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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
Painlevé 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 Painlevé
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.
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
Painlevé 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 Painlevé
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.
Features a thorough resurgent analysis of
the celebrated non-linear differential equation Painlevé I
Includes new specialized results in the
theory of resurgence
For the first time, higher order Stokes
phenomena of Painlevé I are made explicit by means of the so-called bridge
equation
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xxii
230 S. 21 s/w Illustr. 14 farbige Illustr. 230 p. 35 illus. 14 illus. in color. |
| ISBN-13: | 9783319289991 |
| ISBN-10: | 3319289993 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-28999-1 |
| Einband: | Kartoniert / Broschiert |
| Autor: | Delabaere, Eric |
| Auflage: | 1st edition 2016 |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 14 mm |
| Von/Mit: | Eric Delabaere |
| Erscheinungsdatum: | 29.06.2016 |
| Gewicht: | 0,388 kg |
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