A Comprehensive Introduction to Differential Geometry, Vol. 3, 3rd Edition
By Michael Spivak
* Publisher: Publish or Perish
* Number Of Pages:
* Publication Date: 1999-01-01
* ISBN-10 / ASIN: 0914098721
* ISBN-13 / EAN: 9780914098720
Summary: correction
Rating: 4
This is actually in response to the other review. Do Carmo has written two books on differential geometry and the previous commentator refers to only the undergraduate version. Riemannian geometry is the title of the other.
as for these, I personally find them too long to use except as a reference or when i'm confused. A real mathematician will get the detail of the proof and other technicalities on his or her own, so even if there are faults I find that any book with text of explaination and examples is worth it's weight. this is what makes it a five volume (as far as I know) set. i like it as a reference.
http://ifile.it/mwh58ly/Spivak3.rar