It does bring to mind the question of what /else/ has been lost to the ages, and how far ahead we would be right now without it. Like Ramujan, brilliance is not limited to the wealthy; just that the application of it often is (the wealthy can afford the time/energy to become educated, etc).
To italicize, use * * around the word.
I recall discussing in a class that Archimedes was known to have approximated integrals and may have even known enough about limits to have derived integral calculus.
I refer you to The History of the Calculus and Its Conceptual Development, a 1949 book by Carl B. Boyer, reprinted by Dover Publications [ISBN 0486605094]. Boyer writes several pages about Archimedes' method of exhaustion, notions of the infinitesimal, and so on. The main footnote reads:
For the works of Archimedes in general, see Heiberg, Archimedes opera omnia and T. L. Heath, The Works of Archimedes. For Archimedes' Method, see T. L. Heath, The Method of Archimedes, Recently Discovered by Heiberg; Heiberg and Zeuthen, "Eine neue Schrift des Archimedes"; and Smith, "A Newly Discovered Treatise of Archimedes."
Boyer is clearly using Heiberg's work on the Archimedes Palimpsest.
No. But I did now and in the light of the new information I would like to rephrase myself: you shouldn’t do calculus without algebra.