Jonathan Michael Borwein ( born May 20, 1951 in St. Andrews, Scotland ) is a Canadian mathematician. He belongs with his brother Peter Borwein and David Bailey to the most distinguished representatives of experimental mathematics, that is, of finding new sets by computer- algebraic and numerical calculations.
Borwein studied as a Rhodes Scholar at Jesus College, Oxford, where he received his doctorate in 1974. After that, he was from 1974 to 1991 at Dalhousie University, apart from the period 1980 to 1982 at Carnegie Mellon University from 1991 to 1993 at the University of Waterloo and since 1993 professor at Simon Fraser University. He is a founding director of the Centre for Experimental and Constructive Mathematics.
In 1993 he received the Chauvenet Prize. In 1994 he became a Fellow of the Royal Society of Canada. He is a member of the American Academy of Arts and Sciences and the Bulgarian Academy of Sciences. He became an honorary doctorate in Limoges in 1999. 2000 to 2002 he was President of the Canadian Mathematical Society. He is the Council of the Mathematical Association of America ( MAA).
In 1995 he co-founded a software company for interactive software for teaching mathematics in schools and universities.
- With John Lennart Berggren, Peter Borwein: Pi - a sourcebook. Springer, New York 1997, 3rd edition 2004, ISBN 0-387-20571-3.
- Convex analysis and nonlinear optimization. Springer, New York, 2nd edition 2006, ISBN 0-387-29570-4.
- Experimental mathematics in action. A.K.Peters 2007.
- Techniques of Variational Analysis. Springer, New York 2005, ISBN 0-387-24298-8.
- With Bailey: Mathematics by experiment: Plausible Reasoning in the 21.Century. Peters, Natick 2003, 2nd edition 2008, ISBN 978-1-568-81442-1.
- With Bailey: Experimentation in Mathematics: Computational Paths to Discovery. Peters, Natick 2003, ISBN 1-56881-136-5.
- With Peter Borwein: A Dictionary of Real Numbers. First, in 1990, International Thompson Publishing, ISBN 0-534-12840-8.
- With E.Borowski: Dictionary of Mathematics. First, in 1989, Unwin Hyman 2002, ISBN 0-00-434347-6.
- With Peter Borwein: Pi and the AGM - a study of analytic number theory and computational complexity. Wiley, New York, 1987, ISBN 0-471-83138-7.