//]]>

Singularities of Differentiable Maps, Volume 1 (Record no. 22728)

000 -LEADER
fixed length control field 04476nam a22005295i 4500
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 120523s2012 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780817683405
978-0-8176-8340-5
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 1
Medium [electronic resource] :
Remainder of title Classification of Critical Points, Caustics and Wave Fronts /
Statement of responsibility, etc by V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 282 p. 67 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. Basic concepts -- The simplest examples -- The classes Sigma^ I -- The quadratic differential of a map -- The local algebra of a map and the Weierstrass preparation theorem -- The local multiplicity of a holomorphic map -- Stability and infinitesimal stability -- The proof of the stability theorem -- Versal deformations -- The classification of stable germs by genotype -- Review of further results -- Part II. Critical points of smooth functions -- A start to the classification of critical points -- Quasihomogeneous and semiquasihomogeneous singularities -- The classification of quasihomogeneous functions -- Spectral sequences for the reduction to normal forms -- Lists of singularities -- The determinator of singularities -- Real, symmetric and boundary singularities -- Part III. Singularities of caustics and wave fronts -- Lagrangian singularities -- Generating families -- Legendrian singularities -- The classification of Lagrangian and Legendrian singularities -- The bifurcation of caustics and wave fronts -- References -- Further references -- Subject Index.
520 ## - SUMMARY, ETC.
Summary, etc Originally published in the 1980s, Singularities of Differentiable Maps: The Classification of Critical Points, Caustics and Wave Fronts was the first 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. Singularity theory is a far-reaching extension of maxima and minima investigations of differentiable functions, with implications for many different areas of mathematics, engineering (catastrophe theory and the theory of bifurcations), and science.  The three parts of this first volume deal with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities.  Building on these concepts, the second volume (Monodromy and Asymptotics of Integrals) describes the topological and algebro-geometrical aspects of the theory, including monodromy, intersection forms, oscillatory integrals, asymptotics, and mixed Hodge structures of singularities. Singularities of Differentiable Maps: The Classification of Critical Points, Caustics and Wave Fronts accommodates the needs of non-mathematicians, presupposing a limited mathematical background and beginning at an elementary level.  With this foundation, the book's sophisticated development permits readers to explore an unparalleled breadth of applications.
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 9780817683399
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-0-8176-8340-5
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
Languages: 
English |
العربية