Singularities of differentiable maps. Volume 2, Monodromy and asymptotics of integrals
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 b...
Kaydedildi:
| Asıl Yazarlar: | , , |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edisyon: | 1st ed. 2012. |
| Seri Bilgileri: | Modern Birkhäuser Classics
|
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Traduction de l'édition russe : "Osobennosti differentsiiruemykh otobrazhenii, Moscow : Nauka, 1984 (vol. II) Numérisation de l'édition parue en 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Singularities of differentiable maps, V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko, 1985, Boston, Birkhäuser, 2 vol. (X-382, VIII-492 p.), Monographs in mathematics, 0-8176-3187-9 • Singularities of Differentiable Maps, Volume 2, Texte imprimé, 9780817683443 |
İçindekiler:
- 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