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.
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2Have 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. – HSN Oct 14 '15 at 11:45
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How are you using it? because a classical one is Coxeter's Revised Geoemtry – Weijie Chen Jul 28 '16 at 16:44
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1See https://math.stackexchange.com/a/107889/589. – lhf Aug 19 '17 at 20:31
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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.
JamesDixon
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I was about to recommend Christian Bär's book, too. The title is "Elementary Differential Geometry" though. I've only read the non-Euclidean Geometry part, but this one is very good. – user408858 Jun 04 '24 at 02:08