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Titlebook: Singularities of Differentiable Maps, Volume 2; Monodromy and Asympt V.I. Arnold,S.M. Gusein-Zade,A.N. Varchenko Book 2012 Springer Science

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書目名稱Singularities of Differentiable Maps, Volume 2
副標(biāo)題Monodromy and Asympt
編輯V.I. Arnold,S.M. Gusein-Zade,A.N. Varchenko
視頻videohttp://file.papertrans.cn/868/867938/867938.mp4
概述Affordable reprint of a classic monograph written by experts in the field.Useful for a wide range of applications across disciplines in fields such as differential equations, dynamical systems, optima
叢書名稱Modern Birkh?user Classics
圖書封面Titlebook: Singularities of Differentiable Maps, Volume 2; Monodromy and Asympt V.I. Arnold,S.M. Gusein-Zade,A.N. Varchenko Book 2012 Springer Science
描述??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.
出版日期Book 2012
關(guān)鍵詞asymptotics; intersection forms; mixed Hodge structures of singularities; monodromy; oscillatory integra
版次1
doihttps://doi.org/10.1007/978-0-8176-8343-6
isbn_softcover978-0-8176-8342-9
isbn_ebook978-0-8176-8343-6Series ISSN 2197-1803 Series E-ISSN 2197-1811
issn_series 2197-1803
copyrightSpringer Science+Business Media New York 2012
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The bifurcation sets and the monodromy group of a singularityromy group...) are closely linked to such objects as the level and function bifurcation sets of the singularity, its resolution and its polar curve. Several of these links will be discussed in this chapter.
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The coefficients of series expansions of integrals, the weight and Hodge filtrations and the spectruilnor fibration ofa critical point. The function given by the integral can be expanded in a series ofpowers ofthe parameter and powers ofthe logarithm ofthe parameter ofthe family (Chapter 1O). Each coefficient ofthe series depends linearly both on the form and on the continuous family ofintegral ho
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