Selected lecture notes and problems from Classical Dynamics (PHY 520), taught by Professor Gerhard Müller at the University of Rhode Island.
Some Relevant Textbooks and Monographs:
H. Goldstein: Classical Mechanics. Addison Wesley, 1981.
I. Percival and D. Richards: Introduction to Dynamics. Cambridge University Press, 1982.
L. D. Landau and E. M. Lifshitz: Mechanics. Pergamon Press, 1976.
J. V. José and E. J. Saletan: Classical Dynamics: A Contemporary Approach. Cambridge University Press, 1998.
J. L. McCauley: Classical Mechanics: Transformation, Flows, Integrable and Chaotic Dynamics. Cambridge University Press, 1997.
D. T. Greenwood: Classical Dynamics. Dover Publications, 1997.
J. B. Kogut: Introduction to Relativity. Harcourt/Academic Press, 2001.
Friedhelm Kuypers: Klassische Mechanik. Wiley-VCH, 1997.
Some Relevant Monographs
V. I. Arnold: Mathematical Methods of Classical Mechanics. Springer-Verlag, 1978.
A. J. Lichtenberg and M. A. Lieberman: Regular and Stochastic Motion. Springer-Verlag, 1983.
R. C. Hilborn: Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers. 2nd edition. Oxford University Press, 2000.
R. C. Hilborn and N. B. Tufillaro (Eds.): Chaos and Nonlinear Dynamics. (collection of reprinted articles) AAPT Publication, 1999.
M. Tabor: Chaos and Integrability in Nonlinear Dynamics – An Introduction. Wiley, 1989.
R. H. Abraham and C. D. Shaw: Dynamics – The Geometry of Behavior. Aerial Press, Santa Cruz, 1984.
Do you have a questions about any of the problems [mex]? Do you need a hint? Do you wish to suggest additional problems? Do you have a question about the lecture notes [mln, msl]? Did you find any mistakes? Drop a note to gmuller@uri.edu
Submissions from 2015
01. Newtonian Mechanics, Gerhard Müller
02. Newtonian Gravitation, Gerhard Müller
03. Simple Dynamical Systems, Gerhard Müller
04. Fixed Points and Limit Cycles, Gerhard Müller
05. Lagrangian Mechanics I, Gerhard Müller
06. Lagrangian Mechanics II, Gerhard Müller
07. Lagrangian Mechanics III, Gerhard Müller
08. Central Force Motion I, Gerhard Müller
09. Central Force Motion II, Gerhard Müller
10. Scattering from Central Force Potential, Gerhard Müller
11. Dynamics in Rotating Frames of Reference, Gerhard Müller
12. Rigid Body Dynamics I, Gerhard Müller
13. Rigid Body Dynamics II, Gerhard Müller
14. Oscillations, Gerhard Müller
15. Hamiltonian Mechanics, Gerhard Müller
16. Canonical Transformations, Gerhard Müller
17. Action-Angle Coordinates, Gerhard Müller
18. Hamilton-Jacobi Theory, Gerhard Müller
19. Deterministic Chaos, Gerhard Müller
20. Relativistic Mechanics I, Gerhard Müller
21. Relativistic Mechanics II, Gerhard Müller