Borrow it
 Albert D. Cohen Management Library
 Architecture/Fine Arts Library
 Archives and Special Collections
 Bibliothèque AlfredMonnin (Université de SaintBoniface)
 Bill Larson Library (Grace Hospital)
 Carolyn Sifton  Helene Fuld Library (St. Boniface General Hospital)
 Concordia Hospital Library
 Donald W. Craik Engineering Library
 E.K. Williams Law Library
 EckhardtGramatté Music Library
 Elizabeth Dafoe Library
 Fr. H. Drake Library (St. Paul's College)
 J.W. Crane Memorial Library (Deer Lodge Centre)
 Libraries Annex (not open to the public; please see web page for details)
 Neil John Maclean Health Sciences Library
 Sciences and Technology Library
 Seven Oaks General Hospital Library
 Sister St. Odilon Library (Misericordia Health Centre)
 St. John's College Library
 Victoria General Hospital Library
 William R Newman Library (Agriculture)
The Resource Singularities of Differentiable Maps, Volume 2 : Monodromy and Asymptotics of Integrals, by Elionora Arnold, S.M. GuseinZade, Alexander N. Varchenko, (electronic resource)
Singularities of Differentiable Maps, Volume 2 : Monodromy and Asymptotics of Integrals, by Elionora Arnold, S.M. GuseinZade, Alexander N. Varchenko, (electronic resource)
Resource Information
The item Singularities of Differentiable Maps, Volume 2 : Monodromy and Asymptotics of Integrals, by Elionora Arnold, S.M. GuseinZade, Alexander N. Varchenko, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Singularities of Differentiable Maps, Volume 2 : Monodromy and Asymptotics of Integrals, by Elionora Arnold, S.M. GuseinZade, Alexander N. Varchenko, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 Originally published in the 1980s, Singularities of Differentiable Maps: Monodromy and Asymptotics of Integrals was the second of two volumes that together formed a translation of the authors' influential Russian monograph on singularity theory. This uncorrected softcover reprint of the work brings its stillrelevant content back into the literature, making it available—and affordable—to a global audience of researchers and practitioners. While the first volume of this title, subtitled Classification of Critical Points, Caustics and Wave Fronts, contained the zoology of differentiable maps—that is, was devoted to a description of what, where, and how singularities could be encountered—this second volume concentrates on elements of the anatomy and physiology of singularities of differentiable functions. The questions considered here are about the structure of singularities and how they function. In the first part the authors consider the topological structure of isolated critical points of holomorphic functions: vanishing cycles; distinguished bases; intersection matrices; monodromy groups; the variation operator; and their interconnections and method of calculation. The second part is devoted to the study of the asymptotic behavior of integrals of the method of stationary phase, which is widely met within applications. The third and last part deals with integrals evaluated over level manifolds in a neighborhood of the critical point of a holomorphic function. This monograph is suitable for mathematicians, researchers, postgraduates, and specialists in the areas of mechanics, physics, technology, and other sciences dealing with the theory of singularities of differentiable maps
 Language

 eng
 eng
 Edition
 1st ed. 2012.
 Extent
 1 online resource (499 p.)
 Note
 Description based upon print version of record
 Contents

 Part I. The topological structure of isolated critical points of functions
 Introduction
 Elements of the theory of PicardLefschetz
 The topology of the nonsingular 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 II. Oscillatory integrals
 Discussion of results
 Elementary integrals and the resolution of singularities of the phase
 Asymptotics and Newton polyhedra
 The singular index, examples
 Part III. Integrals of holomorphic forms over vanishing cycles
 The simplest properties of the integrals
 Complex oscillatory integrals
 Integrals and differential equations
 The coefficients of series expansions of integrals, the weighted 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
 References
 Subject Index
 Isbn
 9781280802614
 Label
 Singularities of Differentiable Maps, Volume 2 : Monodromy and Asymptotics of Integrals
 Title
 Singularities of Differentiable Maps, Volume 2
 Title remainder
 Monodromy and Asymptotics of Integrals
 Statement of responsibility
 by Elionora Arnold, S.M. GuseinZade, Alexander N. Varchenko
 Subject

 Algebraic Geometry
 Mathematics
 Geometry, algebraic
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Global analysis (Mathematics)
 Cell aggregation  Mathematics
 Analysis
 Differential Geometry
 Global differential geometry
 Topological Groups, Lie Groups
 Topological Groups
 Applications of Mathematics
 Language

 eng
 eng
 Summary
 Originally published in the 1980s, Singularities of Differentiable Maps: Monodromy and Asymptotics of Integrals was the second of two volumes that together formed a translation of the authors' influential Russian monograph on singularity theory. This uncorrected softcover reprint of the work brings its stillrelevant content back into the literature, making it available—and affordable—to a global audience of researchers and practitioners. While the first volume of this title, subtitled Classification of Critical Points, Caustics and Wave Fronts, contained the zoology of differentiable maps—that is, was devoted to a description of what, where, and how singularities could be encountered—this second volume concentrates on elements of the anatomy and physiology of singularities of differentiable functions. The questions considered here are about the structure of singularities and how they function. In the first part the authors consider the topological structure of isolated critical points of holomorphic functions: vanishing cycles; distinguished bases; intersection matrices; monodromy groups; the variation operator; and their interconnections and method of calculation. The second part is devoted to the study of the asymptotic behavior of integrals of the method of stationary phase, which is widely met within applications. The third and last part deals with integrals evaluated over level manifolds in a neighborhood of the critical point of a holomorphic function. This monograph is suitable for mathematicians, researchers, postgraduates, and specialists in the areas of mechanics, physics, technology, and other sciences dealing with the theory of singularities of differentiable maps
 http://library.link/vocab/creatorName
 Arnold, Elionora
 Dewey number
 515
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 czQg3ehb_Pc
 VU_Hnmw4xO0
 rA_rbn76xgs
 Language note
 English
 LC call number
 QA299.6433
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 GuseinZade, S.M.
 Varchenko, Alexander N.
 Series statement
 Modern Birkhäuser Classics,
 http://library.link/vocab/subjectName

 Global analysis (Mathematics)
 Geometry, algebraic
 Global differential geometry
 Topological Groups
 Cell aggregation
 Mathematics
 Analysis
 Algebraic Geometry
 Differential Geometry
 Topological Groups, Lie Groups
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Applications of Mathematics
 Label
 Singularities of Differentiable Maps, Volume 2 : Monodromy and Asymptotics of Integrals, by Elionora Arnold, S.M. GuseinZade, Alexander N. Varchenko, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Part I. The topological structure of isolated critical points of functions  Introduction  Elements of the theory of PicardLefschetz  The topology of the nonsingular 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 II. Oscillatory integrals  Discussion of results  Elementary integrals and the resolution of singularities of the phase  Asymptotics and Newton polyhedra  The singular index, examples  Part III. Integrals of holomorphic forms over vanishing cycles  The simplest properties of the integrals  Complex oscillatory integrals  Integrals and differential equations  The coefficients of series expansions of integrals, the weighted 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  References  Subject Index
 Dimensions
 unknown
 Edition
 1st ed. 2012.
 Extent
 1 online resource (499 p.)
 Form of item
 online
 Isbn
 9781280802614
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9780817683436
 Specific material designation
 remote
 System control number

 (CKB)2550000000100663
 (EBL)973763
 (OCoLC)801364329
 (SSID)ssj0000682213
 (PQKBManifestationID)11406186
 (PQKBTitleCode)TC0000682213
 (PQKBWorkID)10678289
 (PQKB)11319022
 (DEHe213)9780817683436
 (MiAaPQ)EBC973763
 (EXLCZ)992550000000100663
 Label
 Singularities of Differentiable Maps, Volume 2 : Monodromy and Asymptotics of Integrals, by Elionora Arnold, S.M. GuseinZade, Alexander N. Varchenko, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Part I. The topological structure of isolated critical points of functions  Introduction  Elements of the theory of PicardLefschetz  The topology of the nonsingular 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 II. Oscillatory integrals  Discussion of results  Elementary integrals and the resolution of singularities of the phase  Asymptotics and Newton polyhedra  The singular index, examples  Part III. Integrals of holomorphic forms over vanishing cycles  The simplest properties of the integrals  Complex oscillatory integrals  Integrals and differential equations  The coefficients of series expansions of integrals, the weighted 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  References  Subject Index
 Dimensions
 unknown
 Edition
 1st ed. 2012.
 Extent
 1 online resource (499 p.)
 Form of item
 online
 Isbn
 9781280802614
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9780817683436
 Specific material designation
 remote
 System control number

 (CKB)2550000000100663
 (EBL)973763
 (OCoLC)801364329
 (SSID)ssj0000682213
 (PQKBManifestationID)11406186
 (PQKBTitleCode)TC0000682213
 (PQKBWorkID)10678289
 (PQKB)11319022
 (DEHe213)9780817683436
 (MiAaPQ)EBC973763
 (EXLCZ)992550000000100663
Subject
 Algebraic Geometry
 Analysis
 Applications of Mathematics
 Cell aggregation  Mathematics
 Differential Geometry
 Geometry, algebraic
 Global analysis (Mathematics)
 Global differential geometry
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Mathematics
 Topological Groups
 Topological Groups, Lie Groups
Member of
Library Locations

Albert D. Cohen Management LibraryBorrow it181 Freedman Crescent, Winnipeg, MB, R3T 5V4, CA49.807878 97.129961


Archives and Special CollectionsBorrow it25 Chancellors Circle (Elizabeth Dafoe Library), Room 330, Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Bibliothèque AlfredMonnin (Université de SaintBoniface)Borrow it200, avenue de la Cathédrale, Local 2110, Winnipeg, MB, R2H 0H7, CA49.888861 97.119735

Bill Larson Library (Grace Hospital)Borrow it300 Booth Drive, G227, Winnipeg, MB, R3J 3M7, CA49.882400 97.276436

Carolyn Sifton  Helene Fuld Library (St. Boniface General Hospital)Borrow it409 Tache Avenue, Winnipeg, MB, R2H 2A6, CA49.883388 97.126050

Concordia Hospital LibraryBorrow it1095 Concordia Avenue, Winnipeg, MB, R2K 3S8, CA49.913252 97.064683

Donald W. Craik Engineering LibraryBorrow it75B Chancellors Circle (Engineering Building E3), Room 361, Winnipeg, MB, R3T 2N2, CA49.809053 97.133292


EckhardtGramatté Music LibraryBorrow it136 Dafoe Road (Taché Arts Complex), Room 257, Winnipeg, MB, R3T 2N2, CA49.807964 97.132222

Elizabeth Dafoe LibraryBorrow it25 Chancellors Circle, Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Fr. H. Drake Library (St. Paul's College)Borrow it70 Dysart Road, Winnipeg, MB, R3T 2M6, CA49.810605 97.138184

J.W. Crane Memorial Library (Deer Lodge Centre)Borrow it2109 Portage Avenue, Winnipeg, MB, R3J 0L3, CA49.878000 97.235520

Libraries Annex (not open to the public; please see web page for details)Borrow it25 Chancellors Circle (in the Elizabeth Dafoe Library), Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Neil John Maclean Health Sciences LibraryBorrow it727 McDermot Avenue (Brodie Centre), 200 Level, Winnipeg, MB, R3E 3P5, CA49.903563 97.160554

Sciences and Technology LibraryBorrow it186 Dysart Road, Winnipeg, MB, R3T 2M8, CA49.811526 97.133257

Seven Oaks General Hospital LibraryBorrow it2300 McPhillips Street, Winnipeg, MB, R2V 3M3, CA49.955177 97.148865

Sister St. Odilon Library (Misericordia Health Centre)Borrow it99 Cornish Avenue, Winnipeg, MB, R3C 1A2, CA49.879592 97.160425


Victoria General Hospital LibraryBorrow it2340 Pembina Highway, Winnipeg, MB, R3T 2E8, CA49.806755 97.152739

William R Newman Library (Agriculture)Borrow it66 Dafoe Road, Winnipeg, MB, R3T 2R3, CA49.806936 97.135525
Library Links
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/SingularitiesofDifferentiableMapsVolume2/rB8j0yGc5W0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/SingularitiesofDifferentiableMapsVolume2/rB8j0yGc5W0/">Singularities of Differentiable Maps, Volume 2 : Monodromy and Asymptotics of Integrals, by Elionora Arnold, S.M. GuseinZade, Alexander N. Varchenko, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Singularities of Differentiable Maps, Volume 2 : Monodromy and Asymptotics of Integrals, by Elionora Arnold, S.M. GuseinZade, Alexander N. Varchenko, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/SingularitiesofDifferentiableMapsVolume2/rB8j0yGc5W0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/SingularitiesofDifferentiableMapsVolume2/rB8j0yGc5W0/">Singularities of Differentiable Maps, Volume 2 : Monodromy and Asymptotics of Integrals, by Elionora Arnold, S.M. GuseinZade, Alexander N. Varchenko, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>