Jonathan Borwein (20 May 1951 – 2 August 2016) was a Scottish-born mathematician known for championing experimental and computational methods in mathematical research. Over a long international career he combined deep theoretical work with the use of computation to suggest conjectures, test hypotheses and develop efficient algorithms. He published extensively across a range of areas, engaged in public discussion of mathematical topics, and held senior roles in several professional organizations. For a concise overview of his academic profile see his profile, and for a record of his publications consult a comprehensive publication list.
Career and institutional roles
Borwein spent much of his career working in North America and Australia while maintaining strong links to the United Kingdom. He served in leadership positions that shaped mathematical policy and outreach, including elected and appointed posts in professional societies and advisory bodies. Notable appointments included President of the Canadian Mathematical Society (2000–2002) and Governor-at-Large of the Mathematical Association of America (2004–2007). He chaired advisory committees for national science libraries and the Australian Mathematical Sciences Institute, and held academic chairs such as Laureate Professor of Mathematics at the University of Newcastle. At the time of his death he was also serving as Distinguished Scholar in Residence at Western University in London, Ontario.
Research focus and methods
Borwein is widely associated with the modern development of experimental mathematics, an approach that uses numerical computation to explore patterns, generate conjectures and guide rigorous proofs. He investigated algorithmic and analytic techniques for constants and special functions, and promoted the use of high-precision arithmetic to reveal subtle structure. His work includes the development and analysis of fast-converging algorithms for mathematical constants and contributions to numerical analysis, approximation theory and integer relations. He coauthored influential writings that explained how computation and rigorous proof can complement one another, including a well-known study of algorithms for π and the arithmetic–geometric mean.
Publications and public engagement
Borwein was a prolific author, with hundreds of journal articles and several books addressing both specialist and broader audiences. He wrote for general readers and policymakers as well as for researchers, contributing essays and opinion pieces to outlets that bring mathematics to the public. His columns and posts helped explain why computational experiments matter and how they can be responsibly integrated into mathematical practice; samples of his public commentary appear at his public writing.
Distinctions and legacy
- Published widely—he authored or coauthored hundreds of peer-reviewed papers across computational and theoretical topics.
- Held leadership roles in national and international mathematical organizations, influencing education and research priorities.
- Promoted experimental mathematics as both a research paradigm and a teaching tool, encouraging openness to computation while emphasizing rigorous justification.
Jonathan Borwein’s career combined technical achievement, institutional service and public advocacy. His work helped legitimize computational exploration in mainstream mathematics and inspired researchers and educators to integrate numerical experimentation with traditional analysis. Colleagues remember him for his energetic interdisciplinary collaborations and his commitment to communicating the value of mathematical thinking beyond specialist audiences.