MATH 7200

Foundations of Geometry I

Fall 2008

This is the web site page devoted to MATH 7200 Foundations of Geometry, at the University of Georgia, as led by Jim Wilson.

Course Description (from UGa Bulletin): Advanced Elementary Geometry for prospective teachers of secondary school mathematics: Axiom systems and models; the parallel postulate; neutral, Euclidean, and non-Euclidean geometries.

Prerequisites: MATH 3000 and MATH 3200 or equivalent.

MATH 7200 Documentation

MATH 7200 Syllabus - General information about the objectives and operation of the course.

Schedule

Students Enrolled

Listserv

Links

Jim's GSP Library

Some GSP based Lessons

History of Mathematics -- St. Andrews University

Resources

Libeskind's Axioms -- Appendix

Discussion Outline Section 1.1

Looking ahead to Section 1.2

 

Libeskind Manuscript -- These are PDF files for the version of the manuscript I had for pre-publication review. They may differe slightly from the published book.

Table of Contents

Appendix

Chapters 0, 1, 2

Euclid's Postulates -- From MathWorld

Euclid's Postulates -- From Math Reference Project.

For those interested in a more rigorous approach, follow the Math Reference Project Axioms of Modern Mathematics

Hilbert's Axioms for Geometry

Equivalents to the parallel postulate. See also Scott Brodie's page on the Parallel Postulate and the Pythagorean Theorem

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