29 January 2010

Ancient and early modern mathematics online

The Internet resources are getting better and better. What a luxury to be able to browse through Euler's Opera Omnia, Diophantus' Arithmetica, Einstein's Grundlage der allgemeinen Relativitätstheorie, Fermat's Oeuvres, or Euclid's Elements, among many many others. Here are some links:



There is still a lot of non-uniformity in how the documents are presented, searched or read. But I believe that, with time, we will have the whole lot there for everyone to read.
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T H E B O T T O M L I N E

What measure theory is about

It's about counting, but when things get too large.
Put otherwise, it's about addition of positive numbers, but when these numbers are far too many.

The principle of dynamic programming

max_{x,y} [f(x) + g(x,y)] = max_x [f(x) + max_y g(x,y)]

The bottom line

Nuestras horas son minutos cuando esperamos saber y siglos cuando sabemos lo que se puede aprender.
(Our hours are minutes when we wait to learn and centuries when we know what is to be learnt.) --António Machado

 Αγεωμέτρητος μηδείς εισίτω.
(Those who do not know geometry may not enter.) --Plato

Sapere Aude! Habe Muth, dich deines eigenen Verstandes zu bedienen!
(Dare to know! Have courage to use your own reason!) --Kant