Borwein

Borwein is a surname that has become associated in mathematics with two Canadian researchers, Jonathan M. Borwein and Peter Borwein, who were instrumental in the development of experimental mathematics. The Borwein brothers pursued work across analysis, numerical computation, and optimization, and their collaboration helped establish experimental mathematics as a recognized approach to exploring mathematical ideas through computation and experimentation, often before formal proofs. They authored numerous papers and books together and with other collaborators.

A notable line of work connected to the Borwein name is the Pólya–Borwein integrals, a family of definite integrals that exhibit surprising behavior and connect to Fourier analysis and numerical evaluation. The Borweins' contributions helped popularize methods that combine analytic reasoning with computer-assisted exploration, influencing fields such as numerical analysis and mathematical experimentation.

In broader usage, Borwein appears as a surname in academic literature primarily linked to these figures. The term "Borwein" is therefore most commonly encountered in discussions of experimental mathematics, numerical integration, and related analytic topics.