{"product_id":"divergent-series-summability-and-resurgence-claude-mitschi-9783319287355","title":"Divergent Series, Summability and Resurgence I: Monodromy and Resurgence","description":"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. \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.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Claude Mitschi, David Sauzin\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3319287354\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783319287355\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/28\/2016\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 298\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.00lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.67d","brand":"Claude Mitschi","offers":[{"title":"Paperback","offer_id":44125954932991,"sku":"9783319287355","price":64.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_ae81e581-486e-43fb-a0b2-28e08f5d5045.jpg?v=1687445496","url":"https:\/\/www.whiterainbookhouse.com\/products\/divergent-series-summability-and-resurgence-claude-mitschi-9783319287355","provider":"WR Book House","version":"1.0","type":"link"}