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

E-mail: rovenski@math.haifa.ac.il

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

Assignment
.PDF file
Due date
Solutions
1
homework 1

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2
homework 2 19.11.2009  
3 homework 3 29.12.2009  
4
homework 4    
       
mini-project   14.01.2010