Euclidean and Non-Euclidean Geometries : Development and History,Third Edition, by Marvin Jay Greenberg, 2003, W.H. Freeman and Company.

William K. Allard, Professor of Mathematics

Office: 024A Physics Building Phone: (919) 660-2861 Fax: (919) 660-2821 E-mail: wka@math.duke.eduOffice Hours: Monday, Wednesday and Friday 10:10-11:50am

Physics Building, Room 218, MWF 1:10-2:00pm

We'll cover the entire text.

40% Homework 20% Midterm 20% Project 20% Final exam

They will appear.

- Sets, relations and functions PDF Postscript Revised August 22, 2003.
- Some useful set theoretic identities PDF Postscript Revised September 28, 2003.
- Some fixed point theorems PDF Postscript Revised August 22, 2003.
- Hilbert's axioms for neutral geometry.

- The incidence axioms PDF Postscript Revised August 22, 2003.
- The betweenness and continuity axioms PDF Postscript Revised August 22, 2003.
- Betweenness preserving permutations PDF Postscript Revised October 2, 2003.
- The congruence axiom PDF Postscript Revised October 2, 2003.
- The parallel projection theorem PDF Postscript Revised October 2, 2003.
- Angle sums and more PDF Postscript Revised November 7, 2003.
- Ruler and compass constructions PDF Postscript Revised November 7, 2003.
- The Poincare' upper half plane model for hyperbolic geometry PDF Postscript Revised November 17, 2003. Stuff will be added.

- Homework 1, due September 1 PDF Postscript Revised August 22, 2003.
- Homework 2, due September 8 PDF Postscript Revised August 22, 2003.
- Homework 3, due September 17 PDF Postscript Revised August 22, 2003.
- Homework 4, due at a time to be decided later PDF Postscript Revised August 22, 2003.
- Homework 5, due October 27 PDF Postscript Revised August 22, 2003.

There are quite a few suggestions for projects in the exercises at the end of each chapter in the book. The following URL gives many more; they won't make much sense to you in the beginning.

Return to: Duke University * Mathematics Department

- More projects PDF Postscript Revised August 22, 2003.

wka@math.duke.edu Last modified: August 27, 2003.