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Mathematical Physics

Course material from my mathematical physics class and related info

Prerequisites

  • Python materials
    • Install the Anaconda Python distribution
    • Either JakeVdP's notes, or Software Carpentry notes, or something similar.
    • (From a previous year, when we brought Software Carpentry to campus) The two-day Python Workshop, led by Software Carpentry hosted on Earlham's campus, January 11-12, 2015 (that's the Sunday/Monday before Spring classes, so housing should not be a problem). The ability to build and tweak simple computational models greatly expands the types of questions you can ask (and answer!) by yourself. We will use a series of IPython Notebooks throughout the semester, and this two-day bootcamp will teach you all the Python you need to get started right away. Students with previous Python experience can discuss opting out with the instructor. Students who absolutely cannot make it to the Bootcamp can discuss working independently with the instructor to catch up very early on in the semester.

Convolutions

Our notebook on convolutions may be found here

Resources for Independent Projects

Bayesian Estimation

FFT

  • "The Fast Fourier Transform and Its Applications" by E. Oran Brigham, 1998, ISBN 10: 0133075052 / ISBN 13: 9780133075052

More advanced Noether's Theorem

Normal mode analysis

  • Should be able to use some of John's material for a very nice stock project, then ENM models as an extension.

QM/Pi/Wallace

Frenel

Wavelets