These notes are the result of a course in dynamical systems given
at Orsay during the 1976-77 academic year. I had given a similar
course at the Gradu ate Center of the City University of New York
the previous year and came to France equipped with the class notes
of two of my students there, Carol Hurwitz and Michael Maller. My
goal was to present Smale's n-Stability Theorem as completely and
compactly as possible and in such a way that the students would
have easy access to the literature. I was not confident that I
could do all this in lectures in French, so I decided to distribute
lecture notes. I wrote these notes in English and Remi Langevin
translated them into French. His work involved much more than
translation. He consistently corrected for style, clarity, and
accuracy. Albert Fathi got involved in reading the manuscript. His
role quickly expanded to extensive rewriting and writing. Fathi
wrote (5. 1) and (5. 2) and rewrote Theorem 7. 8 when I was in
despair of ever getting it right with all the details. He kept me
honest at all points and played a large role in the final form of
the manuscript. He also did the main work in getting the manuscript
ready when I had left France and Langevin was unfortunately
unavailable. I ran out of steam by the time it came to Chapter 10.
M."
General
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