Elementary Differential Geometry (Springer Undergraduate Mathematics Series)
From the reviews of the second edition:“I am very happy to report that the new edition of Pressley’s Elementary Differential Geometry is an even better book than the first edition … . full solutions to all problems given in an appendix. … Most of the problems are in the book and have solutions in the back. … The upshot is that this is still an excellent book and still my first choice for an undergraduate introduction to differential geometry.” (Fernando Q. Gouvêa, The Mathematical Association of America, May, 2010)