Coverart for item
The Resource The monodromy group, Henryk Żołądek, (electronic book)

The monodromy group, Henryk Żołądek, (electronic book)

Label
The monodromy group
Title
The monodromy group
Statement of responsibility
Henryk Żołądek
Creator
Subject
Language
eng
Summary
In singularity theory and algebraic geometry the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. In the theory of systems of linear differential equations one has the Riemann-Hilbert problem, the Stokes phenomena and the hypergeometric functions with their multidimensional generalizations. In the theory of homomorphic foliations there appear the Ecalle-Voronin-Martinet-Ramis moduli. On the other hand, there is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. All this is presented in this book, underlining the unifying role of the monodromy group. The material is addressed to a wide audience, ranging from specialists in the theory of ordinary differential equations to algebraic geometers. The book contains a lot of results which are usually spread in many sources. Readers can quickly get introduced to modern and vital mathematical theories, such as singularity theory, analytic theory of ordinary differential equations, holomorphic foliations, Galois theory, and parts of algebraic geometry, without searching in vast literature
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1953-
http://library.link/vocab/creatorName
Żoład̜ek, Henryk
Dewey number
512.7/3
Illustrations
illustrations
Index
index present
LC call number
QA246
LC item number
.Z65 2006eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Monografie matematyczne
Series volume
new ser., v. 67
http://library.link/vocab/subjectName
  • Monodromy groups
  • Riemann-Hilbert problems
  • Mathematics
Label
The monodromy group, Henryk Żołądek, (electronic book)
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 537-557) 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
Analytic functions and Morse theory -- Normal forms of functions -- Algebraic topology of manifolds -- Topology and monodromy of functions -- Integrals along vanishing cycles -- Vector fields and Abelian integrals -- Hodge structures and period map -- Linear differential systems -- Holomorphic foliations, local theory -- Holomorphic foliations, global aspects -- The Galois theory -- Hypergeometric functions
Control code
SPR262694378
Dimensions
unknown
Extent
1 online resource (xi, 580 pages)
Form of item
online
Isbn
9783764375362
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
Label
The monodromy group, Henryk Żołądek, (electronic book)
Publication
Bibliography note
Includes bibliographical references (pages 537-557) 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
Analytic functions and Morse theory -- Normal forms of functions -- Algebraic topology of manifolds -- Topology and monodromy of functions -- Integrals along vanishing cycles -- Vector fields and Abelian integrals -- Hodge structures and period map -- Linear differential systems -- Holomorphic foliations, local theory -- Holomorphic foliations, global aspects -- The Galois theory -- Hypergeometric functions
Control code
SPR262694378
Dimensions
unknown
Extent
1 online resource (xi, 580 pages)
Form of item
online
Isbn
9783764375362
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote

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