Mathematical tools: Difference between revisions
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Approximate Schedule for the 13 courses: | Approximate Schedule for the 13 courses: | ||
* | * ??/09 Functionals derivatives I -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDvariation.pdf tutorial] | ||
* | * ??/09 Functionals derivatives II | ||
* | * ??/09 Lagrange multipliers and functional integration | ||
* | * ??/09 Complex analysis + '''30min test on 1.2.3''' -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDcomplex.pdf tutorial] | ||
* | * ??/10 Fourier transform -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDFourier.pdf tutorial] | ||
* | * ??/10 Principal value -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDkramers.pdf tutorial] | ||
* | * ??/10 Kramers-Krönig relations | ||
* | * ??/10 Gaussian integrals + '''60min test on 4.5.6.7''' | ||
* | * ??/11 Wick's theorem -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDsteepest.pdf tutorial] | ||
* | * ??/11 Saddle points methods | ||
* | * ??/11 Linear algebra -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDlinearAlgebra.pdf tutorial] | ||
* | * ??/11 Green's function: static case -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDGreenFunction.pdf tutorial] | ||
* | * ??/12 Green's function: causality and propagation | ||
* | * ??/01 '''Final Exam (3h)''' on everything | ||
'''incomplete bibliography''' : | '''incomplete bibliography''' : | ||
Revision as of 15:15, 9 July 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.
Approximate Schedule for the 13 courses:
- ??/09 Functionals derivatives I -- tutorial
- ??/09 Functionals derivatives II
- ??/09 Lagrange multipliers and functional integration
- ??/09 Complex analysis + 30min test on 1.2.3 -- tutorial
- ??/10 Fourier transform -- tutorial
- ??/10 Principal value -- tutorial
- ??/10 Kramers-Krönig relations
- ??/10 Gaussian integrals + 60min test on 4.5.6.7
- ??/11 Wick's theorem -- tutorial
- ??/11 Saddle points methods
- ??/11 Linear algebra -- tutorial
- ??/11 Green's function: static case -- tutorial
- ??/12 Green's function: causality and propagation
- ??/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