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please recommend a book about differentiable manifold

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bearpetty

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for beginner is ok. i am an EE PH.d student.
 

I have a basic book,

Elements of Diffential Geometry by millman & parker, 1977 Prentice Hall.

BTW, what do u gonna use it for? I try to understand it and try to use it in a very complex optimization problem.
 

**broken link removed**
 

these are the books that were recommended at university. I prefer the first one by Spivak but I dont have any in electronic format

M. Spivak, Calculus on Manifolds. A Modern Approach to Classical Theorems of Advanced Calculus, W A Benjamin Inc.

M. Spivak, A Comprehensive Introduction to Differential Geometry

W. F. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry, 2nd edition, Academic Press
 

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