1. Bernhard Riemann 1826 -1866. By: jonathan rodriguez

3. He was the son of a poor country minister in northern Germany.

4. He studied some of Euler and Legendre while he was in secondary school.

6. He went to University of Gottingento study and become a minister himself.

7. But before it was too late he realized his mistake and with his father’s permission, he switched to mathematics.

8. After a while he switched to University of Berlin.

9. Once there he learned a great deal from Dirichlet and Jacobi.

11. Gauss died in 1855, and Dirichlet was called to Gottingen as his successor.

12. Dirichlet helped Riemann in every way he could and even arranged a small salary for him.

13. But Dirichlet died in 1859 and Riemannwas appointed as a full professor to replace him.

15. Like most of the great ideas of science, Riemannian geometry is quite easy to understand if we set aside the technical details and concentrate on its essential features.

16. Gauss had earlier discovered the intrinsic differential geometry of curved surfaces.

17. If a surface embedded in three dimensional space is defined parametrically by three functions x=x(u,v), y=y(u,v), and z=z(u,v), then u and v can be interpreted as the coordinates of the points on the surface.

18. The distance ds between any two nearby points (u,v) and (u+du,v+dv) is given by Gauss's quadratic differential form: ds = Edu^2 + 2Fdudv + Gdv^2,

19. Have a great summer!!!