One cannot start discussing Riemannian geometry without mention of the classics.
An edition of Riemannian geometry
(1993)
Riemannian geometry
a modern introduction
2nd ed.
by Isaac Chavel
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This book provides an introduction to Riemannian geometry, the geometry of curved spaces. Its main theme is the effect of the curvature of these spaces on the usual notions of geometry - distances, areas, and volumes - and on those new notions and ideas motivated by curvature itself. Among the more specialized classical topics in a new setting are volume-comparison theorems, and isoperimetric inequalities - the interplay of curvature with volume of sets and the areas of their boundaries.
Completely new themes created by curvature include the interaction of microscopic behavior of the geometry with the macroscopic structure of the space. After considering those topics which would form the core of an introductory course, the book emphasizes more specialized topics, here treated in book form for the first time. Also featured is a nontraditional Notes and Exercises section for each chapter, to develop and enrich the readers appetite for and appreciation of the subject.
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Previews available in: English
| Edition | Availability |
|---|---|
1
Riemannian geometry: a modern introduction
2006, Cambridge University Press
in English
- 2nd ed.
0521853680 9780521853682
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2
Riemannian geometry: a modern introduction
1995, Cambridge University Press
in English
- 1st pbk. ed. with corr.
0521485789 9780521485784
|
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3
Riemannian Geometry: A Modern Introduction (Cambridge Tracts in Mathematics)
January 28, 1994, Cambridge University Press
Hardcover
in English
0521432014 9780521432016
|
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4
Riemannian geometry: a modern introduction
1993, Cambridge University Press
in English
0521432014 9780521432016
|
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Includes bibliographical references and indexes.
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- Created April 1, 2008
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| February 15, 2025 | Edited by MARC Bot | import existing book |
| December 29, 2022 | Edited by MARC Bot | import existing book |
| December 11, 2020 | Edited by MARC Bot | import existing book |
| October 8, 2020 | Edited by ImportBot | import existing book |
| April 1, 2008 | Created by an anonymous user | Imported from Scriblio MARC record |