From the reviews of the second edition:
“This book could be called a prequel to the book ‘Differential forms in algebraic topology’ by R. Bott and the author. Assuming only basic background in analysis and algebra, the book offers a rather gentle introduction to smooth manifolds and differential forms offering the necessary background to understand and compute deRham cohomology. … The text also contains many exercises … for the ambitious reader.” (A. Cap, Monatshefte für Mathematik, Vol. 161 (3), October, 2010)
Like other books on manifold, this book basically covers the same materials.
With many hints and solutions at the end of the textbook, I can be sure I'm not only learning the material, I'm learning it correctly!
In contrast to most books on manifolds that tend to be very difficult for beginners to follow, Prof.
This is an excellent book for what it is. A gentle yet rigorous introduction to the subject. I like the careful handling of various notion of orientation, the introduction to... Read morePublished 24 days ago by stochasticmind
Let me compare it to other textbooks on manifold theory -
Compared to John M. Lee's "Introduction to smooth manifolds", Loring W. Read more
This book is an excellent introduction to smooth manifolds. After reading this book and working through some of the exercises you will have a basic understanding of the language of... Read morePublished 8 months ago by broke_symlink
If you are in a technical field of study and keep seeing words like, manifold, tangent bundle, vector bundle, lie groups ..., and want to know what they are, this book is a must. Read morePublished on December 26, 2009 by Russell J. Barry