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What are the books in Differential Geometry with good collection of problems. At present I am having John M.Lee's Riemannian Manifolds,Kobayashi Nomizu's Foundations of Differential Geometry. I particularly like Dieudonne's books in Analysis as well as the kind of like the Alexander Krillov's Functional Analysis.To be precise, the books that have a huge no. of exercises. I books I mentioned are definitely not of that category. Can anyone please suggest differential geometry books that gives a lot of exercises.

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Petersen's Riemanninan Geometry. –  M.B. Jan 22 '13 at 12:54
Related to my answer here –  Yuri Vyatkin Jan 22 '13 at 21:20

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up vote 1 down vote accepted

John M. Lee's Introduction to Smooth Manifolds is also a great book with lots of exercises.

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Can you suggest one for beginning undergraduates which has some applications to physics? –  Manjil P. Saikia Jun 19 '13 at 8:04
I am not aware of such a book. Try this question for potential suggestions. –  Michael Albanese Jun 19 '13 at 8:25

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