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Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
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Lectures on the Geometry of Poisson Manifolds (Hardcover, 1994 ed.)
Loot Price: R2,993
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Lectures on the Geometry of Poisson Manifolds (Hardcover, 1994 ed.)
Series: Progress in Mathematics, 118
Expected to ship within 18 - 22 working days
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This book is addressed to graduate students and researchers in the
fields of mathematics and physics who are interested in
mathematical and theoretical physics, differential geometry,
mechanics, quantization theories and quantum physics, quantum
groups etc., and who are familiar with differentiable and
symplectic manifolds. The aim of the book is to provide the reader
with a monograph that enables him to study systematically basic and
advanced material on the recently developed theory of Poisson
manifolds, and that also offers ready access to bibliographical
references for the continuation of his study. Until now, most of
this material was dispersed in research papers published in many
journals and languages. The main subjects treated are the
Schouten-Nijenhuis bracket; the generalized Frobenius theorem; the
basics of Poisson manifolds; Poisson calculus and cohomology;
quantization; Poisson morphisms and reduction; realizations of
Poisson manifolds by symplectic manifolds and by symplectic
groupoids and Poisson-Lie groups. The book unifies terminology and
notation. It also reports on some original developments stemming
from the author's work, including new results on Poisson cohomology
and geometric quantization, cofoliations and biinvariant Poisson
structures on Lie groups.
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