What's a good introduction (undergrad level) to modern axiomatic geometry? By that I mean Euclidean geometry, but using a more modern set of axioms such as Hilbert's or Tarski's.

  • $\begingroup$ Have you tried Hartshorne's "Geometry: Euclid and beyond"? There's a good 75 pages about Hilbert's axioms in there, if I'm not mistaken. $\endgroup$ – HSN Oct 14 '15 at 11:45
  • $\begingroup$ How are you using it? because a classical one is Coxeter's Revised Geoemtry $\endgroup$ – Weijie Chen Jul 28 '16 at 16:44
  • $\begingroup$ See math.stackexchange.com/a/107889/589. $\endgroup$ – lhf Aug 19 '17 at 20:31

Elemental Differential Geometry by Christian Bar has a good introduction to the axioms of Euclidean Geometry, although it swiftly moves on to non-Euclidean Geometry (as you would expect). This would be my preferred text for the axioms of Euclidean Geometry and for taking the subject further I would recommend Roger Johnson's Advanced Euclidean Geometry - old-fashioned but very good.


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