Mathematics
John  Stillwell

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)

Research Areas

History of 19th and 20th century mathematics
Foundations of mathematics

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)