Geometric Analysis

Hardback

Main Details

Title Geometric Analysis
Authors and Contributors      By (author) Peter Li
SeriesCambridge Studies in Advanced Mathematics
Physical Properties
Format:Hardback
Pages:418
Dimensions(mm): Height 229,Width 152
Category/GenreCalculus and mathematical analysis
Geometry
ISBN/Barcode 9781107020641
ClassificationsDewey:515.1
Audience
Postgraduate, Research & Scholarly

Publishing Details

Publisher Cambridge University Press
Imprint Cambridge University Press
Publication Date 3 May 2012
Publication Country United Kingdom

Description

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.

Author Biography

Peter Li is Chancellor's Professor at the University of California, Irvine.

Reviews

"This monograph is a beautiful introduction to geometric analysis." Frederic Robert, Mathematical Reviews