2009/08/16 by Jürgen Pöschel · 2 citations
Mathematics · #math.DS #msc:37K55
published as Proceedings of Symposia in Pure Mathematics 69, 2001, 707--732 · 33 pages. Small corrections and updated references
arxiv created 2009/08/16 · arxiv updated 2009/12/01
The purpose of this lecture is to describe the KAM theorem in its most basic form and to give a complete and detailed proof. This proof essentially follows the traditional lines laid out by the inventors of this theory, and the emphasis is more on the underlying ideas than on the sharpness of the arguments.