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)
Resource Information
The item Introduction to Complex Theory of Differential Equations, by Anton Savin, Boris Sternin, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Introduction to Complex Theory of Differential Equations, by Anton Savin, Boris Sternin, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complexanalytic 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.
 Language
 eng
 Extent
 1 online resource (IX, 138 pages)
 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
 Isbn
 9783319517445
 Label
 Introduction to Complex Theory of Differential Equations
 Title
 Introduction to Complex Theory of Differential Equations
 Statement of responsibility
 by Anton Savin, Boris Sternin
 Language
 eng
 Summary
 This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complexanalytic 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.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Savin, Anton
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Sternin, Boris.
 Series statement

 Springer eBooks
 Frontiers in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Geophysics
 Global analysis (Mathematics)
 Manifolds (Mathematics)
 Partial differential equations
 Functions of complex variables
 Label
 Introduction to Complex Theory of Differential Equations, by Anton Savin, Boris Sternin, (electronic resource)
 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
 Control code
 9783319517445
 Dimensions
 unknown
 Extent
 1 online resource (IX, 138 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319517445
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319517445
 Other physical details
 43 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)982105298
 Label
 Introduction to Complex Theory of Differential Equations, by Anton Savin, Boris Sternin, (electronic resource)
 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
 Control code
 9783319517445
 Dimensions
 unknown
 Extent
 1 online resource (IX, 138 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319517445
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319517445
 Other physical details
 43 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)982105298
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/IntroductiontoComplexTheoryofDifferential/7lBCCDAwmUw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/IntroductiontoComplexTheoryofDifferential/7lBCCDAwmUw/">Introduction to Complex Theory of Differential Equations, by Anton Savin, Boris Sternin, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>