The aim of this volume is two-fold. First to show howthe resurgent methods introduced in
volume 1 can be applied efficiently in anon-linear setting to this end further properties of
the resurgence theorymust be developed. Second to analyze the fundamental example of the
FirstPainlevé equation. The resurgent analysis of singularities is pushed all theway up to the
so-called bridge equation which concentrates allinformation about the non-linear Stokes
phenomenon at infinity of the First Painlevéequation. The third in a series of three entitled
Divergent Series Summability andResurgence this volume is aimed at graduate students
mathematicians andtheoretical physicists who are interested in divergent power series and
relatedproblems such as the Stokes phenomenon. The prerequisites are a workingknowledge of
complex analysis at the first-year graduate level and of thetheory of resurgence as presented
in volume 1.
