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25 Remote Warehouse Mathematics- Geometry General

Riemannian Geometry

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Synopses & Reviews

Publisher Comments:

This text has been adopted at:University of Pennsylvania, PhiladelphiaUniversity of Connecticut, StorrsDuke University, Durham, NCCalifornia Institute of Technology, PasadenaUniversity of Washington, SeattleSwarthmore College, Swarthmore, PA University of Chicago, ILUniversity of Michigan, Ann Arbor"In the reviewer's opinion, this is a superb book which makes learning a real pleasure."Revue Romaine de Mathematiques Pures et Appliquees"This main-stream 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 MathematicaeContents: Differential Manifolds * Riemannian Metrics * Affine Connections; Riemannian Connections * Geodesics; Convex Neighborhoods * Curvature * Jacobi Fields * Isometric Immersions * Complete Manifolds; Hopf-Rinow and Hadamard Theorems * Spaces of Constant Curvature * Variations of Energy * The Rauch Comparison Theorem * The Morse Index Theorem * The Fundamental Group of Manifolds of Negative Curvature * The Sphere Theorem * Index Series: Mathematics: Theory and Applications

Book News Annotation:

A translation (from the Portuguese) of the second edition of Geometria riemanniana (Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brazil, 1988), a text on the basic language of and some fundamental theorems in Riemannian geometry. Includes a substantial number of exercises.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese)

Synopsis:

Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese)

Table of Contents

Preface to the 1st edition * Preface to the 2nd edition * Preface to the English edition * How to use this book * 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 * Index

Product Details

ISBN:
9780817634902
Author:
Do Carmo, Manfredo P.
Publisher:
Birkhauser
Translator:
Flaherty, Francis
Author:
Manfredo P. Do Carmo
Author:
Manfredo Perdigao do Carmo
Author:
Fran
Author:
Manfredo Perdigao do Carmo
Author:
cis Flaherty
Author:
do Carmo, Manfredo Perdigao
Author:
Carmo, Manfredo P.
Author:
Flaherty, Francis
Location:
Boston, MA
Subject:
General
Subject:
Geometry, analytic
Subject:
Geometry - Differential
Subject:
Geometry, riemannian
Subject:
Differential geometry
Subject:
mathematical methods in physics
Subject:
Mathematics-Geometry - General
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
Mathematics and
Subject:
Statistics
Subject:
Global differential geometry.
Subject:
Mathematical Physics
Copyright:
Edition Number:
1
Edition Description:
1st ed. 1992. Corr. 14th printing 2013
Series:
Mathematics. Theory & Applications
Publication Date:
January 1992
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
315
Dimensions:
235 x 155 mm 615 gr

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Related Subjects

Reference » Science Reference » General
Science and Mathematics » Mathematics » Differential Geometry
Science and Mathematics » Mathematics » Geometry » General

Riemannian Geometry New Hardcover
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$61.25 In Stock
Product details 315 pages Birkhauser - English 9780817634902 Reviews:
"Synopsis" by , Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese)
"Synopsis" by , Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese)
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