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.
Curriculum
teacher profile teaching materials
[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).
Programme
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.Core Documentation
[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).
Attendance
Highly recommended, lectures with exercises and active student participation three times a weekType of evaluation
Solve topology and differential geometrywritten exercises. Present a theorem with proof. Argue and prove. teacher profile teaching materials
[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).
Mutuazione: 20410411 GE310 - ISTITUZIONI DI GEOMETRIA SUPERIORE in Matematica L-35 R SUPINO PAOLA, PONTECORVO MASSIMILIANO
Programme
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.Core Documentation
[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).
Attendance
Highly recommended, lectures with exercises and active student participation three times a weekType of evaluation
Solve topology and differential geometrywritten exercises. Present a theorem with proof. Argue and prove.Mutuazione: 20410411 GE310 - ISTITUZIONI DI GEOMETRIA SUPERIORE in Matematica L-35 R SUPINO PAOLA, PONTECORVO MASSIMILIANO
