Selected topics in Geometry

Foundations of Geometry

Lecturer: Prof. Vladimir Rovenski

Reception time: Thursday ("5"), 15.00-16.00, room 632, Office tel.: 04-8288422
Web page: http://math.haifa.ac.il/ROVENSKI/rovenski-geom_foundations.html

Requirements of the course and a formula of a final mark, click here.

Questions for the course, click here.

Example of Final Exam, click here.

Syllabus of course,

click here.

Lessons:

Monday: 10.15-11.45

room 467

Thursday: 12.15-13.45

room 408

moed aleph 25.01.2010, 12.30

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moed beth 19/02.2010, 08.30

Final marks

click here.

Materials for Lessons :

Text file: WWW Sources "Foundations Geometry", click here.

Books :

1. Text pdf (D. Blanc), click here

2. Gilbert, Foundations of Geometry (English), click here

3. Audin, Geometry (English), click here

Lessons:

1. Introduction. (Skew)-Fields (R, C, H and Z_p) and their geometries.

2. Euclidean Geometry in R^n.

3. Axiomatic Geometry (Euclidean, Hyperbolic and Absolute). Model and Verification of axioms.

4. Symmetries of figures in R^2 and R^3.

5. Spherical Geometry.

6. Affine Geometry.

7. Projective Geometry. Model RP^n. Axioms of Projective Geometry.

8. Inversive Geometry.

9. Hyperbolic Geometry. Model and Verification of axioms. to see extracts click here

Exercises