Differential Geometry: Connections, Curvature, and Characteristic Classes (Graduate Texts in Mathematics, 275) 2017th Edition

I recommend working through his first book on manifold first. I wish every advanced math book is written in this way. The book is incredible. I am waiting for his third book

Received today by customer in perfect condition. Excellent service!! 5 - star all the way!!!

The author has a special talent to be remarkably clear, uncommonly concise, and, at the same time, really precise!Te book's quality is also like in the old days; one that is meant to last even if used heavily. Not like most of what is printed in these days (print on demand concept).To read this book you would probably need as background what is contained in the author's book "An Introduction to Manifolds" which is also a great book!

This is a masterpiece by Loring W. Tu.It treats the same material in Kobayashi and Nomizu's famous "Foundations of Differential Geometry," but does so in a much accessible and clear manner. This is a must-read by anyone who is interested in pursuing applying differential geometry!

This book and Tu's "An Introduction to Manifolds" compete with Jack Lee's trilogy as the standard modern textbook introductions to manifolds and differential geometry. Tu's books provide a clear, easy to follow and comprehensive path through the central topics in differential geometry that are important to both pure mathematicians and physicists alike. I view choosing between Tu's or Lee's books as matters of taste and choice of topics, not quality.

Clear and concise. The historical chapters (first 8 chapters) are most useful in motivating he subject.

I am a hobby mathematician only, so you should consider my comments with this in mind.The book covers what the title says.It is highly helpful for the understanding to have the knowledge of what is covered in the author‘s book ‚An Introduction to Manifolds‘!In an appendix the author covers the essentials of manifolds, unfortunately, there is no appendix for ‚de Rham Cohomology‘.In my view the book would be better if there was such an appendix.Without a good knowledge of de Rham, the last third of the book becomes difficult / incomprehensible, at least for me it was so- but the author tives this warning in his preface!There are very few typos, which is helpful for self study.With an appendix about de Rham cohomology, I believe 5 stars would be in order.

great book on advanced topics in differential geometry. Would recommend this book to any interested in general relativity