Seven Puzzles of contemporary mathematics

What are the contemporary mathematicians doing? 1900 The German mathematician Hilbert ( Hilbert ) to The world's mathematicians ata mathematical problem that has been solved so far.9A. -year, Clay of AmericaCrayMathematics Research Institute to the World mathematics worker put forward seven big maths problem, have solved one now. What are the seven math puzzles?

The seven major math puzzles of the century are : :

(i)poincaréconjecture(Poincaré conjecture has been resolved);

(ii) P versus NP ( polynomial algorithm and non-polynomial algorithm);

(iii) Hodge conjecture (Hodge conjecture);

(iv) riemannhypothesis (Riemann conjecture);

(v) yang–mills existence and mass gap (Chen Ning - the existence of solution to the mills equation);

(vi) navier–stokes existence and smoothness (the existence and smoothness of the solution of the Navier-Stokes equation);

(vii) Birch and Swinnerton-dyer conjecture (Bayh, Svinestrand-Dell conjecture).

These seven math puzzles involve abstract algebra, point set topology, analytic number theory, differential equations, and quantum mechanics, and similar Goldbach "+" Even decomposition even students can understand the math problem is missing. Are these seven math puzzles the right direction for math? Not necessarily.

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Seven Puzzles of contemporary mathematics