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Introduction to complex theory of di...

Savin, Anton.

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Introduction to complex theory of differential equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to complex theory of differential equations/ by 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.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Differential equations. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-51744-5
ISBN:	9783319517445

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

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

517952
Differential equations.

LC Class. No.: QA371 / .S38 2017

Dewey Class. No.: 515.35

Introduction to complex theory of differential equations
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100 1 $a Savin, Anton. $3 3227437
245 1 0 $a Introduction to complex theory of differential equations $h [electronic resource] / $c by Anton Savin, Boris Sternin.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2017.
300 $a ix, 138 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Differential equations. $3 517952
650 0 $a Complex manifolds. $3 660495
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 891107
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 893953
650 2 4 $a Geophysics/Geodesy. $3 891016
700 1 $a Sternin, Boris. $3 718333
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Frontiers in mathematics. $3 1535268
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-51744-5
950 $a Mathematics and Statistics (Springer-11649)