Journal Content

Title:

Euclidean and Non-Euclidean Geometries

Subject:

geometry

Pages:

56

Issue:

No. 16 (Mar. 2010)

Author:

Coppin, Charles A.

University:

Lamar University

Contact:

Email: charles.coppin@lamar.edu

Abstract:

Development of the mathematical way of thinking through firsthand experience. Emphasis on the student’s strengthening of his or her imagination, deductive powers, and ability to use language precisely and efficiently. Study of Euclid’s geometry; Hilbert’s axioms; neutral geometry; hyperbolic geometry (non-Euclidean geometry of Gauss, Bolyai, Lobachevsky); and the axiomatic method. Historical perspective and philosophical implications are included. Students must prove a significant number of theorems on their own.

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