What happens when things combine? This question lies at the heart of the Borell-Brascamp-Lieb inequality (BBL), a ...

What happens when things combine? This question lies at the heart of the Borell-Brascamp-Lieb inequality (BBL), a ...

Students are expected to have one of the recommended textbooks: N L Biggs, Discrete Mathematics (2nd edn) or P J Eccles, An Introduction to Mathematical Reasoning. Further background reading can be ...

Perhaps Wiles’ proof, with a few simplifications, is God’s proof for Fermat’s Last Theorem. But it’s not a proof for the readers of our book, because it’s just beyond the scope, both in ...

In his 1976 book, Proofs and Refutations, Lakatos presents a collection of case studies to illustrate methods of mathematical discovery in the history of mathematics. In this paper, we reframe these ...

In a recent paper (Weber & Mejia-Ramos, Educational Studies in Mathematics, 76, 329-344, 2011), we reported findings from two small-scale interview studies on the reasons why and the ways in which ...

The new work is an exciting proof of concept, though its actual contributions to mathematics are modest so far. “None of [the questions the model solved] were super-important conjectures,” said Wagner ...

As for producing full-fledged proofs — forget it. When it came to math, it seemed that AI would only continue to struggle. But this year, new models from Google DeepMind turned AI into a serious ...