As of May 4 2007 the scripts will autodetect your timezone settings. Nothing here has to be changed, but there are a few things

## Sunday, March 13, 2011

### The Euler spiral

Students of literature read Shakespeare; students of music listen to Bach. In mathematics such a tradition is, if not entirely absent, at least fairly uncommon. This book is meant to address that situation. Although it is not intended as a history of the calculus, I have come to regard it as a gallery of the calculus. - (William Dunham)

I am reading Dunham's book. Calculus Gallery. While reading I realized that I couldn't do the integral $$\int \cos{(x^2)}\ dx ,$$ anyway to make a long story short I discovered yet another beautiful curve ( most beautiful ever? maybe ): the Euler spiral, it is parametric plot of two Fresner integrals.

An Euler spiral has the property that its curvature at any point is proportional to the distance along the spiral, measured from the origin.

#### Exercise ( read: question ) How can we rotate the spiral?

Peek preview of Dunham's book.

## Welcome to The Bridge

Mathematics: is it the fabric of MEST?
This is my voyage
My continuous mission
To uncover hidden structures
To create new theorems and proofs
To boldly go where no man has gone before

(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)