What should be done in a "History of mathematics" course??
I did take such a course as a student, but never taught it. However, it seems as it is NOT history of mathematics if you do not cover:
- solving the quintic
- doubling the cube, trisecting an angle, constructing an n-gon
- something from the theory of functions and theory of integration: Legendre, Abel, Jacobi, Weierstrass, Riemann
Indeed, I only understood the history of XVIII-XIX Europe after I had read the history of mathematics of that era.
