ABE-IPSABE HOLDINGABE BOOKS
English Polski
On-line access

Bookstore

0.00 PLN
Bookshelf (0) 
Your bookshelf is empty
Linear Differential Equations in the Complex Domain: From Classical Theory to Forefront

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

Authors
Publisher Springer, Berlin
Year
Pages 396
Version paperback
Language English
ISBN 9783030546625
Categories Differential calculus & equations
$104.40 (with VAT)
464.10 PLN / €99.50 / £86.38
Delivery to United States

check shipping prices
Forthcoming
Would you like to be informed when the book becomes available? Please provide your e-mail address and you will be the first to know:
Email
  Send
Add to bookshelf

Book 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. 

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

Table of contents

- Introduction. - Part I Ordinary Differential Equations. - Scalar Differential Equations and Systems of Differential Equations. - Analysis at a Regular Point. - Regular Singular Points. - Monodromy. - Connection Problem. - Fuchsian Differential Equations. - Deformation Theory. - Integral Representations of Solutions of Euler Type. - Irregular Singular Points. - Part II Completely Integrable Systems. - Linear Pfaffian Systems and Integrability Condition. - Regular Singularity. - Monodromy Representations. - Middle Convolution.

We also recommend books

Strony www Białystok Warszawa
801 777 223