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Introduction to Complex Theory of Differential Equations

Frontiers in Mathematics

By (author) Anton Savin, Boris Sternin
Format: Paperback / softback
Publisher: Birkhauser Verlag AG, Basel, Switzerland
Published: 5th Apr 2017
Dimensions: w 170mm h 244mm d 8mm
Weight: 252g
ISBN-10: 3319517430
ISBN-13: 9783319517438
Barcode No: 9783319517438
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Synopsis
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 Poincare 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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