Elementary Differential Geometry
I have been rushing through books in ‘spare time’. This is one of them.
This book is written clearly. There are some beautiful coloured graphics in the middle of the book. I would have preferred more worked examples and more illustrative graphics to amplify the text. In particular, covariant differentiation and differentiable vector fields and the stepwise approach to proof of the Gauss Bonnet theorem (i.e. triangulations).
These comments almost certainly reflect my struggles with these concepts. There are answers to exercises at the back of the book and a useful bibliography.