TIMELY WISDOM

Thursday, July 1, 2010

Mark Kac Bio

Mark Kac, a Polish and American mathematician


Mark Kac (1914 - 1984) was a Polish mathematician. He was born in Krzemieniec and died in California, USA. His main interest was probability. His question "can you hear the shape of a drum?" set off research into spectral theory, with the idea of understanding the extent to which the spectrum allows one to read back the geometry. (In the end, the answer was "no", in general.) His book of popularisation with Stanislaw Ulam is a minor classic.





Quotations by Mark Kac:

There are surely worse things than being wrong, and being dull and pedantic are surely among them.
Quoted in D MacHale, Comic Sections (Dublin 1993)

... there are those who believe that mathematics can sustain itself and grow without any further contact with anything outside itself, and those who believe that nature is still and always will be one of the main (if not the main) sources of mathematical inspiration. The first group is identified as "pure mathematicians" (though "purist" would be more adequate) while the second is, with equal inadequacy, referred to as "applied".
Quoted in R W Ritchie, New directions in mathematics

Steinhaus, with his predilection for metaphors, used to quote a Polish proverb, 'Forturny kolem sie tocza' [Luck runs in circles], to explain why π, so intimately connected with circles, keeps cropping up in probability theory and statistics, the two disciplines which deal with randomness and luck.
Enigmas of Chance

...to quote a statement of Poincare, who said (partly in jest no doubt) that there must be something mysterious about the normal law since mathematicians think it is a law of nature whereas physicists are convinced that it is a mathematical theorem.
Statistical Independence in Probability Analysis and Number Theory

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