Neutral and Non-Euclidean Geometries
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|David C. Royster; University of North Carolina at Charlotte|
|Course notes that include: Origins of geometry; spherical geometry; logic and the axiomatic method; proof; Euclid's mathematical system; incidence geometry; betweenness axioms; congruence theorems; axioms of continuity; neutral geometry; theorems of continuity; the work of Saccheri and Gauss; hyperbolic geometry; classification of parallels; the pseudosphere; hyperbolic trigonometry and hyperbolic analytic geometry; and more.|
|Levels:||High School (9-12), College|
|Resource Types:||Course Notes|
|Math Topics:||Euclidean Plane Geometry, Elliptic & Spherical Geometry, Hyperbolic Geometry, History and Biography, Logic/Foundations, Trigonometry|
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