期刊全称 | A Primer of Analytical Mechanics | 影响因子2023 | Franco Strocchi | 视频video | | 发行地址 | Examines the physical motivations for Lagrangian and Hamiltonian mechanics.Emphasizes the effectiveness of Analytical Mechanics for solving mechanical problems with regard to the Cartesian Newtonian a | 学科分类 | UNITEXT for Physics | 图书封面 |  | 影响因子 | .This book presents the basic elements of Analytical Mechanics, starting from the physical motivations that favor it with respect to the Newtonian Mechanics in Cartesian coordinates. Rather than presenting Analytical Mechanics mainly as a formal development of Newtonian Mechanics, it highlights its effectiveness due to the following five important achievements: 1) the most economical description of time evolution in terms of the minimal set of coordinates, so that there are no constraint forces in their evolution equations; 2) the form invariance of the evolution equations, which automatically solves the problem of fictitious forces; 3) only one scalar function encodes the formulation of the dynamics, rather than the full set of vectors which describe the forces in Cartesian Newtonian Mechanics; 4) in the Hamiltonian formulation, the corresponding evolution equations are of first order in time and are fully governed by the Hamiltonian function (usually corresponding to the energy); 5) the emergence of the Hamiltonian canonical algebra and its effectiveness in simplifying the control of the dynamical problem (e.g. the constant of motions identified by the Poisson brackets with the H | Pindex | Textbook 2018 |
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