Mathematical tools: Difference between revisions
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'''2018-2019''': Approximate Schedule for the 13 courses: | '''2018-2019''': Approximate Schedule for the 13 courses: | ||
* 06/09 Functionals derivatives I | * 06/09 Functionals derivatives I -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDvariation.pdf tutorial] | ||
* 13/09 Functionals derivatives II | * 13/09 Functionals derivatives II | ||
* 20/09 | * 20/09 Continuous groups and Lie algebra -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDgroup.pdf notes & tutorial] | ||
* 27/09 Complex analysis + '''30min test on 1.2 | * 27/09 Complex analysis + '''30min test on 1.2''' -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDcomplex.pdf notes & tutorial] | ||
* 04/10 Fourier transform <!-- -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDFourier.pdf tutorial]--> | * 04/10 Fourier transform <!-- -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDFourier.pdf tutorial]--> | ||
* 11/10 Principal value <!-- -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDkramers.pdf tutorial]--> | * 11/10 Principal value <!-- -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDkramers.pdf tutorial]--> | ||
Revision as of 14:56, 20 September 2018
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.
2018-2019: Approximate Schedule for the 13 courses:
- 06/09 Functionals derivatives I -- tutorial
- 13/09 Functionals derivatives II
- 20/09 Continuous groups and Lie algebra -- notes & tutorial
- 27/09 Complex analysis + 30min test on 1.2 -- notes & tutorial
- 04/10 Fourier transform
- 11/10 Principal value
- 18/10 Kramers-Krönig relations
- 25/10 Gaussian integrals and Wick's theorem + 60min test on 4.5.6.7
- 08/11 Saddle points methods
- 15/11 Linear algebra
- 22/11 Green's function: static case
- 29/11 Green's function: causality and propagation
- 06/12 Orthogonal polynomials and Special functions
- ??/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)
- Mathematical physics: a modern introduction to its foundations -- S. Hassani
- Mathematical Methods: For Students of Physics and Related Fields -- S. Hassani
- 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