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Focusing on the advantages of Analytical Mechanics over Newtonian Mechanics, the book emphasizes its efficiency in describing motion through a minimal set of coordinates, eliminating constraint forces. It highlights the form invariance of evolution equations, which addresses fictitious forces, and presents dynamics through a single scalar function instead of multiple vectors. The Hamiltonian formulation is explored, showcasing first-order time evolution governed by the Hamiltonian function. Additionally, it discusses Hamiltonian canonical algebra's role in simplifying dynamical problems and linking symmetries to conservation laws.
Nákup knihy
A Primer of Analytical Mechanics, Franco Strocchi
- Jazyk
- Rok vydania
- 2018
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- Titul
- A Primer of Analytical Mechanics
- Jazyk
- anglicky
- Autori
- Franco Strocchi
- Vydavateľ
- Springer, Berlin
- Rok vydania
- 2018
- Väzba
- pevná
- Počet strán
- 114
- ISBN13
- 9783319737607
- Kategórie
- Príroda všeobecne
- Anotácia
- Focusing on the advantages of Analytical Mechanics over Newtonian Mechanics, the book emphasizes its efficiency in describing motion through a minimal set of coordinates, eliminating constraint forces. It highlights the form invariance of evolution equations, which addresses fictitious forces, and presents dynamics through a single scalar function instead of multiple vectors. The Hamiltonian formulation is explored, showcasing first-order time evolution governed by the Hamiltonian function. Additionally, it discusses Hamiltonian canonical algebra's role in simplifying dynamical problems and linking symmetries to conservation laws.