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Title: Lectures on Differential Geometry (Series on University Mathematics, Volume 1) by Shiing-Shen Chern, W. H. Chen, K. S. Lan ISBN: 9-8102418-2-8 Publisher: World Scientific Pub Co Pub. Date: November, 1999 Format: Paperback List Price(USD): $30.00

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Average Customer Rating: 3.67 (3 reviews)

Rating: 3
Summary: To readers of this book
Comment: I am reading this book now. It is as the other reviewers said,
rather condensed. However, it would not be beyond comprehension
if the crucial pictures are established. It is my personal opinion that the first crucial place where it should be understood without any compromise is the section on the frame bundle. Later chapters build on this. Previous chapters are
synthesized here. To any readers who are interested, you are invited to discuss this book. My email address is [email protected] (Notice there are two "l" in "topollogy")

Rating: 3
Summary: dense book
Comment: This book contains most important material in differential geometry in about 330 page. No exercise, few exaples make this book very dense, which is just the style of Chinese professors.
It deserves cautions that in chapter 8, Chern introduce the connection proposed by himself in 1948, which is the proper tools for finsler geometry.

Rating: 5
Summary: Concise and To the Point!
Comment: I read the Chinese version of this book published by Peking University Press some time ago. Now, I am inpatiently waiting for the English version. It has been delayed again and again. This book is very concised and not suitable for beginners who want to learn the subject by this book. Wu's Chinese book of "Rieman Geometry" is a more friendly book dealing on the introductory level. Nevertheless, I like Chern's book a lot. It comes handy to review the subject. If you are an advanced reader, you will find this book to be very enjoyable like me.

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