ENGLISH

Linear Differential Equations in the Complex Domain: From Classical Theory to Forefront

By Yoshishige Haraoka

Book information

Publisher
Springer International Publishing;Springer
Year
2020
ISBN
9783030546625, 9783030546632
DOI
10.1007/978-3-030-54663-2
Language
english
Format
PDF
Filesize
5 MB (5311255 bytes)
Series
Lecture Notes in Mathematics 2271
Edition
1st ed.
Pages
XIII, 396\398
Time added
2021-01-06 05:41:07
Mathematics; Analysis; Functions of a Complex Vari

Description

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 use differential equations.

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