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thisrod | 1 year ago
I was surprised by how many ways Sussman and Wisdom found to modernise the Landau and Lipshitz treatment. There is the obvious change, where the first time they solve some equations of motion, it's done numerically, and the solution is chaotic.
There is also a more subtle change, where they keep sneaking in the concepts of differential geometry. The word "manifold" is reserved for a footnote, but if you know what tangent spaces and sprays are, it's straightforward to translate the "local tuples" and see what they're actually talking about.
I think this is a good idea. If physics undergraduates were exposed to manifolds and tangent spaces in their analytical mechanics course, then saw some exterior calculus in their first electromagnetism course, they might be ready for curvature and geodesics when they study general relativity.
i_don_t_know|1 year ago
I haven't tried the instructions for ARM-based macOS at [6] because I'm still on Intel.
It's less convenient to run a VM than to run on macOS directly. But I prefer to sandbox "random" software that way, and some things support linux better than macOS.
[1] https://developer.apple.com/documentation/virtualization/run...
[2] http://groups.csail.mit.edu/mac/users/gjs/6946/
[3] http://groups.csail.mit.edu/mac/users/gjs/6946/installation....
[4] http://groups.csail.mit.edu/mac/users/gjs/6946/mechanics-sys...
[5] https://www.gnu.org/software/mit-scheme/documentation/stable...
[6] http://groups.csail.mit.edu/mac/users/gjs/6946/mechanics-sys...
(You have to install texinfo for the online documentation part of [5]. Skip the 'install-pdf' documentation target if you don't want to depend on tex/latex.)
westurner|1 year ago
hnarayanan|1 year ago
https://github.com/hnarayanan/sicm
thisrod|1 year ago