Papers on "Origins and Significance of Hyperbolic Geometry" and similar term paper topics

Paper #104815 :: Origins and Significance of Hyperbolic Geometry
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An analysis of the origins and importance of hyperbolic (non-Euclidean) geometry.

Written in 2008; 1,279 words; 6 sources; MLA; $ 43.95

Paper Summary:

This paper examines the origins and significance of hyperbolic geometry. Specifically,it briefly discusses the men who conceived of it, as well as how hyperbolic geometry differs from Euclidean geometry. Finally, and most importantly, the paper looks at the significance of hyperbolic geometry when it comes to exploring the universe around us.

From the Paper:

"Delving deeper, the contemporary significance of non-Euclidean geometry grows more and more unavoidable - even to those disinclined to give it its "due". For one thing, it is well-known that hyperbolic geometry has shed some light on the immersion and curvature of spaces. More importantly, Einstein's theory of relativity is, at least in part, indebted to non-Euclidean geometry - though it is admittedly not clear from the available literature the precise extent to which hyperbolic geometry made his revolutionary findings vis-a-vis relativity possible. In any event, this writer - drawing upon course work completed in previous introductory classes that dealt with geometry and its relationship to modern cosmology - would be remiss if he did not also point out the fact that the "empty" regions in outer space where no matter exists can really only be described adequately using a hyperbolic model. In effect, understanding the Hubble Constant involves understanding and appreciating non-Euclidean, hyperbolic geometry."

Tags: relativity mathematics, Hubble Constant, cosmology

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