Mathematical tools: Difference between revisions
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* [https://www.elsevier.com/books/mathematical-methods-for-physicists/arfken/978-0-12-384654-9 MATHEMATICAL METHODS FOR PHYSICISTS], George B. Arfken & H. J. Weber | * [https://www.elsevier.com/books/mathematical-methods-for-physicists/arfken/978-0-12-384654-9 MATHEMATICAL METHODS FOR PHYSICISTS], George B. Arfken & H. J. Weber | ||
* [http://www.goldbart.gatech.edu/PostScript/MS_PG_book/bookmaster.pdf Mathematics for Physics] -- M. Stone & P. Goldbart '''(free pdf)''' | * [http://www.goldbart.gatech.edu/PostScript/MS_PG_book/bookmaster.pdf Mathematics for Physics] -- M. Stone & P. Goldbart '''(free pdf)''' | ||
* [http://www.springer.com/us/book/9783319011943 Mathematical physics: a modern introduction to its foundations] -- S. Hassani | |||
* [http://www.springer.com/gp/book/9780387095035 Mathematical Methods: For Students of Physics and Related Fields] -- S. Hassani | |||
* [http://www.worldscientific.com/worldscibooks/10.1142/9733 Physics and Mathematical Tools: Methods and Examples] -- A. Alastuey, M. Clusel, M. Magro, P. Pujol. | * [http://www.worldscientific.com/worldscibooks/10.1142/9733 Physics and Mathematical Tools: Methods and Examples] -- A. Alastuey, M. Clusel, M. Magro, P. Pujol. | ||
* [https://press.princeton.edu/titles/10773.html Group Theory in a Nutshell for Physicists] -- Anthony Zee. (if you want to learn group theory) | * [https://press.princeton.edu/titles/10773.html Group Theory in a Nutshell for Physicists] -- Anthony Zee. (if you want to learn group theory) | ||
Revision as of 11:42, 11 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: static case -- tutorial
- 07/12 Green's function: causality and propagation
- 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)
- 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