Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study o

Addressing the question how to “sum” a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answ

The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this

This three-volume work treats divergent series in one variable, especially those arising as solutions to complex ordinary differential or difference equations,