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Riemannian Manifolds: An Introduction to - Paperback, by Lee John M. - Very Good
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- Buy It NowRiemannian Manifolds: An Introduction to - Paperback, by Lee John M. - Very Good
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eBay item number:404787020130
Item specifics
- Condition
- Book Title
- Riemannian Manifolds: An Introduction to Curvature (Graduate Text
- ISBN
- 9780387983226
- Subject Area
- Mathematics
- Publication Name
- Riemannian Manifolds : an Introduction to Curvature
- Item Length
- 9.3 in
- Publisher
- Springer
- Subject
- Geometry / Differential
- Series
- Graduate Texts in Mathematics Ser.
- Publication Year
- 1997
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.2 in
- Item Width
- 6.1 in
- Item Weight
- 27.9 Oz
- Number of Pages
- Xv, 226 Pages
About this product
Product Information
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Product Identifiers
Publisher
Springer
ISBN-10
0387983228
ISBN-13
9780387983226
eBay Product ID (ePID)
443486
Product Key Features
Publication Name
Riemannian Manifolds : an Introduction to Curvature
Format
Trade Paperback
Language
English
Subject
Geometry / Differential
Series
Graduate Texts in Mathematics Ser.
Publication Year
1997
Type
Textbook
Subject Area
Mathematics
Number of Pages
Xv, 226 Pages
Dimensions
Item Length
9.3 in
Item Height
0.2 in
Item Width
6.1 in
Item Weight
27.9 Oz
Additional Product Features
LCCN
97-014537
Series Volume Number
176
Number of Volumes
1 Vol.
Lc Classification Number
Qa641-670
Reviews
"This book is very well writen, pleasant to read, with many good illustrations. It deals with the core of the subject, nothing more and nothing less. Simply a recommendation for anyone who wants to teach or learn about the Riemannian geometry." Nieuw Archief voor Wiskunde, September 2000, "This book is very well writen, pleasant to read, with many good illustrations. It deals with the core of the subject, nothing more and nothing less. Simply a recommendation for anyone who wants to teach or learn about the Riemannian geometry."Nieuw Archief voor Wiskunde, September 2000
Table of Content
What Is Curvature'.- Review of Tensors, Manifolds, and Vector Bundles.- Definitions and Examples of Riemannian Metrics.- Connections.- Riemannian Geodesics.- Geodesics and Distance.- Curvature.- Riemannian Submanifolds.- The Gauss-Bonnet Theorem.- Jacobi Fields.- Curvature and Topology.
Copyright Date
1997
Target Audience
Scholarly & Professional
Dewey Decimal
516.3/73
Dewey Edition
21
Illustrated
Yes
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eBay item number:404787020130
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