Title | Introduction to Symplectic Geometry [electronic resource] / by Jean-Louis Koszul, Yi Ming Zou |
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Imprint | Singapore : Springer Singapore : Imprint: Springer, 2019 |

Edition | 1st ed. 2019 |

Connect to | https://doi.org/10.1007/978-981-13-3987-5 |

Descript | L, 121 p. 19 illus., 9 illus. in color. online resource |

SUMMARY

This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the differential properties of graded symplectic manifolds of dimensions (0,n). It is a useful reference resource for students and researchers interested in geometry, group theory, analysis and differential equations

CONTENT

Some Algebra Basics -- Symplectic Manifolds -- Cotangent Bundles -- Symplectic G-spaces -- Poisson Manifolds -- A Graded Case

Distribution (Probability theory
Global differential geometry
Mechanics
Mathematical Physics. http://scigraph.springernature.com/things/product-market-codes/M35000
Probability Theory and Stochastic Processes. http://scigraph.springernature.com/things/product-market-codes/M27004
Differential Geometry. http://scigraph.springernature.com/things/product-market-codes/M21022
Classical Mechanics. http://scigraph.springernature.com/things/product-market-codes/P21018