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Lecture Notes in Mathematics

Linear Differential Equations in the Complex Domain

From Classical Theory to Forefront

Authors: Haraoka, Yoshishige

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  • 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 introduction to advanced (non-standard) topics and recent developments in the theory Offers a detailed presentation with many examples and full proofs, making it accessible to graduate students and non-specialists Provides motivation and historical background for each topic covered

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  • ISBN 978-3-030-54663-2
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About this book

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. 

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook $54.99
price for USA in USD
  • ISBN 978-3-030-54663-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Linear Differential Equations in the Complex Domain
Book Subtitle
From Classical Theory to Forefront
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2271
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-54663-2
DOI
10.1007/978-3-030-54663-2
Softcover ISBN
978-3-030-54662-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIII, 396
Number of Illustrations
47 b/w illustrations
Topics