Notes & References

Math 306

Course Outline

• Weeks I & II - Euclid, Book I
• Week III - Results post-Euclid & the Classical Problems [notes]
• Week IV - Logic & Axiomatic Mathematics
• Week V & VI- Hilbert's Axioms & Neutral Geometry
• Week VII - Birkhoff & SMSG
• Parallel Postulate & Hyperbolic Geometry
• Projective Geometry
• Week XIV

Axiom Systems for Plane Geometry

• Euclid (from Elements, Book I, 300 BC)
• Hilbert (from Foundations of Geometry, 1899)
• Birkhoff (from A Set of Postulates ..., 1931)
• SMSG (from Geometry, 1958)
• Tarski