Linear Differential Equations in the Complex Domain

From Classical Theory to Forefront

AvYoshishige Haraoka

E-bok

Engelska, 2020

Del i serien Lecture Notes in Mathematics

877 kr

Läs direkt i Bokus Reader – eller ladda ned till din enhet

Fler format och utgåvor

Häftad

729 kr

Beskrivning

This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable systems, it proceeds to describe Katz theory and its applications, extending it to the case of several variables. In addition, connection problems, deformation theory, and the theory of integral representations are comprehensively covered. Complete proofs are given, offering the reader a precise account of the classical and modern theory of linear differential equations in the complex domain, including an exposition of Pfaffian systems and their monodromy problems.

The prerequisites are a course in complex analysis and the basics of differential equations, topology and differential geometry. This book will be useful for graduate students, specialists in differential equations, and for non-specialists who want to usedifferential equations.