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Linear Differential Equations in the Complex Domain : From Classical Theory to Forefront / by Yoshishige Haraoka.
- Format:
- Book
- Author/Creator:
- Haraoka, Yoshishige, Author.
- Series:
- Mathematics and Statistics (SpringerNature-11649)
- Lecture Notes in Mathematics, 1617-9692 ; 2271
- Language:
- English
- Subjects (All):
- Differential equations.
- Functions of complex variables.
- Functions, Special.
- Global analysis (Mathematics).
- Manifolds (Mathematics).
- Differential Equations.
- Functions of a Complex Variable.
- Special Functions.
- Global Analysis and Analysis on Manifolds.
- Local Subjects:
- Differential Equations.
- Functions of a Complex Variable.
- Special Functions.
- Global Analysis and Analysis on Manifolds.
- Physical Description:
- 1 online resource (XIII, 396 pages) : 47 illustrations
- Edition:
- 1st ed. 2020.
- Contained In:
- Springer Nature eBook
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2020.
- System Details:
- text file PDF
- Summary:
- 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. .
- Other Format:
- Printed edition:
- ISBN:
- 978-3-030-54663-2
- 9783030546632
- Access Restriction:
- Restricted for use by site license.
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