Krzysztof Chalupka: Science & Engineering Notes

This page will include useful (to me and hopefully someone else out there) notes that I made during my studies, and some links I might accumulate. All the notes are here primarily as my memory aid, and if you choose to use them in any way, you do it on your own risk!

Miscellaneous Links

Sean Borman's EM Tutorial.
The easiest-to-follow derivation of EM I found on the Internet.
AMS Short Math Guide for LaTeX.
A must-read for anyone writing math-heavy documents.

Textbook Problem Solutions

Chosen problem solutions I wrote down while studying mathematics. Please use it to compare your self-learning answers with mine (do send me e-mail with questions, discussions or corrections!). Solution pages use MathJax to typeset math, you'll need Javascript enabled to display them correctly.
[Spivak Solutions]
in progress: Michael Spivak, "Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus". Chapters 1-3 complete.
[Guillemin and Pollack Solutions]
in progress: Victor Guillemin and Alan Pollack, "Differential Topology".
In the solutions above, I will sometimes refer to the following books containing basic results:
Rudin
Walter Rudin, "Principles of Mathematical Analysis", 3rd ed.
Apostol
Tom M. Apostol, "Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra", 2nd ed.
Munkres
James Munkres, "Topology", 2nd ed.
Dummit and Foote
David S. Dummit and Richard M. Foote, "Abstract Algebra", 3rd ed.

Notes on Things Not to be Forgotten

Setting up port forwarding
(e.g. to tunnel IPython Notebook from the cluster onto a home machine!): ssh -N -f -L localhost:1234:localhost:5678 uname@remote (1234 is the home machine port to forward to, 5678 is the remote port to get data from).
IPython parallel notebooks
Excellent resource: Parallel Computing with IPython
Installing numpy/SciPy with OpenBLAS support (much faster, default multithreading) -- instructions copied from a Google Group.

Amazon EMR and mrjob with Python 2.7

I wrote a note on my setup for EMR and mrjob to run arbitrary Python 2.7 scripts efficiently.
Krzysztof Chalupka
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