Looking for a good alternative to 'An introduction to manifolds' by Loring W. Tu

Question

I'm currently studying some basic theory about manifolds from the book 'An introduction to manifolds' by Loring W. Tu.

The problem I have with this book is that there are very little exercises, and the exercises that are included are quite easy and do not really serve to provide you with any real insight by forcing you to think deeply about the material.

I do like the pace and assumed prerequisites of the book.

So I'm looking for something similar to this book but with more and harder/more interesting exercises.

Thanks.

Answer 1

I would recommend John Lee's trilogy:

• Introduction to Topological Manifolds
• Introduction to Smooth Manifolds
• Riemannian Manifolds: An Introduction to Curvature