"This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry."
"This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises."
–Newsletter of the EMS
"In the reviewer's opinion, this is a superb book which makes learning a real pleasure."
—Revue Romaine de Mathematiques Pures et Appliquees
"This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises."
—Monatshefte F. Mathematik
if you are study in riemannian geometry this book is a good textbook for you!
before study you should learn some Functions of several variables
This is a concise, and instructive book that can be read easily.
However, this is not for the absolute beginner. Read more
I studied the portuguese version of this book during the master degree program in mathematics at University of Brasilia, 1999. The book is very well written with beautiful results. Read morePublished on September 1, 2010 by Leandro
This is another well-written text by Do Carmo. I browsed through it and found I could not understand several passages because I did not know what the special symbols meant and... Read morePublished on February 4, 2007 by Marvin J. Greenberg