Terminated in academic year 2010/2011

Differential Geometry

Type of study	Doctoral
Language of instruction	Czech
Code	714-0921/02
Abbreviation	DifG
Course title	Differential Geometry
Credits	10
Coordinating department	Department of Mathematics and Descriptive Geometry
Course coordinator	doc. RNDr. Pavel Burda, CSc.

Subject syllabus

1. Curves in the plane and in space.
2. Curvature.
3. Global properties of curves.
4. Surfaces in three dimension.
5. Tangents, normals.
6. Examples of surfaces.
7. Quadratic surfaces.
8. Lenghts of curves on surfaces.
9. Isometries on surfaces, conformal mappings.
10. Surface area.
11. The curvature of curves on surface.
12. Normal and principal curvatures.
13. Geometrical interpretacion.

Literature

Pressley, A.: Elementary Differential Geometry, Springer Verlag, London, 2001,

Advised literature

Holme, A.: Geometry. Springer – Verlag, Berlin, Heidelberg, New York, 2002,
.
Jennings, G.A.: Modern Geometry with Applications, Springer-Verlag, New York,
1994, .

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