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Manifolds and Vector Bundles

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Book Id: WPLBN0000675313
Format Type: PDF eBook
File Size: 1.06 MB
Reproduction Date: 2005
Full Text

Title: Manifolds and Vector Bundles  
Language: English
Subject: Science., Mathematics, Logic
Publication Date:


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Manifolds and Vector Bundles. (n.d.). Manifolds and Vector Bundles. Retrieved from

Mathematics document containing theorems and formulas.

Excerpt: We are now ready to study manifolds and the differential calculus of maps between manifolds. Manifolds are an abstraction of the idea of a smooth surface in Euclidean space. This abstraction has proved useful because many sets that are smooth in some sense are not presented to us as subsets of Euclidean space. The abstraction strips away the containing space and makes constructions intrinsic to the manifold itself. This point of view is well worth the geometric insight it provides.


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