Reimann

Reimann discovered and provided us with a better understanding for geometry
 * Why was Reimann an important figure in mathematics?**

Reimannian Geometry is a part of topology, without it topology would be fully understood. Reimanns analysis of, and ideogy of real analysis allows us to think of the universe with no obligations to limit ourselves to this world. **
 * What does the author state about the importance of Riemann's work with regards to changing our view of the world?

**Describe the changing political structure of europe at the time, and explain the increasing role of the university as an institution of significance** "No reasonable person would have predicted in the early 1800s that Berlin, or anywhere else with Germany, would soon rival Paris as a scientific or mathematical centre. The disunity and competition between small sates and the relative backwardness of the German economy created incentives for universities to excel. Local princes took pride in their universities and supported them as much as they could. Full professorships were not very numerous and were filled by recommendations by other full professors."

I found a lot of his writing hard to understand I would like to know how he came to discover the 3-Shapes idea, (x,y,z)
 * Write down any questions you have of Reimanns reading**