| 书目名称 | Differentiable Manifolds | | 副标题 | A Theoretical Physic | | 编辑 | Gerardo F. Torres del Castillo | | 视频video | | | 概述 | Introduces differentiable manifolds using a theoretical physics approach; unique book in the literature.Provides a collection of exercises of varying degrees of difficulty.Includes applications to dif | | 图书封面 |  | | 描述 | .This textbook explores the theory behind differentiable manifolds and investigates various physics applications along the way. Basic concepts, such as differentiable manifolds, differentiable mappings, tangent vectors, vector fields, and differential forms, are briefly introduced in the first three chapters. Chapter 4 gives a concise introduction to differential geometry needed in subsequent chapters. Chapters 5 and 6 provide interesting applications to connections and Riemannian manifolds. Lie groups and Hamiltonian mechanics are closely examined in the last two chapters. Included throughout the book are a collection of exercises of varying degrees of difficulty. .Differentiable Manifolds. is intended for graduate students and researchers interested in a theoretical physics approach to the subject. Prerequisites include multivariable calculus, linear algebra, differential equations, and a basic knowledge of analytical mechanics.. | | 出版日期 | Textbook 20121st edition | | 关键词 | Euler equations; Hamiltonian mechanics; Lie derivatives; Riemannian manifolds; differentiable manifolds; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-8271-2 | | isbn_ebook | 978-0-8176-8271-2 | | copyright | Springer Science+Business Media, LLC 2012 |
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发表于 2025-3-21 19:47:56
