An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form, but with many explanatory details, figures, and examples, and in a manner that conveys the theoretical and practical importance of the different concepts, methods, and results involved. With problems and solutions. Includes 99 illustrations.
This is a good book to go through to get an understanding of differential geometry. It has all the things you need to study. I had hoped that it would be a bit more general, but the book heavily focuses on 2-dimensional surfaces. I like that it has problems with solutions at the back of the book. This makes it much better suited for self-study. I also thought it had fairly clear explanations overall. There were a couple of times I thought the presentation could have been clearer, however, and some of the problems are less enlightening than I would have hoped. That is, a few problems seemed purely for calculation without really giving any deeper insight into anything, but the majority of problems were good and helped cement understanding.