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Introduction to complex theory of differential equations

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 n...

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Detalles Bibliográficos
Autores principales: Savin, Anton, Sternin, Boris
Lenguaje:eng
Publicado: Springer 2017
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-51744-5
http://cds.cern.ch/record/2258716
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author Savin, Anton
Sternin, Boris
author_facet Savin, Anton
Sternin, Boris
author_sort Savin, Anton
collection CERN
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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spelling cern-22587162021-04-21T19:16:57Zdoi:10.1007/978-3-319-51744-5http://cds.cern.ch/record/2258716engSavin, AntonSternin, BorisIntroduction to complex theory of differential equationsMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:22587162017
spellingShingle Mathematical Physics and Mathematics
Savin, Anton
Sternin, Boris
Introduction to complex theory of differential equations
title Introduction to complex theory of differential equations
title_full Introduction to complex theory of differential equations
title_fullStr Introduction to complex theory of differential equations
title_full_unstemmed Introduction to complex theory of differential equations
title_short Introduction to complex theory of differential equations
title_sort introduction to complex theory of differential equations
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-51744-5
http://cds.cern.ch/record/2258716
work_keys_str_mv AT savinanton introductiontocomplextheoryofdifferentialequations
AT sterninboris introductiontocomplextheoryofdifferentialequations