize, Turing Award, and Nobel Prize cross-referenced with laureates, as well as timelines that situate mathematicians within events like the Industrial Revolution, the French Revolution, the World War I, and the World War II.

Biographical Archive

Biographies combine archival sources, published works, correspondence, and portraits from collections including the Royal Society of Edinburgh, the Bodleian Library, the Cambridge University Library, and the Library of Congress. Entries vary from early figures such as Hypatia and Diophantus to modern scholars like Paul Cohen, Julia Robinson, Richard Taylor, Nicholas Katz, Barry Simon, Isadore Singer, Marston Morse, Wolfgang Pauli, Niels Henrik Abel, Hermann Grassmann, S. R. Srinivasa Varadhan, John Milnor, Raoul Bott, Shlomo Sternberg, Alexander Ostrowski, Otto Toeplitz, Lipman Bers, and Norbert Wiener. Cross-linking connects biographies to primary works such as Principia Mathematica, Disquisitiones Arithmeticae, Grundlagen der Geometrie, The Principia, and correspondence like letters between Évariste Galois and contemporaries. The archive documents institutional affiliations with entities such as Trinity College, Cambridge, University of Göttingen, Princeton University, École Normale Supérieure, and Imperial College London.

Educational and Research Impact

Educators at institutions including Massachusetts Institute of Technology, Stanford University, University of California, Berkeley, Yale University, Columbia University, and University of Chicago use the resource in courses on history of mathematics, mathematics outreach, and science communication. Researchers cite entries in journals such as Annals of Mathematics, Proceedings of the Royal Society, Journal of the American Mathematical Society, Isis (journal), and Historia Mathematica. The archive supports exhibitions at venues like the Science Museum, London and collaborates with conferences such as the International Congress of Mathematicians and meetings of the London Mathematical Society.

Funding, Management, and Collaboration

Originally supported by the founders' institutions and private donations, ongoing maintenance has involved grants and partnerships with bodies such as the Leverhulme Trust, the Royal Society, Engineering and Physical Sciences Research Council, and university funding from University of St Andrews. Editorial work is coordinated by a team including academics, librarians, and volunteers associated with organizations like the European Mathematical Society and the American Mathematical Society. Collaborative digitization projects have involved the National Archives (UK), the Smithsonian Institution, and university special collections.

Reception and Criticism

Scholars and educators frequently praise the site for its breadth and accessibility in publications and reviews in outlets such as Nature, The Guardian, and Times Higher Education. Critics note concerns about selection bias, coverage gaps for underrepresented groups such as women and mathematicians from non-Western regions, and the challenge of maintaining up-to-date scholarship in the face of new research published in venues like Mathematical Reviews, Zentralblatt MATH, and specialist monographs. Debates have appeared at forums hosted by societies like the History of Science Society and in panels at the International Congress of Mathematicians about digital scholarship standards and archival practices.

Category:Mathematics websites