Teaching materials

I will use Bj?rn Jahren's textbook ``Geometric Structures in Dimension Two''. This is the version from August 11th 2015.

Here are some other sources I have looked at.

Books

• James W. Anderson: ``Hyperbolic Geometry,'' Springer-Verlag.
• Marvin Jay Greenberg: ``Euclidean and Non-Euclidean Geometries,'' W.H. Freeman and Company.
• William P. Thurston (edited by Silvio Levy): ``Three-Dimensional Geometry and Topology, Volume I,'' Princeton University Press.

Papers

• Robin Hartshorne: ``Teaching Geometry According to Euclid,'' Notices of the AMS, Volume 47, Number 4.
• Allen Hatcher: ``The Kirby Torus Trick for Surfaces,'' arXiv:1312.3518v1 [math.GT].
• Carsten Thomassen: ``The Jordan-Schoenflies Theorem and the Classification of Surfaces," Amer. Math. Monthly 99 (1992), no. 2, 116¨C130.

Illustrations

• Doug Arnold and Jonathan Rogness: ``Moebius Transformations Revealed,'' Univ. of Minnesota.
• Maurits Cornelis Escher: ``Angels and Devils.''
• Hevea project: ``Flat torus.'
• The pseudosphere.

Wikipedia

• ``Cross-ratio,'' Wikipedia.
• ``Full moon,'' Wikimedia.
• ``Geometrization conjecture,'' Wikipedia.
• ``Mathematical fallacy,'' Wikipedia.
• ``Poincare homology sphere,'' Wikipedia.
• ``Seifert-Weber space,'' Wikipedia.
• ``Synthetic geometry,'' Wikipedia.
• ``Uniformization theorem,'' Wikipedia.

- John