Mathematical tools: Difference between revisions
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* 12/10 Principal value -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDkramers.pdf tutorial] | * 12/10 Principal value -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDkramers.pdf tutorial] | ||
* 19/10 Kramers-Krönig relations | * 19/10 Kramers-Krönig relations | ||
* 26/10 Gaussian integrals + '''60min test on 4.5.6.7'''-- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDsteepest.pdf tutorial] | * 26/10 Gaussian integrals + '''60min test on 4.5.6.7''' | ||
* 02/11 Wick's theorem -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDsteepest.pdf tutorial] | |||
* 16/11 Saddle points methods | * 16/11 Saddle points methods | ||
* 23/11 Linear algebra | * 23/11 Linear algebra -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDLinearAlgebra.pdf tutorial] | ||
* 30/11 Green's function | * 30/11 Green's function -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDGreenFunction.pdf tutorial] | ||
* 07/12 Orthogonal polynomials | * 07/12 Orthogonal polynomials | ||
* 10/01 '''Final Exam (3h)''' on everything | * 10/01 '''Final Exam (3h)''' on everything |
Revision as of 18:57, 4 December 2017

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 -- tutorial
- 19/10 Kramers-Krönig relations
- 26/10 Gaussian integrals + 60min test on 4.5.6.7
- 02/11 Wick's theorem -- tutorial
- 16/11 Saddle points methods
- 23/11 Linear algebra -- tutorial
- 30/11 Green's function -- tutorial
- 07/12 Orthogonal polynomials
- 10/01 Final Exam (3h) on everything
incomplete bibliography :
- 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)
- Physics and Mathematical Tools: Methods and Examples -- A. Alastuey, M. Clusel, M. Magro, P. Pujol.
- Group Theory in a Nutshell for Physicists -- Anthony Zee. (if you want to learn group theory)
Evaluation (3 ECTS)
- continuous assessment
- final exam : 3 hours, written exam