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Mechanics (Tensors and Virtual Works)

Mechanics (Tensors and Virtual Works)
Additional Information
Author Yves R. Talpaert
Publisher Cambridge International Science Publishing
ISBN-10 8130909405
ISBN-13 9788130909400
Binding Hardcover
Product Dimensions 153 x 229 mm
Pages 474
Rs. 3,620.00
price subject to change
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Mechanics (Tensors and Virtual Works)


Book: Mechanics (Tensors and Virtual Works)
Mechanics, Tensors & Virtual Works is designated to be used for a first one-semester course in Mechanics at the upper undergraduate level. It is intended for third year students in mathematics, physics and engineering. Most of the text comes from this level courses that the author taught at universities and engineering schools. In the particular case where such a course cannot be taught to engineers, a lot of introduced matters constitute the mathematical and mechanical bases of applied engineering mechanics. The various chapters connect the notions of mechanics of first and second year with the ones which are developed in more specialized subjects as continuum mechanics at first, and fluid-dynamics, quantum mechanics, special relativity, general relativity, electromagnetism, stellar dynamics, celestial mechanics, meteorology, applied differential geometry, and so on. Mechanics, Tensors and Virtual Works is designed for the second part of an intermediate course in mechanics at the undergraduate level in mathematics and physics, and engineering too. Given its high level of pedagogy and numerous solved problems, this is also suitable for self-taught people having a background of theoretical mechanics. This course of Analytical Mechanics is the ideal mathematical and mechanical preparation for physics disciplines as continuum mechanics, fluid-dynamics, special relativity, general relativity, celestial mechanics, quantum mechanics…… The Virtual Work methods in Static and Tensors are introduced mathematical "tools" which give the mechanics treated subjects a great unity. So, Mass Geometry, Inertia Tensor, Kinetics and Dynamics of Systems are developed in the tensor context. The intensive use of the tensor calculus (with dual space, canonical isomorphism, exterior algebra, metric, covariant derivatives, volume form and adjoint, differential operations,…) contributes to reduce the gap between first and second academic cycles. Compiling data on Lagrangian Dynamics and Variational Principles, this book thoroughly covers d’Alembert-Lagrange principle, Lagrange’s equations, adjoint Lagrangian and first integrals, Euler equations, Hamilton’s variational principle, one-parameter group of diffeomorphisms, Euler-Noether theorem,… Also Hamiltonian Mechanics with N-body problem, Legendre transformation and Hamiltonian canonical equations, Liouville’s theorem in statistical mechanics, Largange and Poisson brackets, canonical transformations, Hamilton-Jacobi equation, separability,… About Author: Yves R. Talpaert received his MS (1968), ‘Agregation’ (1968), and PhD (1974) degrees in applied mathematics from Brussels University, where he taught for a few years. A past Professor at Algiers University and other universities and engineering institutes in Africa, he is a prolific French author of books on mechanics and differential geometry. He has written papers on dynamics applied to astonomy where he expounded an original fluid-dynamical approach, statistical mechanics models, a variational principle and soon.

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