Geometry of classical fields [E-Book] / Ernst Binz, Jedrzej Sniatycki, Hans Fischer.
Binz, Ernst,
Sniatycki, Jedrzej. / Fischer, Hans,
Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; 1988
Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1 online resource (xviii, 450 p.)
North-Holland mathematics studies ; 154
Notas de matematica ; 123
Full Text
This volume is an introduction to differential methods in physics. Part I contains a comprehensive presentation of the geometry of manifolds and Lie groups, including infinite dimensional settings. The differential geometric notions introduced in Part I are used in Part II to develop selected topics in field theory, from the basic principles up to the present state of the art. This second part is a systematic development of a covariant Hamiltonian formulation of field theory starting from the principle of stationary action.