书目名称 | Linear Differential Equations in the Complex Domain |
副标题 | From Classical Theor |
编辑 | Yoshishige Haraoka |
视频video | |
概述 | Presents the first systematic account of the classical and modern theory of complex linear differential equations, covering results previously scattered throughout the literature.Gives a clear introdu |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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.. . |
出版日期 | Book 2020 |
关键词 | Differential Equations; Integrable Systems; Middle Convolution; Monodromy; Rigidity |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-54663-2 |
isbn_softcover | 978-3-030-54662-5 |
isbn_ebook | 978-3-030-54663-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |