Differential geometry with applications to mechanics and physics
Talpaert, Yves
Differential geometry with applications to mechanics and physics - Boca Raton CRC Press 2001 - 454P.
https://www.routledge.com/Differential-Geometry-with-Applications-to-Mechanics-and-Physics/Talpaert/p/book/9780824703851
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.
9780367826154
Geometry, Differential
Mathematical analysis
516.36 / TAL
Differential geometry with applications to mechanics and physics - Boca Raton CRC Press 2001 - 454P.
https://www.routledge.com/Differential-Geometry-with-Applications-to-Mechanics-and-Physics/Talpaert/p/book/9780824703851
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.
9780367826154
Geometry, Differential
Mathematical analysis
516.36 / TAL