Elementary Differential Geometry, Revised 2nd Edition

Perfect introduction to the field of differential geometry. I found this book to be exactly what I needed to build my fundamental knowledge of the subject, especially in terms of computations. Very accessible for undergrads.For a more intuitive companion book, I strongly recommend John McCleary's "Geometry from a Differentiable Point of View" (which I picked up at Powell's annex building in Portland, OR). I've used both books together and felt that the two books compliment each other very well. (Edit: I say McCleary's book is more intuitive because he builds up differential geometry from the more classical roots of geometry. You won't lose any rigour from McCleary's book, though I feel O'Neill does a better job of explicitly building up the rigour of differential geometry in a more modern context).What O'Neill's book lacks in set-up and motivation, McCleary's book more than makes up for. What McCleary's book lacks in computational methodology and rigour, O'Neill's book more than makes up for. O'Neill also includes many more exercises for practice than McCleary. Both books have quality exercises, but O'Neill also has sheer quantity working for his text.If you're feeling passionate about getting into the subject of differential geometry, and modern geometry in general, I cannot highly recommend using both books together enough.

I really liked this book. I read it to review some basic concepts in differential geometry. I found the book very concise (but not too terse) and well organized. It is less advanced than the book by do Carmo and this book has a slightly more computational approach in some sections. However, this is good because of the intended audience. Some books start off right away with manifolds and a chapter full of definitions such as derivations and p-forms and such. I think this book does an excellent job preparing the reader for more advanced books on differential geometry by starting with Euclidean space and exposing the reader to the important ideas that make the emergence of the more abstract idea of manifolds very logical. The reader should find differential geometry and/or introduction to manifolds books by do Carmo, Frankel (more oriented towards physicists/engineers), Loring Tu (less intense than John Lee's book but more "mathy" than Frankel), etc. very readable after O'Neill.

This book is clearly a classic for starting your study of differential geometry. Unfortunately the book does not provide worked out solutions for the problem sets. For self learners that is clearly not ideal.

The book is as good as a new one.

I like the attention to detail and the numerous examples. The exercises and tips on the use of Mathematica to generate images of curves and surfaces turned what could be a dry subject into something exciting. On the down side, the hyperlinks to prior exercises, lemmas, theorems, etc. often go to the wrong chapter. This is a small price to pay.I am using this product to prepare for the study of general relativity.

Good subject and content, not too difficult to grasp. However, book falls apart quite easily after a couple of readings

This is an excellent introduction to differential geometry. It has numerous exercises with answers in the book which make it appropriate for self study. All that is needed is some familiarity with linear algebra and vector calculus, but even this book is self contained enough that even without exposure to either of those it is still approachable. I think that after working through this book a student will be well prepared to take on a more advanced book like Riemannian Geometry by do Carmo or Differential Geometry by Kuhnel.

This book is not like new, but very new. The package is very, very good! Thank you!

glued.and badly glued hardcover.well done academic press.!2024 quality of products is lower than those printed in 1450s.In 1450s they were sewing hardcover books.now you can't even do that. great job! corporate greed, GO GO GO! more expensive, lower quality, sleep and repeat!

ok

Despite the fact that it's a hardcover book, the overall quality it's very bad. Bad paper quality, bad ink quality, very bad images resolutions. I guess Academic Press is about to leave this business of selling books.The book's contents are O.K.