Isaac Newton 
Archimedes 
Carl Gauss 
Leonhard Euler 
Bernhard Riemann 
Henri Poincaré 
J.L. Lagrange 
David Hilbert 
Euclid 
G.W. Leibniz 
Alex. Grothendieck 
Pierre de Fermat 
The Greatest Mathematicians
of All Time
ranked in approximate order of "greatness."
To qualify, the mathematician
must be born before 1930
and his work must have
breadth,
depth, and
historical importance.
 
At some point a longer list will become a List of Great Mathematicians rather than a List of Greatest Mathematicians. I've expanded the List to an even Hundred, but you may prefer to reduce it to a Top Seventy, Top Sixty, Top Fifty, Top Forty or Top Thirty list, or even Top Twenty, Top Fifteen or Top Ten List. In compiling this list, I've considered contributions outside mathematics. I already give lower weight to breadth and influence in mathematical physics, but if I reduced the weight to zero, the List would be much different. Newton contributed little to number theory, but is considered to have breadth because of his physics, which is also his main influence. If only breadth, genius and influence in pure mathematics are considered, I'm not sure Newton belongs even on the Top Eight.  
 
 
 
 
 
 
 
I've appended five additional names to the List of Seventyfive Greatest Mathematicians. Maxwell, Einstein, etc. are among the greatest applied mathematicians in history, but lack the importance as pure mathematicians to qualify for The Top 75. Nevertheless I'd want to include them in any longer list. Because of their ambiguous status, I've left these five without rank numbers. I think One Hundred is a good list size, but it's not a multiple
of fifteen, and I don't want to change the way I've formatted
the list. :)
I've finally brought the List up to One Hundred Fifty;
and that's the end of this project!
For this extended list, I relax the birthdate rule slightly to include
two greats born in the 1930's.
 
 
 
 
 
This webpage started as a Top Ten List, and it took a lot of reading by me to finally realize Leibniz and Grothendieck were the two I needed to add to get a Top Twelve. And on and on and on until the List has grown to 150 names! But the task seems increasingly overwhelming! I won't make the List any bigger than it already is, but I do solicit comments: Surely the 150 I've chosen are not the very very "greatest"! My list is biased against modern mathematicians.
An average 6+ on the List of 150 were born in each decade
from 1800 to 1919, but only 4 born in the 1920's, 2 in the 1930's,
and none more recently.
I welcome submission of suggested names and minibios
for more recent mathematicians.

This is primarily a list of Greatest Mathematicians of the Past, but I use 1930 birth as an arbitrary cutoff, and three of the "Top 100" are still alive as I write.
Click for a discussion of certain omissions. Please send me email if you believe there's a major flaw in my rankings (or an error in any of the biographies). Obviously the relative ranks of, say Fibonacci and Ramanujan, will never satisfy everyone since the reasons for their "greatness" are different. I'm sure I've overlooked great mathematicians who obviously belong on this list. Please email and tell me! (Sorry if mathematician "100." displays as "00." Either my html is flawed, or Microsoft IE doesn't like lists longer than 99.)
(By the way, the ranking assigned to a mathematician will appear if you place the cursor atop the name at the top of his minibio.)
Biographies of the greatest mathematicians are in separate files by birth year:
(Or you can View the List and Bios as a single page.)