Transcription of THE MILLENIUM PROBLEMS The Seven Greatest Unsolved ...
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THE MILLENIUM PROBLEMSThe Seven Greatest Unsolved Mathematifcal Puzzles ofour TimeFreshman SeminarUniversity of California, IrvineBernard RussoUniversity of California, IrvineFall 2014 Bernard Russo (UCI)THE MILLENIUM PROBLEMS The Seven Greatest Unsolved Mathematifcal Puzzles of our Time1 / 11 PrefaceIn May 2000, at a highly publicized meeting in Paris, the Clay MathematicsInstitute announced that Seven $1 million prizes were being offered for thesolutions to each of Seven Unsolved PROBLEMS of mathematics PROBLEMS that aninternational committee of mathematicians had judged to be the Seven mostdifficult and most important in the field some of these PROBLEMS , it takes considerable effort simply to understand theindividual terms that appear in the statement of the problem. It is not possible todescribe most of them accurately in lay terms or even in terms familiar tosomeone with a university degree in goal of this seminar is to provide the background to each problem, todescribe how it arose, explain what makes it particularly difficult, and give somesense of why mathematicians regard it as seminar is not for those who want to tackle one of the PROBLEMS , but ratherfor mathematicians and non-math
(quantum physics; why electrons have mass) P versus NP|Chapter 3 (how e ciently can computers solve problems) The Navier-Stokes Equations|Chapter 4 (the motion of uids and gases; nautical and aeronautical engineering) Bernard Russo (UCI) THE MILLENIUM PROBLEMS The Seven Greatest Unsolved Mathematifcal Puzzles of our Time 6 / 11
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