Do you recognize the sequence 1, 2, 5, 14, 42, 132, 429, ... ? Do
you know what the next term should be? Check out the index of integer
sequences maintained by
(Yes, I know, the number of sequences that start out this way is
infinite, but the sequence of Catalan numbers is the
only one that I know of that is interesting or useful.)
Who was Donald Knuth's Ph.D. advisor? Did Alan Turing have any
Ph.D. students? Find out by consulting the Theoretical Computer Science
Genealogy project of SIGACT.
My academic ancestors include Frank Harary, Alfred Foster, Alonzo Church,
Oswald Veblen, E. H. Moore, and H. A. Newton. My great uncles
include Stephen Kleene, Alan Turing, John Kemeny, Hartley Rogers,
Michael Rabin, Dana Scott, Raymond Smullyan, and others, all students of
Church. Check out your own academic family tree.
Mathematicians are playing the genealogy game now, too. This
project is attempting to build a data base of all people who have
received a doctorate in mathematics. When I last checked, there were 8
mathematicians named Newton in the database, but none with first name
Has Fermat's Last Theorem been proved? What is the largest known
prime number? How can one compute the digits of pi? Is 0.999 ...
really equal to 1? Who is Nicholas Bourbaki? What is the Monty Hall
Problem? Find answers to these and scores of other questions about
mathematics at the Web Site of the
sci.math FAQ team, lead by
López-Ortiz. He also maintains a Frequently
Asked Questions in Theoretical Computer Science page, but it's a
little rough yet.