unwanted capture » Galois theory http://www.unwantedcapture.org logic, philosophy, mathematics, linguistics, ... Mon, 19 Jul 2010 21:17:52 +0000 http://wordpress.org/?v=2.9.2 en hourly 1 Dedekind on Galois theory http://www.unwantedcapture.org/2009/08/12/dedekind-on-galois-theory/ http://www.unwantedcapture.org/2009/08/12/dedekind-on-galois-theory/#comments Thu, 13 Aug 2009 01:35:07 +0000 Edward Dean http://www.unwantedcapture.org/?p=403 My advisor and I are currently crafting plans for a book focusing on Dedekind’s style of mathematics and the manner in which things like Galois theory and algebraic number theory evolved in his hands. Part of the book would consist of some translations (with commentary) of pieces by Dedekind.

I’ve just put a draft of one such translation up on my web page. It is an excerpt from the 1894 edition of the Dirichlet-Dedekind Vorlesungen über Zahlentheorie. The selected portion focuses on the structure of the lattice of subfields of \mathbb{C}, and it spells out how Galois theory can be construed in the field-theoretic framework laid out by Dedekind (i.e. the modern take on Galois theory).

Any comments on the draft are welcome.

]]> http://www.unwantedcapture.org/2009/08/12/dedekind-on-galois-theory/feed/ 0