书目名称 | Divergent Series, Summability and Resurgence I | 副标题 | Monodromy and Resurg | 编辑 | Claude Mitschi,David Sauzin | 视频video | | 概述 | Features an elementary, self-contained introduction to analytic differential Galois theory and the Riemann-Hilbert problem.Provides a foundation that will allow the reader to independently explore and | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. The Riemann-Hilbert problem is discussed from Bolibrukh’s point of view. . The second part expounds 1-summability and Ecalle’s theory of resurgence under fairly general conditions. It contains numerous examples and presents an analysis of the singularities in the Borel plane via “alien calculus”, which provides a full description of the Stokes phenomenon for linear or non-linear differential or difference equations. . The first of a series of three, entitled .Divergent Series, Summability and Resurgence., this volume is aimed at graduate students, mathematicians and theoretical physicists interested in geometric, algebraic or local analytic properties of dynamical systems. It includes useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra.. | 出版日期 | Book 2016 | 关键词 | 34M30,30E15,30B40,34M03,34M40,37F10,34M35; Divergent series; Resurgence; Riemann-Hilbert problem; Differ | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-28736-2 | isbn_softcover | 978-3-319-28735-5 | isbn_ebook | 978-3-319-28736-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer International Publishing Switzerland 2016 |
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