Divergent Series Summability and Resurgence II is popular PDF and ePub book, written by Michèle Loday-Richaud in 2016-06-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Divergent Series Summability and Resurgence II can be Read Online from any device for your convenience.
Divergent Series Summability and Resurgence II Book PDF Summary
Addressing 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. The volume includes applications, examples and revisits, from a cohomological point of view, the group of tangent-to-identity germs of diffeomorphisms of C studied 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. This volume is the second in a series of three, entitled Divergent Series, Summability and Resurgence. 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.
Detail Book of Divergent Series Summability and Resurgence II PDF
- Author : Michèle Loday-Richaud
- Release : 28 June 2016
- Publisher : Springer
- ISBN : 9783319290751
- Genre : Mathematics
- Total Page : 286 pages
- Language : English
- PDF File Size : 20,5 Mb
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