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Geometry of Classical Fields

1st Edition, Volume 154 - April 1, 2000

Authors: E. Binz, J. Sniatycki, H.R. Fischer

Language: English
eBook ISBN:
9 7 8 - 0 - 0 8 - 0 8 7 2 6 5 - 0

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… Read more

Geometry of Classical Fields

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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.