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Singularities of Differentiable Maps, Volume 2 (Record no. 22729)

000 -LEADER
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003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151443.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120516s2012 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780817683436
978-0-8176-8343-6
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA299.6-433
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515
Edition number 23
264 #1 -
-- Boston :
-- Birkhäuser Boston :
-- Imprint: Birkhäuser,
-- 2012.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Arnold, V.I.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Singularities of Differentiable Maps, Volume 2
Medium [electronic resource] :
Remainder of title Monodromy and Asymptotics of Integrals /
Statement of responsibility, etc by V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko.
300 ## - PHYSICAL DESCRIPTION
Extent X, 492 p. 83 illus.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Modern Birkhäuser Classics
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Part I. The topological structure of isolated critical points of functions -- Introduction -- 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 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.
520 ## - SUMMARY, ETC.
Summary, etc 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 still-relevant 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Geometry, algebraic.
Topical term or geographic name as entry element Topological Groups.
Topical term or geographic name as entry element Global analysis (Mathematics).
Topical term or geographic name as entry element Global differential geometry.
Topical term or geographic name as entry element Cell aggregation
General subdivision Mathematics.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Analysis.
Topical term or geographic name as entry element Algebraic Geometry.
Topical term or geographic name as entry element Differential Geometry.
Topical term or geographic name as entry element Topological Groups, Lie Groups.
Topical term or geographic name as entry element Manifolds and Cell Complexes (incl. Diff.Topology).
Topical term or geographic name as entry element Applications of Mathematics.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Gusein-Zade, S.M.
Relator term author.
Personal name Varchenko, A.N.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9780817683429
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-0-8176-8343-6
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-09AUM Main Library2014-04-09 2014-04-09 E-Book   AUM Main Library515
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