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Introduction to complex theory of di...

Savin, Anton.

Introduction to complex theory of differential equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to complex theory of differential equationsby Anton Savin, Boris Sternin.
Author:	Savin, Anton.
other author:	Sternin, Boris.
Published:	Cham :Springer International Publishing :2017.
Description:	ix, 138 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-51744-5
ISBN:	9783319517445$q(electronic bk.)

Introduction to complex theory of differential equations
Savin, Anton.

Introduction to complex theory of differential equations[electronic resource] /by Anton Savin, Boris Sternin. - Cham :Springer International Publishing :2017. - ix, 138 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8046. - Frontiers in mathematics..

Leray residues -- Ramied integrals -- Asymptotics of ramied integrals -- Ramied Fourier transform -- Properties of ramied Fourier transform -- The Cauchy problem for equations with constant coefficients -- Singularities of the solution of Cauchy problem -- The Cauchy problem for equations with variable coefficients. Leray's uniformization -- Balayage inwards problem -- Mother body problem -- Hints for exercises.

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.

ISBN: 9783319517445$q(electronic bk.)

Standard No.: 10.1007/978-3-319-51744-5doiSubjects--Topical Terms:

183925
Differential equations.

LC Class. No.: QA371 / .S38 2017

Dewey Class. No.: 515.35

Introduction to complex theory of differential equations
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245 1 0 $a Introduction to complex theory of differential equations $h [electronic resource] / $c by Anton Savin, Boris Sternin.
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490 1 $a Frontiers in mathematics, $x 1660-8046
505 0 $a Leray residues -- Ramied integrals -- Asymptotics of ramied integrals -- Ramied Fourier transform -- Properties of ramied Fourier transform -- The Cauchy problem for equations with constant coefficients -- Singularities of the solution of Cauchy problem -- The Cauchy problem for equations with variable coefficients. Leray's uniformization -- Balayage inwards problem -- Mother body problem -- Hints for exercises.
520 $a 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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650 2 4 $a Geophysics/Geodesy. $3 274000
700 1 $a Sternin, Boris. $3 677382
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856 4 0 $u http://dx.doi.org/10.1007/978-3-319-51744-5
950 $a Mathematics and Statistics (Springer-11649)