Lecture Notes on Geometry

At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After the calculus, he takes a course in analysis and a course in algebra. Depending upon his interests (or those of his department), he takes courses in special topics.

1905 was Einstein’s magical year. In that year, he published three articles, on light quanta, on the foundations of the theory of Special Relativity, and on Brownian motion, each one separately worthy of a Nobel prize. Immediately after his work on Special Relativity, Einstein started thinking about gravity and how to give it a relativistically invariant formulation. He kept on working on this problem during the next ten years, doing little else.