Dimensional analysis
This series of articles takes a detailed look at dimensional analysis, an important and surprisingly subtle branch of mathematical physics. We can determine a lot about a physical system by examining the units of measurement that we use to describe it, often without needing to perform difficult calculations.
Starting from an intuitive description of the project of dimensional analysis, we build to a derivation of its central theorem: the Buckingham Pi theorem. We then show how one can automate the computation of the central quantities in a dimensional analysis problem. Along the way, we look at a number of examples and historical episodes.

Introduction to dimensional analysis
Tue 08 September 2015

Nondimensional numbers and the Buckingham Pi theorem
Mon 21 September 2015

Linear algebra and the Buckingham Pi theorem
Tue 29 September 2015
\begin{equation*} p = nk \end{equation*} 
Automated dimensional analysis
Wed 28 October 2015

Ultriviolet catastrophe and the beginning of quantum mechanics
Mon 06 June 2016