{"product_id":"9783319287355","title":"Lecture Notes in Mathematics: Monodromy and Resurgence","description":"\u003ch1\u003eLecture Notes in Mathematics: Monodromy and Resurgence\u003c\/h1\u003e \u003ch2\u003eMitschi, Claude; Sauzin, David\u003c\/h2\u003e \u003cp\u003eProviding 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. \u003cbr\u003e 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. \u003cbr\u003e The first of a series of three, entitled \u003ci\u003eDivergent Series, Summability and Resurgence\u003c\/i\u003e, 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.\u003c\/p\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2016-08-28\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319287355\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-28736-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 298\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45369830703244,"sku":"9783319287355","price":58.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319287355.jpg?v=1775675567","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319287355","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}