The Resource Divergent Series, Summability and Resurgence I : Monodromy and Resurgence, by Claude Mitschi, David Sauzin, (electronic resource)

Divergent Series, Summability and Resurgence I : Monodromy and Resurgence, by Claude Mitschi, David Sauzin, (electronic resource)

Label
Divergent Series, Summability and Resurgence I : Monodromy and Resurgence
Title
Divergent Series, Summability and Resurgence I
Title remainder
Monodromy and Resurgence
Statement of responsibility
by Claude Mitschi, David Sauzin
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. The Riemann-Hilbert problem is discussed from Bolibrukh’s point of view. The second part expounds 1-summability and Ecalle’s theory of resurgence under fairly general conditions. It contains numerous examples and presents an analysis of the singularities in the Borel plane via “alien calculus”, which provides a full description of the Stokes phenomenon for linear or non-linear differential or difference equations. The first of a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists interested in geometric, algebraic or local analytic properties of dynamical systems. It includes useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra
Member of
http://library.link/vocab/creatorName
Mitschi, Claude
Image bit depth
0
LC call number
QA372
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Sauzin, David.
  • SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
2153
http://library.link/vocab/subjectName
  • Mathematics
  • Topological groups
  • Lie groups
  • Difference equations
  • Functional equations
  • Dynamics
  • Ergodic theory
  • Differential equations
  • Sequences (Mathematics)
  • Mathematics
  • Ordinary Differential Equations
  • Sequences, Series, Summability
  • Difference and Functional Equations
  • Dynamical Systems and Ergodic Theory
  • Topological Groups, Lie Groups
Label
Divergent Series, Summability and Resurgence I : Monodromy and Resurgence, by Claude Mitschi, David Sauzin, (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
Preface.-Preface to the three volumes -- Part I:Monodromy in Linear Differential Equations -- 1 analytic continuation and monodromy -- Differential Galois Theory -- Inverse Problems -- The Riemann-Hilbert problem -- Part II: Introduction to 1-Summability and Resurgence -- 5 Borel-Laplace Summation -- Resurgent Functions and Alien Calculus -- the Resurgent Viewpoint on Holomorphic Tangent-to-Identity Germs -- Acknowledgements -- Index
Dimensions
unknown
Extent
XXI, 298 p. 24 illus., 19 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319287362
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-28736-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-28736-2
Label
Divergent Series, Summability and Resurgence I : Monodromy and Resurgence, by Claude Mitschi, David Sauzin, (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
Preface.-Preface to the three volumes -- Part I:Monodromy in Linear Differential Equations -- 1 analytic continuation and monodromy -- Differential Galois Theory -- Inverse Problems -- The Riemann-Hilbert problem -- Part II: Introduction to 1-Summability and Resurgence -- 5 Borel-Laplace Summation -- Resurgent Functions and Alien Calculus -- the Resurgent Viewpoint on Holomorphic Tangent-to-Identity Germs -- Acknowledgements -- Index
Dimensions
unknown
Extent
XXI, 298 p. 24 illus., 19 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319287362
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-28736-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-28736-2

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