Riemannian Geometry: A Modern Introduction (Cambridge Studies in Advanced Mathematics)

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9780521619547: Riemannian Geometry: A Modern Introduction (Cambridge Studies in Advanced Mathematics)

Requiring only an understanding of differentiable manifolds, Isaac Chavel covers introductory ideas followed by a selection of more specialized topics in this second edition. He provides a clearer treatment of many topics, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. Among the classical topics shown in a new setting is isoperimetric inequalities in curved spaces. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space.

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Book Description :

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 themes are the effect of the curvature of these spaces on the usual notions of classical Euclidean geometry and the new notions and ideas motivated by curvature itself. An ambitious Notes and Exercises section is included with each chapter. The book, which could be used as the basis for a graduate course, will appeal to graduate students and researchers in differential geometry and topology, analysis and differential equations.

About the Author :

Isaac Chavel is Professor of Mathematics at The City College of the City University of New York. He received his Ph.D. in Mathematics from Yeshiva University under the direction of Professor Harry E. Rauch. He has published in international journals in the areas of differential geometry and partial differential equations, especially the Laplace and heat operators on Riemannian manifolds. His other books include Eigenvalues in Riemannian Geometry (1984) and Isoperimetric Inequalities: Differential Geometric and Analytic Perspectives (Cambridge University Press, 2001). He has been teaching at The City College of the City University of New York since 1970, and has been a member of the doctoral program of the City University of New York since 1976. He is a member of the American Mathematical Society.

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Chavel, Isaac
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Isaac Chavel
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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2006. Paperback. État : New. 2nd Revised edition. Language: English . Brand New Book ***** Print on Demand *****.This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas of Riemannian geometry followed by a selection of more specialized topics. Also featured are Notes and Exercises for each chapter, to develop and enrich the reader s appreciation of the subject. This second edition, first published in 2006, has a clearer treatment of many topics than the first edition, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. The main themes here are the effect of the curvature on the usual notions of classical Euclidean geometry, and the new notions and ideas motivated by curvature itself. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space. N° de réf. du libraire AAV9780521619547

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Isaac Chavel
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ISBN 10 : 0521619548 ISBN 13 : 9780521619547
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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2006. Paperback. État : New. 2nd Revised edition. Language: English . Brand New Book ***** Print on Demand *****. This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas of Riemannian geometry followed by a selection of more specialized topics. Also featured are Notes and Exercises for each chapter, to develop and enrich the reader s appreciation of the subject. This second edition, first published in 2006, has a clearer treatment of many topics than the first edition, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. The main themes here are the effect of the curvature on the usual notions of classical Euclidean geometry, and the new notions and ideas motivated by curvature itself. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space. N° de réf. du libraire AAV9780521619547

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Isaac Chavel
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Description du livre Cambridge Univ Pr, 2006. Paperback. État : Brand New. 2nd edition. 471 pages. 8.75x5.75x1.00 inches. In Stock. N° de réf. du libraire __0521619548

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Chavel, Isaac
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ISAAC CHAVEL
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