ENGLISH

Introduction to Complex Theory of Differential Equations

By Boris Sternin (auth.) , Anton Savin

Book information

Publisher
Birkhäuser Basel
Year
2017
ISBN
978-3-319-51743-8, 978-3-319-51744-5
DOI
10.1007/978-3-319-51744-5
Language
english
Format
PDF
Filesize
1 MB (1393281 bytes)
Series
Frontiers in Mathematics
Edition
1
Pages
IX, 138\142
Time added
2017-06-25 01:07:36
Global Analysis and Analysis on Manifolds;Partial

Description

This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complex-analytic manifolds. Although the theory of differential equations on real manifolds is well known – it is described in thousands of papers and its usefulness requires no comments or explanations – to date specialists on differential equations have not focused on the complex theory of partial differential equations. However, as well as being remarkably beautiful, this theory can be used to solve a number of problems in real theory, for instance, the Poincaré balayage problem and the mother body problem in geophysics. The monograph does not require readers to be familiar with advanced notions in complex analysis, differential equations, or topology. With its numerous examples and exercises, it appeals to advanced undergraduate and graduate students, and also to researchers wanting to familiarize themselves with the subject.

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