I have to admit that I try to read more than I actually do, in particular blog posts. In this post I give you some links from 2010 that I now read skimmed a few weeks ago and found to be fresh enough to be shared again.

Continue reading «From the Backlog 2010»

Nowadays it is common to use $x \mapsto f(x)$ to denote that an element $x \in X$ is mapped to an element $f(x) \in Y$ by the map(ping) $f : X \to Y$. In particular, the arrow $\rightarrow$ (in LaTeX: \rightarrow) denotes a map, or more generally a morphism, while $\mapsto$ (in LaTeX: \mapsto) denotes how particular elements or objects are mapped to other elements or objects.

Have you ever seen an arrow which has a triangle as head? Like those:

Continue reading «An arrow notation for annotations»

This is a list of resources available on the web for research mathematicians, which used to be updated regularly. The first version was published May 5, 2012. The last update was on March 12, 2015, marked by [UPDATE 15-03-12]. It is now no longer actively maintained.

Continue reading «Mathematics Resources»

I just finished Decoding the Universe - How the new science of information is explaining everything in the cosmos, from our brains to black holes, written 2006 by the former mathematics student and now associate professor of journalism Charles Seife, apparently well known for his other books Zero and Alpha&Omega (which I didn't read).
The book in Google Books and a much shorter review I wrote in German on Amazon.de

Continue reading «Review – Seife: Decoding the Universe»

Since I recently finished reading Donald G. Saari's wonderful book "Chaotic Elections - A Mathematician Looks at Voting" (published by the American Mathematical Society), I decided to give a short example of what goes wrong in elections, so you'll know how voting paradoxes influence our lives and why you should know something about it. This is about Germany, but I tried to design the example such that you don't have to know anything about Germany to understand it.
Continue reading «Problematic elections»

Ich mach mal eine Liste von den Grundlagen, und woher ich sie gelernt habe (=was ich als brauchbare Lektüre empfinde, also meine Lieblingsliteratur)
Continue reading «Gute Mathematik Skripten und Bücher»