Geometric Analysis

出版者:Cambridge University Press

作者:Peter Li

页数:416

出版时间:2012-6-29

价格:USD 75.00

装帧:Hardcover

isbn号码:9781107020641

丛书系列:Cambridge Studies in Advanced Mathematics

图书标签:数学几何微分几何7几何分析偏微分方程GeometricGACambridge

The aim of this graduate-level text is to equip the reader with the basic tools and techniques needed for research in various areas of geometric analysis. Throughout, the main theme is to present the interaction of partial differential equations and differential geometry. More specifically, emphasis is placed on how the behavior of the solutions of a PDE is affected by the geometry of the underlying manifold and vice versa. For efficiency the author mainly restricts himself to the linear theory and only a rudimentary background in Riemannian geometry and partial differential equations is assumed. Originating from the author's own lectures, this book is an ideal introduction for graduate students, as well as a useful reference for experts in the field.

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