Singularities of differentiable maps. V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko. Volume 2, Monodromy and asymptotics of integrals /
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| Main Authors: | , |
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| Format: | Ebook |
| Language: | English Russian |
| Published: |
New York :
Birkhäuser,
[2012]
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| Series: | Modern Birkhäuser classics.
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| Subjects: | |
| Online Access: | Springer eBooks |
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| 100 | 1 | |a Arnolʹd, V. I. |q (Vladimir Igorevich), |d 1937-2010. |9 248050 | |
| 240 | 1 | 0 | |a Osobennosti differentsiruemykh otobrazhenii. |l English |
| 245 | 1 | 0 | |a Singularities of differentiable maps. |n Volume 2, |p Monodromy and asymptotics of integrals / |c V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko. |
| 246 | 1 | 0 | |a Monodromy and asymptotics of integrals |
| 264 | 1 | |a New York : |b Birkhäuser, |c [2012] | |
| 264 | 4 | |c ©2012 | |
| 300 | |a 1 online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Modern Birkhäuser classics | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |g Part 1. |t The Topological Structure of Isolated Critical Points of Functions -- |t Elements of the theory of Picard-Lefschetz -- |t The topology of the non-singular level set and the variation operator of a singularity -- |t The bifurcation sets and the monodromy group of a singularity -- |t The intersection matrices of singularities of functions of two variables -- |t The intersection forms of boundary singularities and the topology of complete intersections -- |g Part 2. |t Oscillatory Integrals -- |t Discussion of results -- |t Elementary integrals and the resolution of singularities of the phase -- |t Asymptotics and Newton polyhedra -- |t The singular index, examples -- |g Part 3. |t Integrals of Holomorphic forms over Vanishing cycles -- |t The simplest properties of the integrals -- |t Complex oscillatory integrals -- |t Integrals and differential equations -- |t The coefficients of series expansions of integrals, the weight and Hodge filtrations and the spectrum of a critical point -- |t The mixed Hodge structure of an isolated critical point of a holomorphic function -- |t The period map and the intersection form. |
| 538 | |a Mode of access: World Wide Web. | ||
| 588 | |a Machine converted from AACR2 source record. | ||
| 650 | 0 | |a Differentiable mappings |9 381633 | |
| 650 | 0 | |a Singularities (Mathematics) |9 331387 | |
| 700 | 1 | |a Guseĭn-Zade, S. M. |q (Sabir Medzhidovich) |9 509275 | |
| 700 | 1 | |a Varchenko, A. N. |q (Aleksandr Nikolaevich) |e author. |9 509276 | |
| 776 | 0 | 8 | |i Printed edition: |z 9780817683429 |
| 830 | 0 | |a Modern Birkhäuser classics. |9 860402 | |
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