Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Hello, I am looking for a source that discusses and teaches hyperbolic geometry from a synthetic approach (As opposed to the common analytinc approach in the poincare disk). I am looking for something more in spirit with eucld's elements or hilbert's geometry book.

Thank you

share|improve this question
1  
This question should probably be community wiki. –  Dan Petersen Oct 8 '12 at 18:37
    
You are probably right, Fixed. –  Blade Oct 9 '12 at 11:25

4 Answers 4

Cederberg's A Course in Modern Geometries does some of this.

share|improve this answer

Hartshorne's "Geometry: Euclid and Beyond" is very nice.

share|improve this answer

I'd say your best bet is with works from the early 20th century, when this sort of thing was in fashion:

share|improve this answer
    
I'll look into them all, but of those three, which would you recommend as the 'best'? –  Blade Oct 10 '12 at 0:42
    
Depends for what. Carlslaw is the most illustrated and elementary, then Sommerville (which has exercises, and on p. 27 refers "the reader who wishes to study the development of non-euclidean geometry from a set of axioms" to Coolidge). Coolidge is more dry and more complete, with e.g. several chapters (IX, X, XVI) on line geometry in hyperbolic space: complexes, congruences, Malus-Dupin theorem, etc. –  Francois Ziegler Oct 10 '12 at 2:32

Download the article at MARVIN and look at the references.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.