Riemannian Geometry A Modern Introduction~tqw~ darksiderg

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  Riemannian Geometry A Modern Introduction~tqw~ darksiderg
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  2.5 MB
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• Added:
  09/10/2008
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  *******************************************************************************<br /> Riemannian Geometry: A Modern Introduction <br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 2,596,904 bytes<br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> This book provides an introduction to Riemannian geometry, the geometry of <br /> curved spaces. Its main theme is the effect of the curvature of these spaces on <br /> the usual notions of geometry - distances, areas, and volumes - and on those new <br /> notions and ideas motivated by curvature itself. Among the more specialized <br /> classical topics in a new setting are volume-comparison theorems, and <br /> isoperimetric inequalities - the interplay of curvature with volume of sets and <br /> the areas of their boundaries. Completely new themes created by curvature <br /> include the interaction of microscopic behavior of the geometry with the <br /> macroscopic structure of the space. After considering those topics which would <br /> form the core of an introductory course, the book emphasizes more specialized <br /> topics, here treated in book form for the first time. Also featured is a <br /> nontraditional Notes and Exercises section for each chapter, to develop and <br /> enrich the readers appetite for and appreciation of the subject. <br /> <br /> Table of Contents<br /> Preface <br /> 1 Riemannian manifolds 1<br /> 2 Riemannian curvature 49<br /> 3 Riemannian volume 101<br /> 4 Riemannian coverings 172<br /> 5 The kinematic density 219<br /> 6 Isoperimetric inequalities 262<br /> 7 Comparison and finiteness theorems 315<br /> Hints and sketches of solutions 355<br /> Bibliography 371<br /> Index 383<br /> <br /> Product Details<br /> <br /> * ISBN: 0521853680<br /> * ISBN-13: 9780521853682<br /> * Format: Hardcover, 488pp<br /> * Publisher: Cambridge University Press<br /> * Pub. Date: March 2006<br /> * Edition Description: REV<br /> * Edition Number: 2<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader
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