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

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

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 book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlev�

With a balanced combination of longer survey articles and shorter, peer-reviewed research-level presentations on the topic of differential and difference equati