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F5510 Analytical Mechanics
Exercises: Wednesdays 17:00-18:00.
Lectures : Wednesdays 18:00-20:00.
Both lectures and exercises take place in FLenc, 3rd floor, building 6.
Course Plan, Fall 2023:
Wednesday 20.09.23 at 17:00
Cancelled.
Wednesday 27.09.23 at 17:00
Cancelled.
The course is cancelled for this semester!
Course Material:
[G2]:
Herbert Goldstein, "Classical Mechanics", Eds. 2.
[G3]:
Herbert Goldstein, "Classical Mechanics", Eds. 3. (Click here for a list of corrections).
[LL1]:
Landau and Lifshitz, Vol. 1, "Mechanics".
[LL2]:
Landau and Lifshitz, Vol. 2, "The Classical Theory of Fields".
[KB]:
Klaus Bering, "Noether's Theorem for a Fixed Region", arXiv:0911.0169 .
Nota Bene:
1. All references to [LL2] should be considered supplementary reading,
as the presentation during the lectures differs substantially.
2. What Goldstein [G3] calls "Hamilton's principle" is usually called the
"principle of stationary/least action".
3. What Goldstein [G3] calls "principle of least action" [G3] 8.6, is usually
called the "principle of abbreviated action" or "Maupertuis' principle".
4. Note that Poisson brackets in [LL1] have the opposite sign convention.
5. The treatment of Lagrange equations for semi-holonomic & non-holonomic
constraints in [G3] 2.4 is inconsistent with Newton's laws,
and has been retracted on [G3]'s
errata homepage .
For more info, see also M.R. Flannery, "The enigma of nonholonomic constraints",
Am. J. Phys. 73 (2005) 265 .
Supplementary References:
[JS]:
J.V. Jose and E.J. Saletan, "Classical Dynamics: A Contemporary Approach", 1998.
[L]:
N.A. Lemos, "Analytical Mechanics", 2018.
[M]:
P. Mann, "Lagrangian and Hamiltonian dynamics", 2018.
[SWM]:
G.J. Sussman and J. Wisdom with M.E. Mayer, "Structure and Interpretation of Classical Mechanics", html .