Beauty in Math from a mathematician’s perspective

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Presentation transcript:

Beauty in Math from a mathematician’s perspective Vesta Coufal Gonzaga University Philosophy Club March 16, 2011

Fractal: Mandelbrot Set http://math.youngzones.org/Fractal%20webpages/Julia_set.html

Escher: Poincare Disk Model of Hyperbolic Geometry http://www.pxleyes.com/blog/2010/06/recursion-the-art-and-ideas-behind-m-c-eschers-drawings/

Euler’s Identity

Geometry: Pythagorean Theorem The Theorem: a2+b2=c2

Pythagorean Theorem Proof: http://en.wikipedia.org/wiki/File:Pythagorean_graphic_(2).PNG

Analysis: Fundamental Theorem of Calculus Definition: the Derivative of a function Definition: the Integral is

Fundamental Theorem of Calculus The Theorem:

The Group E8 http://en.wikipedia.org/wiki/File:E8PetrieFull.svg

Escher: Sphere http://www.inkscapeforum.com/viewtopic.php?f=8&t=1411

Penrose Tiling http://wapedia.mobi/en/Penrose_tiling

Fractal: Julia Set http://math.youngzones.org/Fractal%20webpages/Julia_set.html