# Singularities of Differentiable Maps: Volume II Monodromy and Asymptotic Integrals (Monographs in Mathematics) (Vol 2) ePub download

## by V.I. Arnold,A.N. Varchenko,S.M. Gusein-Zade

**Author:**V.I. Arnold,A.N. Varchenko,S.M. Gusein-Zade**ISBN:**0817631852**ISBN13:**978-0817631857**ePub:**1688 kb |**FB2:**1625 kb**Language:**English**Category:**Mathematics**Publisher:**Birkhäuser; 1988 edition (October 1, 1988)**Pages:**492**Rating:**4.7/5**Votes:**636**Format:**mbr mobi mobi docx

volume is the second volume of the book "Singularities of Differentiable Maps" by . Arnold, A. N. Varchenko and S. M. Gusein-Zade.

volume is the second volume of the book "Singularities of Differentiable Maps" by . The first volume, subtitled "Classification of critical points, caustics and wave fronts", was published by Moscow, "Nauka", in 1982.

Singularities of Differentiable Maps. Monographs in Mathematics. See any care plans, options and policies that may be associated with this product. Electrode, App-product, Comp-283036184, DC-prod-dfw8, ENV-prod-a, PROF-PROD, VER-29.

Singularities of differentiable maps by Arnolʹd, V. . Monodromy and asymptotic integrals (Monographs in Mathematics). by Arnolʹd, V. Published October 1, 1988 by Birkhauser.

I. Arnold, S. Gusein-Zade, and A. Varchenko. Part II. Oscillatory integrals. Discussion of results. The coefficients of series expansions of integrals, the weighted and Hodge filtrations and the spectrum of a critical point

I. Publisher: Birkhäuser. 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. 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.

Singularities of Differentiable Maps (Monographs in Mathematics). Singularities of differentiable maps. Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts. Topology of Singular Fibers of Differentiable Maps. The classification of critical points caustics and wave fronts. Asymptotics of integrals (2007)(en)(9s).

¿¿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.

from the Russian by Hugh Porteous and revised by the authors and James Montaldi.

Varchenko introduced the asymptotic mixed Hodge structure on the cohomology, vanishing at a critical point of a function, by.Arnolʹd, V. Guseĭn-Zade, S. Varchenko, A.

Varchenko introduced the asymptotic mixed Hodge structure on the cohomology, vanishing at a critical point of a function, by studying asymptotics of integrals of holomorphic differential forms over families of vanishing cycles. Such an integral depends on the parameter – the value of the function. The integral has two properties: how fast it tends to zero, when the parameter tends to the critical value, and how the integral changes, when the parameter goes around the critical value. Vol. I. The classification of critical points, caustics and wave fronts.

Volume II Monodromy and Asymptotic Integrals. volume is the second volume of the book "Singularities of Differentiable Maps" by . The first volume, subtitled "Classification of critical points, caustics and wave fronts", wa. 985 Book. Volume I: The Classification of Critical Points Caustics and Wave Fronts. there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science.