This book provides an introduction to Riemannian geometry, the geometry of curved spaces. As such, its main theme is the effect of the curvature of these spaces on the usual notions of geometry - angles, lengths, areas and volumes - and those new notions and ideas motivated by curvature itself. Among the specialized classical topics in this new setting is isoperimetric inequalities, that is, the interplay of curvature with the volume of sets and the areas of their boundaries. Completely new themes, created by curvature, ...
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This book provides an introduction to Riemannian geometry, the geometry of curved spaces. As such, its main theme is the effect of the curvature of these spaces on the usual notions of geometry - angles, lengths, areas and volumes - and those new notions and ideas motivated by curvature itself. Among the specialized classical topics in this new setting is isoperimetric inequalities, that is, the interplay of curvature with the volume of sets and the areas of their boundaries. Completely new themes, created by curvature, include local versus global geometric properties, that is, the interaction of the microscopic behaviour 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 which have yet to be treated in book form. Also featured is an ambitious and non-traditional notes and exercises section for each chapter, to develop and enrich the reader's appetite for, and appreciation of the subject.
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Add this copy of Riemannian Geometry: a Modern Introduction (Volume 108) to cart. $54.20, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1997 by Cambridge University Press.
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Seller's Description:
Volume 108. This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 650grams, ISBN: 9780521485784.
Add this copy of Riemannian Geometry: a Modern Introduction (Cambridge to cart. $66.26, very good condition, Sold by Browsers' Bookstore rated 5.0 out of 5 stars, ships from Albany, OR, UNITED STATES, published 1995 by Cambridge University Press.
Add this copy of Riemannian Geometry: a Modern Introduction (Cambridge to cart. $73.85, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1995 by Cambridge University Press.
