ENGLISH

Advances in Mathematical Modelling of Composite Materials

By Konstantin Z Markov (ed.)

Book information

Publisher
World Scientific
Year
1994
ISBN
9810216440, 9789810216443
Language
english
Format
PDF
Filesize
86 MB (89863804 bytes)
Series
Series on advances in mathematics for applied sciences, v. 15
Pages
298\298
Time added
2012-12-29 17:00:00
Физика;Физика твердого тела

Description

This text 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 ion Lagrangian and Hamiltonian formalisms. Non-inertial forces, energy conservation laws and other phenomena related to reference frames are analyzed; that leads the reader 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

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