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A Brief History of Mathematics is a BBC series of ten fifteen-minute podcasts by Professor Marcus du Sautoy about the history of mathematics from Newton and Leibniz to Nicolas Bourbaki, the pseudonym of a group of French 20th Century mathematicians. Among those covered by Professor du Sautoy are Euler, Fourier and Poincaré. The podcasts also include short interviews with people such as Brian Eno and Roger Penrose.

posted by Kattullus on Dec 1, 2010 - 11 comments

posted by Kattullus on Dec 1, 2010 - 11 comments

"That's why so many insights happen during warm showers."[pdf/html]

A~~print-only~~ print-mostly article in last week's New Yorker magazine fascinatingly describes the neurological processes behind human insight, with nods to Henri Poincaré's *omnibus eureka* ("Having reached Coutances, we entered an omnibus to go some place or other. At the moment when I put my foot on the step the idea came to me, without anything in my former thoughts seeming to have paved the way for it") and Archimedes' *bathtub eureka** ("Eureka!")

posted by jckll on Jul 30, 2008 - 33 comments

A

posted by jckll on Jul 30, 2008 - 33 comments

Grigory Perelman, awarded the Fields Medal for his work on the Poincare Conjecture, talks to the New Yorker.

posted by Gyan on Aug 29, 2006 - 17 comments

posted by Gyan on Aug 29, 2006 - 17 comments

Grisha Perelman, where are you? Perelman has quite possibly solved one of mathematics biggest mysteries, Poincaré’s conjecture, but has since disappeared.

posted by kliuless on Aug 15, 2006 - 32 comments

posted by kliuless on Aug 15, 2006 - 32 comments

The Shapes of Space [note : *pdf, sciam, poincaré conjecture*]

posted by kliuless on Aug 1, 2004 - 4 comments

posted by kliuless on Aug 1, 2004 - 4 comments

'The Poincare Conjecture' Solved? "Dr Grigori Perelman, of the Steklov Institute of Mathematics of the Russian Academy of Sciences, St Petersburg, claims to have proved the Poincare Conjecture, one of the most famous problems in mathematics. The Poincare Conjecture, an idea about three-dimensional objects, has haunted mathematicians for nearly a century. If it has been solved, the consequences will reverberate throughout geometry and physics."

Also of note is that Perelman's solution is only a benign side effect of his efforts toward defining all three-dimensional surfaces mathematically, which if successful would allow humanity to "produce a catalogue of all possible three-dimensional shapes in the Universe, meaning that [mankind] could ultimately describe the actual shape of the cosmos itself."

posted by eyebeam on May 8, 2003 - 13 comments

Also of note is that Perelman's solution is only a benign side effect of his efforts toward defining all three-dimensional surfaces mathematically, which if successful would allow humanity to "produce a catalogue of all possible three-dimensional shapes in the Universe, meaning that [mankind] could ultimately describe the actual shape of the cosmos itself."

posted by eyebeam on May 8, 2003 - 13 comments

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