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Bessel function for the drums
Lecturer : Guillame Roux
Syllabus: Course built on miscellaneous small chapters, based on examples. The goal is to recall and/or introduce useful mathematical tools with hands on.
Approximate Schedule for the 13 courses:
- 07/09 Functionals derivatives I -- tutorial
- 14/09 Functionals derivatives II
- 21/09 Lagrange multipliers and functional integration
- 28/09 Complex analysis + 30min test on 1.2.3 -- tutorial
- 05/10 Fourier transform -- tutorial
- 12/10 Principal value - Kramers-Krönig relations -- tutorial
- 19/10 Gaussian integrals
- 26/10 Steepest descent + 30min test on 4.5.6.7
- 02/11 Linear algebra
- 16/11 Landau-Zener formula
- 23/11 Orthogonal polynomials
- 30/11 Green's function
- 07/12 Differential geometry
- during the week of 08/01 3h Exam on everything
incomplete bibliography :
- Physics and Mathematical Tools: Methods and Examples -- A. Alastuey, M. Clusel, M. Magro, P. Pujol.
- Mathematical Methods for Physicists -- T. L. Chow (free pdf).
- MATHEMATICAL METHODS FOR PHYSICISTS, George B. Arfken & H. J. Weber
- Mathematics for Physics -- M. Stone & P. Goldbart (free pdf)
- Group Theory in a Nutshell for Physicists -- Anthony Zee.
Evaluation (3 ECTS)
- continuous assessment
- final exam : 3 hours, written exam