Divergent Series, Summability and Resurgence I: Monodromy and Resurgence

Features an elementary, self-contained introduction to analytic differential Galois theory and the Riemann-Hilbert problem Provides a foundation that will allow the reader to independently explore and understand the specialized literature in the field Focuses on 1-summability and resurgence, with a view to nonlinear problems For the first time, resurgence theory is introduced with great pedagogical care and the main proofs are given in full detail All notions are motivated and illustrated by numerous examples and applications