120 likes | 221 Views
Delve into the captivating realm of mathematics from a unique perspective offered by Vesta Coufal, a mathematician from Gonzaga University Philosophy Club. Discover the mesmerizing intricacies of fractals such as the Mandelbrot Set and Julia Set, and gain insights into Escher's mesmerizing Poincare Disk Model of Hyperbolic Geometry. Explore Euler's Identity, the Pythagorean Theorem, and the profound implications of the Fundamental Theorem of Calculus. Unravel the mystique of geometric wonders like the Group E8 and Escher's Sphere, along with the mesmerizing patterns of Penrose Tiling. Embark on a journey through the elegance and complexity of mathematical concepts that underpin our perceptual reality.
E N D
Beauty in Mathfrom 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/
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