Analytical Mechanics
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 r...
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| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Edition: | 1st ed. 2017. |
| Series: | Undergraduate Lecture Notes in Physics,
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| Online Access: | https://doi.org/10.1007/978-3-319-44491-8 |
Table of Contents:
- 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. .