The Best Analysis On Manifolds of 2023 – Reviewed and Top Rated

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Last update on 2024-07-01 / Affiliate links / Product Titles, Images, Descriptions from Amazon Product Advertising API

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FAQ:

Q: Is there a book called analysis on manifolds?

A: “Analysis on Manifolds” is a leisurely (more than twice as long as Spivak) and well-motivated exposition of much of the same topics as “Calculus on Manifolds” and even a few advanced topics like de Rham groups and manifolds in spaces other than R^n and uses figures throughout to aid in explaining geometric concepts.

Q: Why did Robert spivaks write calculus on manifolds?

A: Spivaks book Calculus on Manifolds became famous because of the rather ingenious proof of Stoke’s Theorem in his original course notes. The book was published, it seems, simply to make that proof and the associated machinery, which at the time were somewhat novel, widely accessible.

Q: When do you apply derivative to a manifold?

A: In Chapter III the concept of derivative is transferred to manifolds. This leads to tangent spaces and tangent mappings and is used to get a notion of sub objects and quotient objects of manifolds. Ordinary di\\u000berential equations on manifolds are introduced in Chapter IV.

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