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SINGULARITIES OF DIFFERENTIABLE MAPS, VOLUME 2: MONODROMY By Elionora Arnold & S
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Numero oggetto eBay:187422801869
Specifiche dell'oggetto
- Condizione
- ISBN-10
- 0817683429
- Book Title
- Singularities of Differentiable Maps, Volume 2: Monodromy and
- ISBN
- 9780817683429
Informazioni su questo prodotto
Product Identifiers
Publisher
Birkhäuser Boston
ISBN-10
0817683429
ISBN-13
9780817683429
eBay Product ID (ePID)
114172418
Product Key Features
Number of Pages
X, 492 Pages
Publication Name
Singularities of Differentiable Maps, Volume 2 : Monodromy and Asymptotics of Integrals
Language
English
Publication Year
2012
Subject
Geometry / Differential, Geometry / Algebraic, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Series
Modern Birkhäuser Classics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.4 in
Item Weight
27 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
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.
Synopsis
The present volume is the second in a two-volume set entitled Singularities of Differentiable Maps . While the first volume, subtitled Classification of Critical Points and originally published as Volume 82 in the Monographs in Mathematics series, contained the zoology of differentiable maps, that is, it 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 are about the structure of singularities and how they function., This reprint covers anatomy and physiology of singularities of differentiable functions. Includes the topological structure of isolated critical points of holomorphic functions, the asymptotic behavior of integrals of the method of stationary phase, and more.
LC Classification Number
QA299.6-433
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