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Ernest Yeung ernestyalumni

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ernestyalumni / Rd.py
Created December 8, 2015 19:53
Implementation of Euclidean space $\mathbb{R}^d$ as a manifold using sagemanifolds for Sage Math
## Rd.py
## Euclidean Rd
## I've used and relied upon heavily the SM_tutorial.pdf SageManifolds tutorial by
## Eric Gourgoulhon, Michal Bejger (2015)
## who both not only made a great Sage package and lucid documentation but are very helpful,
## and generous with helping anyone, and we're all richer for it; we really are.
##
############################################################################
## Copyleft 2015, Ernest Yeung <ernestyalumni@gmail.com>
##
@ernestyalumni
ernestyalumni / topology.sage
Created May 24, 2015 14:08
Topology.sage Use Sage Math and Set function/module to check if a set is a topology and other implementations for Topology
## topology.sage
## This is my implementation of Topology
## utilizing
## Sage Math
## from
##
## The main reference that I'll liberally copy from is from is
## Lecture 1: Topology (International Winter School on Gravity and Light 2015)
## Frederic P Schuller
## The WE-Heraeus International Winter School on Gravity and Light 2015
@ernestyalumni
ernestyalumni / nBodyProblem.py
Created May 19, 2015 20:35
nBodyProblem.py implementation of n-body problem in sympy
## nBodyProblem.py
## This is my implementation of the n-body problem
## using Sympy
## The main reference
## Edward Belbruno, Capture Dynamics
######################################################################################
## Copyleft 2015, Ernest Yeung <ernestyalumni@gmail.com>
##
## 20150518
##
@ernestyalumni
ernestyalumni / homology.sage
Last active August 29, 2015 14:21
homology.sage In Sage Math, implementation of simplicial complexes for computing chain complexes and homology cf. https://www.math.hmc.edu/~su/pcmi/projects/simplicial_module/simplicial_pcmi.pdf and J.M. Lee's Introduction to Topological Manifolds
## homology.sage
## This is my implementation of Algebraic Topology, Homology, Simplicial Complexes
## utilizing
## Sage Math
## from
##
## The main reference that I'll liberally copy from is from is
## Introduction to Topological Manifolds
## by J.M. Lee
################################################################################