Università Roma Tre

Exercises in parallel with the lessons on the following topics: Topology: topological classification of curves and surfaces. Differential geometry: study of the geometry of curves and surfaces in R^3 to provide concrete and easily calculable examples on the concept of curvature in geometry. The methods used place the geometry in relation to calculus of several variables, linear algebra and topology, providing the student with a broad view of some aspects of mathematics.

[1] J.M. Lee, Introduction to topological manifolds. Springer, (2000). (http://dx.doi.org/10.1007/b98853)
[2] J.W. Milnor, Topology from the differential viewpoint. Princeton University Press, (1994).
[3] M. Do Carmo , Differential Geometry of Curves and Surfaces. Prentice Hall, (1976).
[4] M.Abate, F.Tovena, Curve e Superfici. Springer, (2006).