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Wednesday, December 28, 2005

A 6****** star math book

I don't rate something 5***** stars easily. I mean what's beyond 5? Today I found a book for which a 5 star rating is simply too low. The book is extremely:
- different
- relevant
- interactive ( even more so than some math 'websites' )
- challenging
- fun.
If there is a book which I ever rated as a 5***** it must be Concrete Mathematics from Graham, Knuth and Patashnik. Polynomials, that's how it's called, is like that but much more coherent. It is a * * * * * * rating, to me anyway. Must have, must read, can't wait, buy now.

Oh, eh, it is out of print, sorry. Not for sale. ;-)

Friday, December 16, 2005

Group Explorer 2.0

"... Group Explorer is mathematical visualization software for the abstract algebra classroom. Users can explore dozens of finite groups (and morphisms among them) visually and interactively. ..."
GE 2.0 developer Nathan Carter.

Where GAP is targeted to professional algebra researchers and Mathematica Abstract Algebra to students who already have completed one or two abstract algebra courses and know the ins- and outs of Mathematica, Group Explorer is meant for beginners. A beautiful tool to demonstrate properties of a limited number of small groups. Version 2.0 is primarily a "look and feel" release. The program is free and downloadable as C++ source or executable.

Thursday, December 15, 2005

Lie Algebras

e^ A, e to the power matrix A, e to the power {{2,0},{0,1}}.
Matrices as power coefficients.
Is that cool, or what?

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Mathematics: is it the fabric of MEST?
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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.)