Handbook of geometry analysis. 几何分析手册 (第1卷) / Vol.1 =
作者： editors, Lizhen Ji ...[et al].
出版社：
简介：
《handbook of geometric analysis》主要内容：the launch of this advanced lectures in mathematics series is aimed at keeping mathematicians informed of the latest developments in mathematics, as well as to aid in the learning of new mathematical topics by students all over the world. each volume consists of either an expository monograph or a collection of signifi-cant introductions to important topics. this series emphasizes the history and sources of motivation for the topics under discussion, and also gives an overview of the current status of research in each particular field. these volumes are the first source to which people will turn in order to learn new subjects and to dis-cover the latest results of many cutting-edge fields in mathematics.geometric analysis combines differential equations and differential geometry. an important aspect is to solve geometric problems by studying differential equations.
besides some known linear differential operators such as the laplace operator,many differential equations arising from differential geometry are nonlinear. a particularly important example is the monge-ampere equation. applications to geometric problems have also motivated new methods and techniques in differen-tial equations. the field of geometric analysis is broad and has had many striking applications. this handbook of geometric analysis provides introductions to and surveys of important topics in geometric analysis and their applications to related fields which is intend to be referred by graduate students and researchers in related areas...
