Milnor wins 2011 Abel prize

John Milnor, the American mathematician known for his discovery of exotic hyperspheres, has been awarded the 2011 Abel Prize by the Norwegian Academy of Science and Letters. The Abel Prize, which is accompanied by a cash award of USD$1 million, is generally regarded as the equivalent of the Nobel Prize in the field of mathematics.

Milnor’s principal field of study is the field of differential topology. One of Milnor’s discoveries was an exotic hypersphere in seven dimensions. Milnor showed that the solution of a problem such the propagation of waves or heat on this manifold could not be smoothly translated

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Pi goes on forever

In honor of Pi Day — 3.14.2011 — we offer a brief history of Pi and of its computation.

By David H. Bailey and Jonathan M. Borwein

I. A brief history of Pi

The mathematical constant we now know as Pi = 3.14159… has fascinated mathematicians for millennia. Archimedes of Syracuse (~250 BCE) rigorously showed that the area of a circle is Pi times the square of the radius. He then presented an approximation scheme, based on inscribed and circumscribed polygons, which enabled one to compute Pi to any desired accuracy. He himself found, with laborious and ingenious computation, that

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