Riemannian geometry :: a modern introduction /
This corrected and clarified second edition, including a new chapter on the Riemannian geometry of surfaces, provides an introduction to the geometry of curved spaces. Its main theme is the effect of the curvature of spaces on the usual notions of geometry, angles, lengths, areas, and volumes, and o...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York :
Cambridge University Press,
2006.
|
Ausgabe: | 2nd ed. |
Schriftenreihe: | Cambridge studies in advanced mathematics ;
98. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | This corrected and clarified second edition, including a new chapter on the Riemannian geometry of surfaces, provides an introduction to the geometry of curved spaces. Its main theme is the effect of the curvature of spaces on the usual notions of geometry, angles, lengths, areas, and volumes, and on those new notions and ideas motivated by curvature itself. |
Beschreibung: | 1 online resource (xvi, 471 pages) : illustrations |
Bibliographie: | Includes bibliographical references (pages 449-464) and indexes. |
ISBN: | 9780511221200 0511221207 0511219911 9780511219917 9780511219238 0511219237 9786610515936 661051593X 0511220324 9780511220326 |
Internformat
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245 | 1 | 0 | |a Riemannian geometry : |b a modern introduction / |c Isaac Chavel. |
250 | |a 2nd ed. | ||
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505 | 0 | |a Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface to the Second Edition; Preface; I Riemannian Manifolds; II Riemannian Curvature; III Riemannian Volume; IV Riemannian Coverings; V Surfaces; VI Isoperimetric Inequalities (Constant Curvature); VII The Kinematic Density; VIII Isoperimetric Inequalities (Variable Curvature); IX Comparison and Finiteness Theorems; Hints and Sketches for Exercises; Bibliography; Author Index; Subject Index. | |
520 | |a This corrected and clarified second edition, including a new chapter on the Riemannian geometry of surfaces, provides an introduction to the geometry of curved spaces. Its main theme is the effect of the curvature of spaces on the usual notions of geometry, angles, lengths, areas, and volumes, and on those new notions and ideas motivated by curvature itself. | ||
588 | 0 | |a Print version record. | |
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author | Chavel, Isaac |
author_GND | http://id.loc.gov/authorities/names/n82258025 |
author_facet | Chavel, Isaac |
author_role | |
author_sort | Chavel, Isaac |
author_variant | i c ic |
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callnumber-first | Q - Science |
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contents | Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface to the Second Edition; Preface; I Riemannian Manifolds; II Riemannian Curvature; III Riemannian Volume; IV Riemannian Coverings; V Surfaces; VI Isoperimetric Inequalities (Constant Curvature); VII The Kinematic Density; VIII Isoperimetric Inequalities (Variable Curvature); IX Comparison and Finiteness Theorems; Hints and Sketches for Exercises; Bibliography; Author Index; Subject Index. |
ctrlnum | (OCoLC)228144788 |
dewey-full | 516.3/73 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.3/73 |
dewey-search | 516.3/73 |
dewey-sort | 3516.3 273 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | 2nd ed. |
format | Electronic eBook |
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illustrated | Illustrated |
indexdate | 2024-11-27T13:16:21Z |
institution | BVB |
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series | Cambridge studies in advanced mathematics ; |
series2 | Cambridge studies in advanced mathematics ; |
spelling | Chavel, Isaac. http://id.loc.gov/authorities/names/n82258025 Riemannian geometry : a modern introduction / Isaac Chavel. 2nd ed. New York : Cambridge University Press, 2006. 1 online resource (xvi, 471 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Cambridge studies in advanced mathematics ; 98 Includes bibliographical references (pages 449-464) and indexes. Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface to the Second Edition; Preface; I Riemannian Manifolds; II Riemannian Curvature; III Riemannian Volume; IV Riemannian Coverings; V Surfaces; VI Isoperimetric Inequalities (Constant Curvature); VII The Kinematic Density; VIII Isoperimetric Inequalities (Variable Curvature); IX Comparison and Finiteness Theorems; Hints and Sketches for Exercises; Bibliography; Author Index; Subject Index. This corrected and clarified second edition, including a new chapter on the Riemannian geometry of surfaces, provides an introduction to the geometry of curved spaces. Its main theme is the effect of the curvature of spaces on the usual notions of geometry, angles, lengths, areas, and volumes, and on those new notions and ideas motivated by curvature itself. Print version record. Geometry, Riemannian. http://id.loc.gov/authorities/subjects/sh85054159 Geometry, Differential. http://id.loc.gov/authorities/subjects/sh85054146 Géométrie de Riemann. Géométrie différentielle. MATHEMATICS Geometry Analytic. bisacsh Geometry, Differential fast Geometry, Riemannian fast Print version: Chavel, Isaac. Riemannian geometry. 2nd ed. New York : Cambridge University Press, 2006 (DLC) 2005029338 Cambridge studies in advanced mathematics ; 98. http://id.loc.gov/authorities/names/n84708314 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=198837 Volltext |
spellingShingle | Chavel, Isaac Riemannian geometry : a modern introduction / Cambridge studies in advanced mathematics ; Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface to the Second Edition; Preface; I Riemannian Manifolds; II Riemannian Curvature; III Riemannian Volume; IV Riemannian Coverings; V Surfaces; VI Isoperimetric Inequalities (Constant Curvature); VII The Kinematic Density; VIII Isoperimetric Inequalities (Variable Curvature); IX Comparison and Finiteness Theorems; Hints and Sketches for Exercises; Bibliography; Author Index; Subject Index. Geometry, Riemannian. http://id.loc.gov/authorities/subjects/sh85054159 Geometry, Differential. http://id.loc.gov/authorities/subjects/sh85054146 Géométrie de Riemann. Géométrie différentielle. MATHEMATICS Geometry Analytic. bisacsh Geometry, Differential fast Geometry, Riemannian fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85054159 http://id.loc.gov/authorities/subjects/sh85054146 |
title | Riemannian geometry : a modern introduction / |
title_auth | Riemannian geometry : a modern introduction / |
title_exact_search | Riemannian geometry : a modern introduction / |
title_full | Riemannian geometry : a modern introduction / Isaac Chavel. |
title_fullStr | Riemannian geometry : a modern introduction / Isaac Chavel. |
title_full_unstemmed | Riemannian geometry : a modern introduction / Isaac Chavel. |
title_short | Riemannian geometry : |
title_sort | riemannian geometry a modern introduction |
title_sub | a modern introduction / |
topic | Geometry, Riemannian. http://id.loc.gov/authorities/subjects/sh85054159 Geometry, Differential. http://id.loc.gov/authorities/subjects/sh85054146 Géométrie de Riemann. Géométrie différentielle. MATHEMATICS Geometry Analytic. bisacsh Geometry, Differential fast Geometry, Riemannian fast |
topic_facet | Geometry, Riemannian. Geometry, Differential. Géométrie de Riemann. Géométrie différentielle. MATHEMATICS Geometry Analytic. Geometry, Differential Geometry, Riemannian |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=198837 |
work_keys_str_mv | AT chavelisaac riemanniangeometryamodernintroduction |