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can somebody tell me some good books or lecture notes in "global analysis" ? I am a newcomer in this subject. thanks in advance.

greetings trito

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Just to double check, what do you think is global analysis? My answer below is based on Smale's definition of the study of "differential equations ... on manifolds and vector bundles". If you have any special topics within the confines of global analysis that your want to learn, please edit the question to clarify. – Willie Wong Feb 13 '12 at 9:23
I warmly recommend Ramanan's Global Calculus , an amazingly elegant book in the glorious tradition of Tata Institute mathematics. It is about global analysis exactly in the sense described by Willie, and written by a great mathematician. – Georges Elencwajg Feb 13 '12 at 11:59
@GeorgesElencwajg +1 for the mention of tradition of Tata Institute Mathematics! :) – user21436 Feb 13 '12 at 19:11
up vote 1 down vote accepted

A classic text on global analysis is Richard Palais' Foundations of Global Non-linear Analysis.

A more recent one is Kriegl and Michor's The Convenient Setting of Global Analysis, which has the advantage of being freely available on the author's website.

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