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March 2010
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hilbert problems

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One million dollars is waiting to be won by anyone who can solve one of the grand mathematical challenges of the 21st century. In the second of two articles, Chris Budd looks at the well-posedness of the Navier-Stokes equations.

Tags: aerodynamics : navier-stokes equations : Fermat's Last Theorem : mathematical modelling : fluid mechanics : Clay Institute Millennium Prize Problems : circle-squaring : angle trisection : doubling cube : hilbert problems


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Marcus du Sautoy begins a two part exploration of the greatest unsolved problem of mathematics: The Riemann Hypothesis. In the first part, we find out how the German mathematician Gauss, aged only 15, discovered the dice that Nature used to chose the primes.

Tags: prime number : Fibonacci number : logarithm : e : hilbert problems : Riemann hypothesis


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Following on from his article 'The prime number lottery' in last issue of Plus, Marcus du Sautoy continues his exploration of the greatest unsolved problem of mathematics: The Riemann Hypothesis.

Tags: prime number : mathematics and music : hilbert problems : Riemann hypothesis : Riemann zeta function : logarithmic integral : harmonic : imaginary number


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Great minds spark controversy. This is something you'd expect to hear about a great philosopher or artist, but not about a mathematician. Get ready to bin your stereotypes as Rebecca Morris describes some controversial ideas of the great mathematician David Hilbert.

Tags: history of mathematics : axiom : Euclidean geometry : logic : hilbert problems : incompleteness theorem


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Richard Elwes continues his investigation into Cantor and Cohen's work. He investigates the continuum hypothesis, the question that caused Cantor so much grief.

Tags: history of mathematics : axiom : logic : set theory : Zermelo-Fraenkel axiomatisation of set theory : hilbert problems : infinity : continuum hypothesis


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A new attempt to solve Hilbert's 16th problem is causing controversy.

Tags: mathematics in the media : hilbert problems : algebraic geometry