Author : Yves Talpaert
Publisher : CRC Press
Page : 480 pages
File Size : 52,7 Mb
Release : 2000-09-12
Category : Mathematics
ISBN : 0824703855
Differential Geometry with Applications to Mechanics and Physics by Yves Talpaert Pdf
An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.