微分几何及其在力学中的应用

Publisher: University Press of differential geometry and its application is in the mechanics of written lectures taught the same name over the years for the Department of Mechanics. Peking University graduate and senior undergraduate courses. the book systematically introduces differential geometry the basics. The book is divided into six chapters: The first chapter describes the basic properties of the vector and tensor; given the geometry of curves and surfaces in Euclidean space; chapter introduces the concept of manifold and certain properties. such as Lie derivative of the vector nature; fourth chapter describes the manifold differential forms and exterior differential operator. and gives several important proof of the theorem; fifth chapter describes the nature of the Lie group and Lie algebra. especially in invariant theory; Chapter 6 describes the theory of dynamical...