Hugoniot with classmates from the École Polytechnique, 1870 . Hugoniot is second from left, front row, see insert.

# Category Archives: Mathematics

## Paul Richard Heinrich Blasius

At Easter 1902 I had sat my final college examination, and was now studying mathematics. This was not simple for me: Although one can see what follows from certain algebraic manipulations, why would this be done? “By mathematics, you are convicted, instead of convinced”, according to the philosopher Schopenhauer. After some time, I realized that, …

## The History of the Navier-Stokes Equations

Over the course of a few years I have collected pictures, biographies, and other tidbits about the many famous people who have created, studied, and dedicated their lives to the Navier-Stokes equations. I set it to the music of Carmina Burana of the MIT Choir (Creative Commons). Enjoy!

## On Theory and Experiments

Regarding computing as a straightforward routine, some theoreticians still tend to underestimate its intellectual value and challenge, while practitioners often ignore its accuracy and overrate its validity. C. K. Chu, Columbia University, 1978

## Foundations of Turbulence

The mathematical formulation of the problem of homogeneous turbulence is this: Given an infinite body of uniform fluid in which motions conform to the equations and, and given that at some initial instant the velocity of the fluid is a random function of position described by certain probability laws which are independent of position, to …

## Proof that Any Number Equals Itself from the Hunting of the Snark

$$\frac{(x+7+10)(1000-8)}{992}-17$$

## Acoular

http://www.acoular.org/ My students and myself have had some good luck with the open source and free software package Acoular. We used it to try and visualize the acoustic source distribution within a tornado. It worked fairly well, but of course the technique is dependent on the quality of data used. This is generated by CFD …

## Andrei Nikolaevich Kolmogorov – A Digital Tribute

http://kolmogorov.com The great Academacian Andrei Nikolaevich Kolmogorov, who pioneered turbulence theory and started the Russian school, has fans overseas (big surprise!). I always wanted to create a website with a collection of his pictures, portraits, important articles, and anything else I could find online or off. Someone of course beat me to it! A recommended …

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## Eugene B. Dynkin Collection of Mathematics

Cornell has published a series of Mathematical Biographies of a number of famous mathematicians. When I do history portions of my classes I have often referred here. It is worth a scroll for your favorites. Check out Krylov for instance. http://dynkincollection.library.cornell.edu/ http://dynkincollection.library.cornell.edu/browsebios