John Stillwell
Professor
My interests are history of mathematics in the 19th and 20th
centuries, number theory, geometry, algebra, topology, foundations
of mathematics.
In Australia during Spring and Summer
Education
Ph. D. (MIT, 1970)
M. Sc. (University of Melbourne, 1965)
Research Areas
History of 19th and 20th century mathematics
Foundations of mathematics
Teaching
- Math 195, Mathematics & the Impossible
- Math 380, Foundations of Geometry
Publications
Classical Topology and
Combinatorial Group Theory (Springer 1980)
Mathematics and Its
History (Springer 1989)
Geometry of Surfaces
(Springer 1992)
Elements of Algebra
(Springer 1994)
Numbers and Geometry
(Springer 1998)
Elements of Number Theory
(Springer 2003)
The Four Pillars of
Geometry (Springer 2005)
Yearning for the
Impossible (A K Peters 2006)
Naive Lie Theory (Springer
2008)
Roads to Infinity (A K
Peters 2010)
Plus annotated translations of historic mathematical works,
including:
Papers on Fuchsian
Functions, by H. Poincaré (Springer, 1985)
Papers on Group Theory and
Topology, by M. Dehn (Springer, 1987)
Theory of Algebraic
Integers, by R. Dedekind (Cambridge University Press)
1996
Sources of Hyperbolic
Geometry, by Beltrami, Klein & Poincaré (AMS,
1996)
Lectures on Number Theory,
by P. G. L. Dirichlet (AMS, 1999)
Papers on Topology, by H.
Poincaré (AMS, 2010)
Theory of Algebraic Functions of
One Variable, by Dedekind & Weber (AMS, 2012)
