Chapter One
Axiomatic Systems and Finite Geometries
We may as well be talking about chairs,
coffee tables and beer mugs.
—David Hilbert (1862–1943)
Section 1.1 -
Introduction
to Axiomatic Systems
Examples of Axiomatic Systems
(Exercises 1.1–1.3)
Historical Overview Axiomatic Systems and Finite Geometry
Section 1.2 - A Finite Geometry (Exercises 1.4–1.11)
Section 1.3 - Finite Projective Plane Geometry (Exercises 1.12–1.21)
Section 1.4 - Applications of Finite Geometry
Chapter One Exercises.
Exercises from all the sections.
Solutions. Solutions to
selected exercises.
Self-Assessment Quizzes.
Quizzes for all sections.
An expert problem solver must be
endowed with two incompatible qualities, a restless imagination and a patient
pertinacity.
—Howard Eves, In Mathematical Circles (1969)
Course IntroductionChapter Two Euclidean and Non-Euclidean Geometry |
© Copyright 2005, 2006 - Timothy Peil |