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April 28th, 2014, 11:15 AM  #11  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Quote: 1. Isaac Newton 2. Archimedes 3. Carl F. Gauss 4. Leonhard Euler 5. Bernhard Riemann 6. Henri Poincaré 7. JosephLouis Lagrange 8. David Hilbert 9. Euclid of Alexandria 10. Gottfried W. Leibniz 11. Alexandre Grothendieck 12. Pierre de Fermat 13. Niels Abel 14. Évariste Galois 15. John von Neumann 16. Karl W. T. Weierstrass 17. René Déscartes 18. Brahmagupta 19. Peter G. L. Dirichlet 20. Srinivasa Ramanujan 21. Carl G. J. Jacobi 22. Augustin Cauchy 23. Hermann K. H. Weyl 24. Eudoxus of Cnidus 25. Georg Cantor 26. Arthur Cayley 27. Emma Noether 28. Pythagoras of Samos 29. Leonardo `Fibonacci' 30. Muhammed alKhowârizmi I think Gauss, Euler, Cauchy, and alKhowârizmi are very much underrated on this list. 1. Gauss, 2. Euler seems pretty obvious to me, and surely alKhowârizmi should be at least in the top 10. Leonardo Fibonacci has no business on this list  despite his great historical importance, he has very little claim to being a mathematician at all, let alone a groundbreaking one. Aryabhata and Diophantus are conspicuously absent  perhaps the latter because he was never properly understood in his time, but that doesn't excuse the former. Newton ranks well in overall greatness but as a mathematician should probably be lower  most of his fame comes from his contributions to physics. (If physics were counted as a part of mathematics then surely Noether would rank higher.)  
April 28th, 2014, 11:44 AM  #12 
Newbie Joined: Apr 2014 From: zagreb Posts: 5 Thanks: 0 
Where would you put Cauchy? I think Newton was more genial than Euler, and he did revolutionary math, so I don't know. As a mathematician, he's maybe lower than Euler, but I'd put him at 2 for his geniality. Anyway, here's mine: 1. Gauss 2. Newton 3. Euler 4. Archimedes 5. now I've been wondering for decades about this. Euclid? vs Hilbert, Cauchy, Riemann, Lagrange, Poincare, Ramanujan and Noether. If I had to eliminate, it would be Euclid, Hilbert, Riemann, Poincare, Ramanujan. But how to compare those? Riemann, Poincare and especially Ramanujan were even more genial than Gauss, imho. He was maybe the greatest genius ever. Riemann did a certain thing in 1859 from which we can't still recover. Hilbert was an alien, always on the edge of philosophy and math. Plus I read he discovered field equations of general relativity before Einsein but never claimed priority. His Finiteness theorem..Gordon 'this is not math. this is theology' Last edited by raul14; April 28th, 2014 at 11:51 AM. 

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