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Titlebook: Introduction to Symplectic Geometry; Jean-Louis Koszul,Yi Ming Zou Textbook 2019 Springer Nature Singapore Pte Ltd. 2019 Symplectic Geomet

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書(shū)目名稱(chēng)Introduction to Symplectic Geometry
編輯Jean-Louis Koszul,Yi Ming Zou
視頻videohttp://file.papertrans.cn/475/474257/474257.mp4
概述Offers a unique and unified overview of symplectic geometry.Highlights the differential properties of symplectic manifolds.Great interest for the emerging field of "Geometric Science of Information
圖書(shū)封面Titlebook: Introduction to Symplectic Geometry; Jean-Louis Koszul,Yi Ming Zou Textbook 2019 Springer Nature Singapore Pte Ltd. 2019 Symplectic Geomet
描述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.This book is also inspiring in the emerging field of Geometric Science of Information, in particular the chapter on Symplectic G-spaces, where Jean-Louis Koszul develops Jean-Marie Souriau‘s tools related to the non-equivariant case of co-adjoint action on Souriau’s moment map through Souriau’s Cocycle, opening the door to Lie Group Machine Learning with Souriau-Fisher metric.
出版日期Textbook 2019
關(guān)鍵詞Symplectic Geometry; Cotangent Bundles; G-spaces; Poisson Manifolds; supermanifolds
版次1
doihttps://doi.org/10.1007/978-981-13-3987-5
isbn_ebook978-981-13-3987-5
copyrightSpringer Nature Singapore Pte Ltd. 2019
The information of publication is updating

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Jean-Louis Koszul,Yi Ming Zoucision-aiding fields of operations research and management s.The goal of the .Encyclopedia of Operations Research and Management Science. is to provide decision makers and problem solvers in business, industry, government, and academia a comprehensive overview of the wide range of ideas, methodologi
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Jean-Louis Koszul,Yi Ming Zou government, and academia a comprehensive overview of the wide range of ideas, methodologies, and synergistic forces that combine to form the preeminent decision-aiding fields of operations research and management science (OR/MS). The impact of OR/MS on the quality of life and economic well being of
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cision-aiding fields of operations research and management s.The goal of the .Encyclopedia of Operations Research and Management Science. is to provide decision makers and problem solvers in business, industry, government, and academia a comprehensive overview of the wide range of ideas, methodologi
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Cotangent Bundles, space ., and the elements in . are the cotangent vectors at the point .. We use . and . to denote the projections of . and . on . respectively. We use . to denote the tangent bundle of the cotangent bundle . and use . to denote the projection of . on the base space ..
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