Math Interests

Sunday, April 17, 2016

Finite Element Analysis

While researching some information on FORTAN, I happened to com across NASTRAN (NASA STRucture ANalysis) - a program that was originally developed back in the late 1960s by Stephen Burns of the Universit of Rochester. The Wikipedia article mentions that it contains over 1M lines of FORTRAN code.

The NASTRAN program is used to perform finite element analysis (FEM)

Additional related topics to research:

https://en.wikipedia.org/wiki/Differentiable_manifold#Definition

I recently decided to add FORTRAN to a collection of Lab exercises I'm assembling on github.com

I took a FORTAN class in college - but haven't touched it since then. My Lab.Fortran project will be a workspace for experimenting with some FORTAN mathematical libraries.

fermatslibrary.com - interesting academic papers

Useful Resource: http://fermatslibrary.com/

"Fermat’s Library is a platform for illuminating academic papers. Just as Pierre de Fermat scribbled his famous last theorem in the margins, professional scientists, academics and citizen scientists can annotate equations, figures and ideas and also write in the margins. Every week we send you a new paper annotated by the community."

Sunday, March 20, 2016

Proof of Fermat's Last Theorem

Mathematician Andrew Wiles of the University of Oxford was awarded the prestigious Abel Prize for his remarkable proof of Fermat's Last Theorem

http://www.abelprize.no/nyheter/vis.html?tid=67106

http://www.businessinsider.com/andrew-wiles-abel-prize-fermats-last-theorem-2016-3

https://en.wikipedia.org/wiki/Fermat's_Last_Theorem#Fermat.27s_conjecture

Saturday, March 12, 2016

MathJax.js

https://www.mathjax.org/
https://www.mathjax.org/#features

"Beautiful math in all browsers"
"A JavaScript display engine for mathematics that works in all browsers."

Friday, November 7, 2014

Wheeler-DeWitt equation

http://en.wikipedia.org/wiki/Wheeler%E2%80%93DeWitt_equation

The Wheeler–DeWitt equation^[1] is an attempt to mathematically meld the ideas of quantum mechanics and general relativity, a step toward a theory of quantum gravity. In this approach, time plays no role in the equation, leading to the problem of time.^[2] More specifically, the equation describes the quantum version of the Hamiltonian constraint using metric variables. Its commutation relations with the diffeomorphism constraints generate the Bergmann-Komar "group" (which is the diffeomorphism group on-shell, but differs off-shell).