Beauty in Math f rom a mathematician’s perspective
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Beauty in Mathfrom a mathematician’s perspective
Vesta CoufalGonzaga University Philosophy Club
March 16, 2011
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Fractal: Mandelbrot Set
http://math.youngzones.org/Fractal%20webpages/Julia_set.html
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Escher: Poincare Disk Model of Hyperbolic Geometry
http://www.pxleyes.com/blog/2010/06/recursion-the-art-and-ideas-behind-m-c-eschers-drawings/
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Euler’s Identity
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Geometry: Pythagorean Theorem
The Theorem:a2+b2=c2
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Pythagorean Theorem
Proof:
http://en.wikipedia.org/wiki/File:Pythagorean_graphic_(2).PNG
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Analysis: Fundamental Theorem of Calculus
Definition: the Derivative of a function
Definition: the Integral is
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Fundamental Theorem of Calculus
The Theorem:
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The Group E8
http://en.wikipedia.org/wiki/File:E8PetrieFull.svg
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Escher: Sphere
http://www.inkscapeforum.com/viewtopic.php?f=8&t=1411
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Penrose Tiling
http://wapedia.mobi/en/Penrose_tiling
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Fractal: Julia Set
http://math.youngzones.org/Fractal%20webpages/Julia_set.html