Cover of E. Binz, J. Sniatycki, H.R. Fischer: Geometry of Classical Fields

E. Binz, J. Sniatycki, H.R. Fischer Geometry of Classical Fields

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Elsevier Science

2011

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978-0-08-087265-0

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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.

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