Hilbert's problems
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Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. He intended to rival the master of French mathematics, Henri Poincaré, and to prove that he w
David Hilbert
Millennium Prize Problems
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The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged to pay one million US dollars for th
Hilbert's problems
…Arnold to propose a list of 18 problems. At least in the mainstream media, the de facto 21st century analogue of Hilbert's problems is the list of seven Millennium Prize Problems chosen during 2000 by the Clay Mathematics Institute. Unlike the Hilbert problems, where the primary award was the admiration of Hilbert in particular…
A compact 2-dimensional surface without boundary is topologically homeomorphic to a 2-sphere if every loop can be continuously tightened to a point. The Poincaré conjecture asserts that the same is true for 3-dimensional spaces.