Symplectic, Poisson, and Noncommutative Geometry / Najlacnejšie knihy
Symplectic, Poisson, and Noncommutative Geometry

Kód: 05165465

Symplectic, Poisson, and Noncommutative Geometry

Autor Toru Eguchi, Yakov Eliashberg, Yoshiaki Maeda

Symplectic geometry originated in physics, but it has flourished as an independent subject in mathematics, together with its offspring, symplectic topology. Symplectic methods have even been applied back to mathematical physics. N ... celý popis

175.14


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Viac informácií o knihe Symplectic, Poisson, and Noncommutative Geometry

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Anotácia knihy

Symplectic geometry originated in physics, but it has flourished as an independent subject in mathematics, together with its offspring, symplectic topology. Symplectic methods have even been applied back to mathematical physics. Noncommutative geometry has developed an alternative mathematical quantization scheme based on a geometric approach to operator algebras. Deformation quantization, a blend of symplectic methods and noncommutative geometry, approaches quantum mechanics from a more algebraic viewpoint, as it addresses quantization as a deformation of Poisson structures. This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute: Symplectic and Poisson Geometry in Interaction with Analysis, Algebra and Topology (honoring Alan Weinstein, one of the key figures in the field) and Symplectic Geometry, Noncommutative Geometry and Physics. The chapters include presentations of previously unpublished results and comprehensive reviews, including recent developments in these areas.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Geometry

175.14

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