Differential Geometry Kreyszig 22.pdf ((FREE))

Since it's my first course in differential geometry it doesn't have to cover material (we finished the course with gauss-bonnet theorem)but rather to have hard-leveled problems. What book would you recommend to me ?

Differential Geometry Kreyszig 22.pdf

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The first textbook introduces the tools of modern differential geometry, exterior calculus, manifolds, vector bundles and connections, to advanced undergraduate and beginning graduate students in mathematics, physics and engineering through the use of numerous concrete examples and (non-worked through) solutions provided.