The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlev? equation. The resurgent analysis of singularities is pushed all the way up to the so-called ?bridge equation?, which concentrates all information about the non-linear Stokes phenomenon at infinity of the First Painlev? equation. The third in a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists who are interested in divergent power series and related problems, such as the Stokes phenomenon. The prerequisites are a working knowledge of complex analysis at the first-year graduate level and of the theory of resurgence, as presented in volume 1.
Divergent Series, Summability and Resurgence III Ebook
Resurgent Methods and the First Painlev? Equation
By: Eric Delabaere
Publisher:
Springer
Print ISBN: 9783319289991, 3319289993
eText ISBN: 9783319290003, 3319290002
Copyright year: 2016
Format: PDF
Available from $ 59.99 USD
SKU: 9783319290003
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