Exercises for a course "Topology", spring 2008 v1.0

Continued fractions and Generalizations. Lectures and exercises. (Summer 2011)


  1. Introductional lecture (pdf). 15 March.
  2. On integer geometry (pdf). 22 March.
  3. Geometry of ordinary continued fractions (pdf). 29 March.
  4. Complete invariants of integer angles (pdf). 5 April, Part 1.
  5. Integer trigonometry for integer angles (pdf). 5 April, Part 2.
  6. Integer angles of integer triangles (pdf). 12 April.
  7. Elements of Gauss Reduction Theory via geometric continued fractions (pdf). 10 May.
  8. Moebius geometry and Gauss-Kuzmin distribution (pdf). 17 and 24 May.
  9. Continued fractions and the second Kepler law (pdf). 31 May.
  10. Multidimensional continued fractions in the sense of Klein (pdf). 15 June.
  11. Periodicity of Klein polyhedra (pdf). 28 June.



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