Differential Galois Theory Through Riemann-hilbert Correspondence: An Elementary Introduction. Dieser Artikel ist nicht verfügbar.Differential Galois Theory Through Riemann-hilbert Correspondence: An Elementary Introduction

Sauloy presents a textbook for a course on differential Galois theory that involves only complex analytic linear differential equations, and is not based on the general algebraic formalism of differential algebra, but on complex function theory. His overall themes are a quick introduction to complex analytic functions, complex linear differential equations and their monodromy, the Riemann-Hilbert correspondence, and differential Galois theory. Among specific topics are the complex exponential function, two basic equations and their monodromy, regular singular points and the local Riemann-Hilbert correspondence, the universal group as the pro-algebraic hull of the fundamental group, and beyond local fuschian differential Galois theory. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)

Jacques Sauloy, Institut de Mathematiques de Toulouse, France.