New PDF release: Algebraic Integrability, Painlevé Geometry and Lie Algebras

By Mark Adler,Pierre Moerbeke,Pol Vanhaecke

This Ergebnisse quantity is geared toward a large readership of mathematicians and physicists, graduate scholars and execs. the most thrust of the booklet is to teach how algebraic geometry, Lie thought and
Painlevé research can be utilized to explicitly clear up integrable differential equations and build the algebraic tori on which they linearize; while, it truly is, for the coed, a enjoying floor to utilizing algebraic
geometry and Lie conception. The booklet is intended to be quite self-contained and provides various examples. The latter look during the textual content to demonstrate the guidelines, and make up the center of the final a part of the booklet. The
first a part of the publication comprises the fundamental instruments from Lie teams, algebraic and differential geometry to appreciate the most subject.

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Algebraic Integrability, Painlevé Geometry and Lie Algebras (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) by Mark Adler,Pierre Moerbeke,Pol Vanhaecke


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