The Resource Introduction to Complex Theory of Differential Equations, by Anton Savin, Boris Sternin, (electronic resource)

Introduction to Complex Theory of Differential Equations, by Anton Savin, Boris Sternin, (electronic resource)

Label
Introduction to Complex Theory of Differential Equations
Title
Introduction to Complex Theory of Differential Equations
Statement of responsibility
by Anton Savin, Boris Sternin
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Savin, Anton
Image bit depth
0
LC call number
QA614-614.97
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Sternin, Boris.
  • SpringerLink
Series statement
Frontiers in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Geophysics
  • Global analysis (Mathematics)
  • Manifolds (Mathematics)
  • Differential equations, Partial
  • Functions of complex variables
  • Mathematics
  • Global Analysis and Analysis on Manifolds
  • Partial Differential Equations
  • Several Complex Variables and Analytic Spaces
  • Geophysics/Geodesy
Label
Introduction to Complex Theory of Differential Equations, by Anton Savin, Boris Sternin, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
IX, 138 p. 43 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319517445
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-51744-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-51744-5
Label
Introduction to Complex Theory of Differential Equations, by Anton Savin, Boris Sternin, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
IX, 138 p. 43 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319517445
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-51744-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-51744-5

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