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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.
Buchkauf
A Primer of Analytical Mechanics, Franco Strocchi
- Sprache
- Erscheinungsdatum
- 2018
- product-detail.submit-box.info.binding
- (Hardcover)
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- Titel
- A Primer of Analytical Mechanics
- Sprache
- Englisch
- Autor*innen
- Franco Strocchi
- Verlag
- Springer, Berlin
- Erscheinungsdatum
- 2018
- Einband
- Hardcover
- Seitenzahl
- 114
- ISBN13
- 9783319737607
- Kategorie
- Naturwissenschaften
- Beschreibung
- 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.