most recent 30 from http://mathoverflow.net 2013-05-24T06:33:05Z http://mathoverflow.net/feeds/question/74837 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/74837/frechet-manifolds-book niko 2011-09-08T07:21:27Z 2011-09-08T12:32:26Z

<p>hi, does anyone know a good book or some lecture notes on the theory of frechet manifolds ? </p>

http://mathoverflow.net/questions/74837/frechet-manifolds-book/74838#74838 Stefan Waldmann 2011-09-08T07:41:09Z 2011-09-08T07:41:09Z

<p>There is the book by Kriegl and Michor called "Convenient setting of global analysis" published by the AMS. It goes much beyond Fréchet and really gives a big panorama. However, it is not easy reading and requires really some work. But I guess that is due to the subject...</p>

http://mathoverflow.net/questions/74837/frechet-manifolds-book/74839#74839 David Roberts 2011-09-08T07:46:12Z 2011-09-08T07:46:12Z

<p>You could try</p> <blockquote> <p>Hamilton, Richard S. (1982). "The inverse function theorem of Nash and Moser". Bull. Amer. Math. Soc. (N.S.) 7 (1): 65–222. doi:10.1090/S0273-0979-1982-15004-2</p> </blockquote> <p>And there's a paper by Milnor on infinite dimensional Lie groups which could be useful.</p>