The New York Times published a short but good article about Emmy Noether yesterday.

# Category Archives: Web

# SQL and noSQL Can Be Thought of as Duals in the Mathematical Sense

This month’s Communications of the ACM (Association for Computing Machinery) has an interesting article which explains how SQL databases and noSQL databases are duals of each other in the Category Theoretical sense.

# MoMath

Did you know that there is a museum of mathematics? I didn’t know either, but now that I regularly get junk from the AMS (American Mathematical Society), I recently learned that there is a museum dedicated to math!

The new Museum of Mathematics will open in Manhattan in early 2012; see http://www.momath.org. MoMath has the enthusiastic support of notables such as actor, director, and science buff Alan Alda, among others. MoMath is showing the fun of math at the upcoming U.S. Science & Engineering Festival and in its traveling Math Midway http://www.mathmidway.org. In the coming months, the Math Midway will travel to Texas, California, Ohio and Maryland.

# Books: “A Mathematician’s Lament” by Paul Lockhart

Anybody who teaches math should read this book!

This book perfectly summarizes my disgust with the state of “education” today. The author’s main thesis is that math is an art that should be taught in a way to cultivate appreciation and understanding. It is not merely a set of formulas and definitions that students should commit to memory. Here is a quote from page 29:

By concentrating on

what, and leaving outwhy, mathematics is reduced to an empty shell. The art is not in the “truth” but in the explanation, the argument. It is the argument itself which gives the truth its context, and determines what is really being said and meant. Mathematics isthe art of explanation. If you deny students the opportunity to engage in this activity— to pose their own problems, make their own conjectures and discoveries, to be wrong, to be creatively frustrated, to have an inspiration, and to cobble together their own explanations and proofs—you deny them mathematics itself. So no, I’m not complaining about the presence of facts and formulas in our mathematics classes, I’m complaining about the lack ofmathematicsin our mathematics classes.

And another choice quote about the evils of High School Geometry from page 67:

…never was a wolf in sheep’s clothing as insidious, nor a false friend as treacherous, as High School Geometry. It is precisely because it is school’s attempt to introduce students to the art of argument that makes it so very dangerous.

Posing as the arena in which students will finally get to engage in true mathematical reasoning, this virus attacks mathematics at its heart, destroying the very essence of creative rational argument, poisoning the students’ enjoyment of this fascinating and beautiful subject, and permanently disabling them from thinking about math in a natural and intuitive way.

The mechanism behind this is subtle and devious. The student-victim is first stunned and paralyzed by an onslaught of pointless definitions, propositions, and notations, and is then slowly and painstakingly weaned away from any natural curiosity or intuition about shapes and their patterns by a systematic indoctrination into the stilted language and artificial format of so-called “formal geometric proof.”

This book is available as a freely downloadable PDF.

# SET! Puzzle now available on NYTimes.com

# Good Introduction to Emacs

I stumbled upon a short but useful introduction to emacs on the web. It has lots of screenshots to demonstrate the different commands. It even touches upon development tools like gdb and diff.

# Run any GNU/Linux app on Windows without any virtualization

Free Software Magazine has an excellent article on how to Run any GNU/Linux app on Windows without any virtualization.

It explains how to install, setup and use the free Xming X Window server for Windows and also how to use SSH from the command line. It also includes information on how to enable SSH access into an Ubuntu machine.