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Title: Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics) (v. 176)
ISBN: 0387983228
Author:
John M. Lee
Publicate Date: 1997-09-05
Publish: 1997-09-05
List Price: $49.95
Average Customer Rating: 5.0
Format: Paperback
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Amazon Lowest New Price: $34.96
Amazon Lowest Used Price: $41.10
Amazon Merchant Price: $44.95
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| Customer Review: |
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1: The printing is not up to the standard of the writing
By all accounts, this and Dr. Lee's other two books on manifolds are exceptionally well-written. But my copies arrived from Amazon this week, and, unfortunately, Amazon and Springer have decided to replace the crisp offset-printing of earlier printings by lower quality digitally-printed versions, probably as a cost-cutting measure.
If you care about how books look, I'd suggest trying Amazon marketplace or small retailers elsewhere to increase your odds of getting a superior copy from an earlier printing.
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2: Excelent Book!
This book is great. An excellent book for anyone with a little background in mathematical formality, i.e. analysis, topology or differential geometry.
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3: As always
Prof. Lee sets the norm of mathematical exposition. I would give it 5 stars if it were more comprehensive. There is so much to say about Riemannian manifolds and it would be a pleasure to see them under the light the author sheds on such subtle concepts. One very nice feature of the book that underlies its structure is that it uses four theorems - pillars of Riemannian geometry as a guide of what should be included. This approach, besides improving considerably the organization of the book as compared to other books on the subject, it also motivates the reader who now has a target in his mind, namely the proofs of these important theorems. It is really nontrivial to introduce people to mathematical areas as broad as Riemannian geometry. Also, useful suggestions are given in the preface for further reading.
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4: Nice graduate text.
I used this book to teach about half a year of a graduate Riemannian manifolds course. It is a very good introductory text. I wish it has a bit more background on curves and surfaces, but otherwise it was excellent. It doesn't get into a lot of more advanced topics, but the treatment of Jacobi fields and so forth is really good.
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5: A nice modern treatment.
I just got this fella, and I'm really just through the first four chaptors but so far I'm very pleased. He really tries to tie the definitions and theorems to something you can think about. He gives three "model spaces", the n-sphere, R^n, and hyperbolic space and keeps coming beck to them as he does new things. I like that after he defines connections he shows some in R^n. You know, things like that. Anyway, I'm not a specialist but this seems to me as good an introduction to Reimannian curvature as you could ask for. At least as good in my opinion as Del Carmo's book.
So thanks again Dr. Lee. You keep writing them and we'll keep reading them.
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