TY - BOOK AU - Talpaert, Yves TI - Differential geometry with applications to mechanics and physics SN - 9780367826154 U1 - 516.36 PY - 2001/// CY - Boca Raton PB - CRC Press KW - Geometry, Differential KW - Mathematical analysis N1 - https://www.routledge.com/Differential-Geometry-with-Applications-to-Mechanics-and-Physics/Talpaert/p/book/9780824703851 N2 - 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 ER -