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The Resource Singularities of differentiable maps, Volume 2, Monodromy and asymptotics of integrals, V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko

Singularities of differentiable maps, Volume 2, Monodromy and asymptotics of integrals, V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko

Work
Publication
Extent
1 online resource.
Contents
  • Oscillatory Integrals
  • Discussion of results
  • Elementary integrals and the resolution of singularities of the phase
  • Asymptotics and Newton polyhedra
  • The singular index, examples
  • Part 3.
  • Integrals of Holomorphic forms over Vanishing cycles
  • The simplest properties of the integrals
  • Complex oscillatory integrals
  • Integrals and differential equations
  • Part 1.
  • The coefficients of series expansions of integrals, the weight and Hodge filtrations and the spectrum of a critical point
  • The mixed Hodge structure of an isolated critical point of a holomorphic function
  • The period map and the intersection form
  • The Topological Structure of Isolated Critical Points of Functions
  • Elements of the theory of Picard-Lefschetz
  • The topology of the non-singular level set and the variation operator of a singularity
  • The bifurcation sets and the monodromy group of a singularity
  • The intersection matrices of singularities of functions of two variables
  • The intersection forms of boundary singularities and the topology of complete intersections
  • Part 2.
Isbn
9780817683429
Instance
Label
Singularities of differentiable maps, Volume 2, Monodromy and asymptotics of integrals
Title
Singularities of differentiable maps
Title number
Volume 2
Title part
Monodromy and asymptotics of integrals
Statement of responsibility
V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko
Title variation
Monodromy and asymptotics of integrals
Creator
Contributor
Subject
Language
  • eng
  • rus
  • eng
Summary
Annotation
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1937-2010
http://library.link/vocab/creatorName
Arnolʹd, V. I.
Dewey number
514/.72
Index
index present
LC call number
QA613.64
LC item number
.A76 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Guseĭn-Zade, S. M.
  • Varchenko, A. N.
Series statement
Modern Birkhäuser classics
http://library.link/vocab/subjectName
  • Differentiable mappings
  • Singularities (Mathematics)
  • Mathematical Concepts
  • Mathematics
  • Differentiable mappings
  • Singularities (Mathematics)
Summary expansion
The present volume is the second in a two-volume set entitled Singularities of Differentiable Maps. While the first volume, subtitled Classification of Critical Points and originallypublishedas Volume82 in the Monographs in Mathematics series, contained the zoology of differentiable maps, that is, it was devoted to a description of what, where, and how singularities could be encountered, this second volume concentrates on elements of theanatomy and physiology of singularities of differentiable functions. The questions considered are about the structure of singularities and how they function
Label
Singularities of differentiable maps, Volume 2, Monodromy and asymptotics of integrals, V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Oscillatory Integrals
  • Discussion of results
  • Elementary integrals and the resolution of singularities of the phase
  • Asymptotics and Newton polyhedra
  • The singular index, examples
  • Part 3.
  • Integrals of Holomorphic forms over Vanishing cycles
  • The simplest properties of the integrals
  • Complex oscillatory integrals
  • Integrals and differential equations
  • Part 1.
  • The coefficients of series expansions of integrals, the weight and Hodge filtrations and the spectrum of a critical point
  • The mixed Hodge structure of an isolated critical point of a holomorphic function
  • The period map and the intersection form
  • The Topological Structure of Isolated Critical Points of Functions
  • Elements of the theory of Picard-Lefschetz
  • The topology of the non-singular level set and the variation operator of a singularity
  • The bifurcation sets and the monodromy group of a singularity
  • The intersection matrices of singularities of functions of two variables
  • The intersection forms of boundary singularities and the topology of complete intersections
  • Part 2.
Control code
794177587
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9780817683429
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-8343-6
http://library.link/vocab/ext/overdrive/overdriveId
371096
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)794177587
Label
Singularities of differentiable maps, Volume 2, Monodromy and asymptotics of integrals, V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Oscillatory Integrals
  • Discussion of results
  • Elementary integrals and the resolution of singularities of the phase
  • Asymptotics and Newton polyhedra
  • The singular index, examples
  • Part 3.
  • Integrals of Holomorphic forms over Vanishing cycles
  • The simplest properties of the integrals
  • Complex oscillatory integrals
  • Integrals and differential equations
  • Part 1.
  • The coefficients of series expansions of integrals, the weight and Hodge filtrations and the spectrum of a critical point
  • The mixed Hodge structure of an isolated critical point of a holomorphic function
  • The period map and the intersection form
  • The Topological Structure of Isolated Critical Points of Functions
  • Elements of the theory of Picard-Lefschetz
  • The topology of the non-singular level set and the variation operator of a singularity
  • The bifurcation sets and the monodromy group of a singularity
  • The intersection matrices of singularities of functions of two variables
  • The intersection forms of boundary singularities and the topology of complete intersections
  • Part 2.
Control code
794177587
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9780817683429
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-8343-6
http://library.link/vocab/ext/overdrive/overdriveId
371096
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)794177587

Subject

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