{"product_id":"9783319290744","title":"Lecture Notes in Mathematics: Simple and Multiple Summability","description":"\u003ch1\u003eLecture Notes in Mathematics: Simple and Multiple Summability\u003c\/h1\u003e \u003ch2\u003eLoday-Richaud, Michèle\u003c\/h2\u003e \u003cp\u003eAddressing the question how to “sum” a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability. These theories apply in particular to all solutions of ordinary differential equations.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe volume includes applications, examples and revisits, from a cohomological point of view, the group of tangent-to-identity germs of diffeomorphisms of \u003cb\u003eC \u003c\/b\u003estudied in volume 1. With a view to applying the theories to solutions of differential equations, a detailed survey of linear ordinary differential equations is provided, which includes Gevrey asymptotic expansions, Newton polygons, index theorems and Sibuya’s proof of the meromorphic classification theorem that characterizes the Stokes phenomenon for linear differential equations.\u003c\/p\u003e\u003cp\u003eThis volume is the second in a series of three, entitled \u003ci\u003eDivergent Series, Summability and Resurgence\u003c\/i\u003e. It is aimed at graduate students and researchers in mathematics and theoretical physics who are interested in divergent series, Although closely related to the other two volumes, it can be read independently.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2016-06-29\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319290744\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-29075-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 272\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45369830899852,"sku":"9783319290744","price":58.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319290744.jpg?v=1775675570","url":"https:\/\/lateknightbooks.com\/products\/9783319290744","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}