Titlebook: Differentiable Manifolds; A Theoretical Physic Gerardo F. Torres del Castillo Textbook 20121st edition Springer Science+Business Media, LLC

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書目名稱Differentiable Manifolds影響因子(影響力)




書目名稱Differentiable Manifolds影響因子(影響力)學(xué)科排名




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書目名稱Differentiable Manifolds網(wǎng)絡(luò)公開度學(xué)科排名




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Textbook 20121st edition 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..

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f varying degrees of difficulty.Includes applications to dif.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 d

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https://doi.org/10.1057/978-1-349-95235-9defined on .... We then apply this structure to classical mechanics and geometrical optics, emphasizing the applications of Lie groups and Riemannian geometry. Here we will have the opportunity of making use of all of the machinery introduced in the previous chapters.

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https://doi.org/10.1007/BFb0103892s to sets that do not possess the structure of a normed vector space. The differentiability of a function of ?. to ?. means that around each interior point of its domain the function can be approximated by a linear transformation, but this requires the notions of linearity and distance, which are no

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