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Riemannian Geometry - Hardcover, by Manfredo Perdigao do Carmo - Very Good
US $22.95
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eBay item number:126471013002
Item specifics
- Condition
- Book Title
- Riemannian Geometry
- ISBN
- 9780817634902
- Publication Year
- 1992
- Series
- Mathematics: Theory and Applications Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Riemannian Geometry
- Item Length
- 9.3in
- Publisher
- Birkhäuser Boston
- Item Width
- 6.1in
- Item Weight
- 22.7 Oz
- Number of Pages
- Xv, 300 Pages
About this product
Product Information
Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems. It is elementary, assuming only a modest background from readers, making it suitable for a wide variety of students and course structures. Its selection of topics has been deemed "superb" by teachers who have used the text. A significant feature of the book is its powerful and revealing structure, beginning simply with the definition of a differentiable manifold and ending with one of the most important results in Riemannian geometry, a proof of the Sphere Theorem. The text abounds with basic definitions and theorems, examples, applications, and numerous exercises to test the student's understanding and extend knowledge and insight intothe subject. Instructors and students alike will find the work to be a significant contribution to this highly applicable and stimulating subject.
Product Identifiers
Publisher
Birkhäuser Boston
ISBN-10
0817634908
ISBN-13
9780817634902
eBay Product ID (ePID)
532581
Product Key Features
Publication Name
Riemannian Geometry
Format
Hardcover
Language
English
Publication Year
1992
Series
Mathematics: Theory and Applications Ser.
Type
Textbook
Number of Pages
Xv, 300 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
22.7 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Qa641-670
Edition Number
4
Reviews
"This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry." Publicationes Mathematicae"This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises." Newsletter of the EMS"In the reviewer's opinion, this is a superb book which makes learning a real pleasure."-Revue Romaine de Mathematiques Pures et Appliquees"This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." -Monatshefte F. Mathematik, "This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry." Publicationes Mathematicae "This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises." Newsletter of the EMS "In the reviewer's opinion, this is a superb book which makes learning a real pleasure." -Revue Romaine de Mathematiques Pures et Appliquees "This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." -Monatshefte F. Mathematik, "This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry." a?Publicationes Mathematicae "This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises." a?Newsletter of the EMS "In the reviewer's opinion, this is a superb book which makes learning a real pleasure." a?Revue Romaine de Mathematiques Pures et Appliquees "This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." a?Monatshefte F. Mathematik, "This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry." -Publicationes Mathematicae "This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises." -Newsletter of the EMS "In the reviewer's opinion, this is a superb book which makes learning a real pleasure." --Revue Romaine de Mathematiques Pures et Appliquees "This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." --Monatshefte F. Mathematik
Table of Content
0-Differentiable Manifolds.- 1-Riemannian Metrics.- 2-Affine Connections; Riemannian Connections.- 3-Geodesics; Convex Neighborhoods.- 4-Curvature.- 5-Jacobi Fields.- 6-Isometric Immersions.- 7-Complete Manifolds; Hopf-Rinow and Hadamard Theorems.- 8-Spaces of Constant Curvature.- 9-Variations of Energy.- 10-The Rauch Comparison Theorem.- 11-The Morse Index Theorem.- 12-The Fundamental Group of Manifolds of Negative Curvature.- 13-The Sphere Theorem.- References.
Copyright Date
1992
Topic
Geometry / Non-Euclidean, Geometry / Differential, Physics / Mathematical & Computational
Lccn
91-037377
Dewey Decimal
516.3/73
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Science, Mathematics
Item description from the seller
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eBay item number:126471013002
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