Analytical mechanics
- 作者： Helrich, Carl S., author.
- 其他作者：
- 其他題名：
- Undergraduate lecture notes in physics.
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： Undergraduate lecture notes in physics,
- 主題： Mechanics, Analytic. , Physics. , Classical Mechanics. , Mathematical Methods in Physics. , Theoretical and Applied Mechanics.
- ISBN： 9783319444918 (electronic bk.) 、 9783319444901 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: History -- Lagrangian Mechanics -- Hamiltonian Mechanics -- Solid Bodies -- Hamilton-Jacobi Approach -- Complex Systems -- Chaos in Dynamical Systems -- Special Relativity -- Appendices -- Differential of S -- Hamilton-Jacobi Equation -- With Variables p, q, q -- Zero-Component Lemma -- Maxwell Equations from Field Strength Tensor -- Differential Operators -- Answers to Selected Exercises.
- 摘要註: 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 support the exceptionally clear and concise treatment of Analytical Mechanics.
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讀者標籤：
- 系統號： 005381197 | 機讀編目格式
館藏資訊
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 support the exceptionally clear and concise treatment of Analytical Mechanics.