Physics | 8.03 Physics III: Vibrations and Waves, Fall 2004. Physics | 8.01SC Physics I: Classical Mechanics, Fall 2010. Classical Mechanics | Lecture 1. Classical Mechanics. John Baez Here are some course notes and homework problems for a mathematics graduate course on classical mechanics. There are two versions of the course: The second course reviews a lot of basic differential geometry.
But, if you'd like to study these courses on your own and don't feel comfortable with manifolds, vector fields, differential forms and vector bundles, you might try the following texts, in rough order of increasing sophistication: Gregory L. Naber, Topology, Geometry and Gauge Fields: Foundations, Springer, Berlin, 1997. Chris Isham, Modern Differential Geometry for Physicists, World Scientific Press, Singapore, 1999.
Everyone should read some books on classical mechanics, too! Herbert Goldstein, Charles Poole, and John Safko, Classical Mechanics, Addison Wesley, San Francisco, 2002. And here's a famous book that's closer to the style of this course: Vladimir I. Lagrangian approach Here are Derek's original hand-written notes: Homework on A spring in imaginary time. Home. Shiraz Minwalla - Classical Mechanics - 2010.