The Resource The monodromy group, Henryk Żołądek, (electronic book)
The monodromy group, Henryk Żołądek, (electronic book)
Resource Information
The item The monodromy group, Henryk Żołądek, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item The monodromy group, Henryk Żołądek, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 In singularity theory and algebraic geometry the monodromy group is embodied in the PicardLefschetz formula and the PicardFuchs 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 RiemannHilbert problem, the Stokes phenomena and the hypergeometric functions with their multidimensional generalizations. In the theory of homomorphic foliations there appear the EcalleVoroninMartinetRamis 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
 Language
 eng
 Extent
 1 online resource (xi, 580 pages)
 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
 Isbn
 9783764375362
 Label
 The monodromy group
 Title
 The monodromy group
 Statement of responsibility
 Henryk Żołądek
 Language
 eng
 Summary
 In singularity theory and algebraic geometry the monodromy group is embodied in the PicardLefschetz formula and the PicardFuchs 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 RiemannHilbert problem, the Stokes phenomena and the hypergeometric functions with their multidimensional generalizations. In the theory of homomorphic foliations there appear the EcalleVoroninMartinetRamis 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
 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
 RiemannHilbert problems
 Mathematics
 Label
 The monodromy group, Henryk Żołądek, (electronic book)
 Bibliography note
 Includes bibliographical references (pages 537557) 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)
 Bibliography note
 Includes bibliographical references (pages 537557) 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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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/ThemonodromygroupHenryk%C5%BBo%C5%82%C4%85dekelectronic/KPTGKY_Tmtg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/ThemonodromygroupHenryk%C5%BBo%C5%82%C4%85dekelectronic/KPTGKY_Tmtg/">The monodromy group, Henryk Żołądek, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>