In a series of lectures we introduce some basics for the block seminar on the Nash-Moser inverse function theorem. We start with the definition of and examples for Fréchet spaces and discuss Fréchet-space-valued integrals. [I.1-I.2]
The literature references refer to R. Hamilton's article "On the inverse function theorem of Nash and Moser", Bull. AMS 7 (1), 65-222 (1982).