| 期刊全称 | Analytical Mechanics | | 影响因子2023 | Carl S. Helrich | | 视频video | | | 发行地址 | Leaps directly into the variational approach, bypassing the Newtonian approach entirely, making this book stand out from its competitors.Applies a unique approach to teaching mechanics to advanced und | | 学科分类 | Undergraduate Lecture Notes in Physics | | 图书封面 |  | | 影响因子 | .This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton‘s Principle and the canonical equations remain the basis of the remainder of the text..Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance..The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi..Numerous exercises with solutions supportthe exceptionally clear and concise treatment of Analytical Mechanics.. . . | | Pindex | Textbook 2017 |
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发表于 2025-3-21 17:49:14
