A Scotsman, I gained some fame by capitalizing on the resources of John Collins (librarian for the Royal Society) and his wide range of mathematical contacts.
For example, I studied mathematics for many years in Italy under the eye of Stefano degli Angeli, where we developed the ideas underlying infinitesimal methods and the quadrature of conic sections.
I was perhaps the first to formulate the binomial theorem for integral powers.
I was the first to use the term "converge," especially when trying to prove the impossibility of squaring a circle by Greek rules.
Based on my work with mathematicians in France, Holland, and England, I published books that downplayed the differences between algebraic and geometrical methods.
In addition to being a predecessor of Newton, I basically knew all of the key calculus theorems that Newton would eventually develop, but I was too bullheaded with my own geometrical agenda to see the big picture.
Answer:
James Gregory, 16381675
