拉格朗日及汉密尔敦力学LAGRANGIAN AND HAMILTONIAN MECHANICS 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Calkin, M.G. 作者

World Scientific Pub Co Inc

译者

1996-12 出版日期

215 页数

265.00元价格

HRD

丛书系列

9789810226725 图书编码

拉格朗日及汉密尔敦力学LAGRANGIAN AND HAMILTONIAN MECHANICS 在线电子书图书标签: 数学分析力学

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拉格朗日及汉密尔敦力学LAGRANGIAN AND HAMILTONIAN MECHANICS 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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拉格朗日及汉密尔敦力学LAGRANGIAN AND HAMILTONIAN MECHANICS 在线电子书图书描述

This book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent research. The discussions of topics such as invariance, Hamiltonian-Jacobi theory, and action-angle variables is especially complete; the last includes a discussion of the Hannay angle, not found in other texts. The final chapter is an introduction to the dynamics of nonlinear nondissipative systems. Connections with other areas of physics which the student is likely to be studying at the same time, such as electromagnetism and quantum mechanics, are made where possible. There is thus a discussion of electromagnetic field momentum and mechanical hidden momentum in the quasi-static interaction of an electric charge and a magnet. This discussion, among other things explains the "(e/c)A" term in the canonical momentum of a charged particle in an electromagnetic field. There is also a brief introduction to path integrals and their connection with Hamilton's principle, and the relation between the Hamilton-Jacobi equation of mechanics, the eikonal equation of optics, and the Schrodinger equation of quantum mechanics.

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