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Physical Sciences and Mathematics Commons

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Loyola Marymount University and Loyola Law School

Series

Mathematical theorems

Articles 1 - 4 of 4

Full-Text Articles in Physical Sciences and Mathematics

Drawing A Triangle On The Thurston Model Of Hyperbolic Space, Curtis D. Bennett, Blake Mellor, Patrick D. Shanahan Apr 2010

Drawing A Triangle On The Thurston Model Of Hyperbolic Space, Curtis D. Bennett, Blake Mellor, Patrick D. Shanahan

Mathematics Faculty Works

In looking at a common physical model of the hyperbolic plane, the authors encountered surprising difficulties in drawing a large triangle. Understanding these difficulties leads to an intriguing exploration of the geometry of the Thurston model of the hyperbolic plane. In this exploration we encounter topics ranging from combinatorics and Pick’s Theorem to differential geometry and the Gauss-Bonnet Theorem.


The Probability Of Relatively Prime Polynomials, Arthur T. Benjamin, Curtis D. Bennett Jun 2007

The Probability Of Relatively Prime Polynomials, Arthur T. Benjamin, Curtis D. Bennett

Mathematics Faculty Works

No abstract provided.


A Sequence Of Polynomials For Approximating Arctangent, Herbert A. Medina Feb 2006

A Sequence Of Polynomials For Approximating Arctangent, Herbert A. Medina

Mathematics Faculty Works

No abstract provided.


Fermat's Last Theorem For Rational Exponents, Curtis D. Bennett, A. M. W. Glass, Gábor J. Székely Apr 2004

Fermat's Last Theorem For Rational Exponents, Curtis D. Bennett, A. M. W. Glass, Gábor J. Székely

Mathematics Faculty Works

No abstract provided.