Books > Science & Mathematics > Physics > Classical mechanics > Analytical mechanics
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Gauge Mechanics (Hardcover)
Loot Price: R2,089
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Gauge Mechanics (Hardcover)
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This book presents in a unified way modern geometric methods in
analytical mechanics based on the application of fibre bundles, jet
manifold formalism and the related concept of connection.
Non-relativistic mechanics is seen as a particular field theory
over a one-dimensional base. In fact, the concept of connection is
the major link throughout the book. In the gauge scheme of
mechanics, connections appear as reference frames, dynamic
equations, and in Lagrangian and Hamiltonian formalisms.
Non-inertial forces, energy conservation laws and other phenomena
related to reference frames are analyzed; that leads us to
observable physics. The gauge formulation of classical mechanics is
extended to quantum mechanics under different reference frames.
Special topics on geometric BRST mechanics, relativistic mechanics
and others, together with many examples, are also dealt with.
General
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