Mathematical tools: Difference between revisions

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'''incomplete bibliography''' :
'''incomplete bibliography''' :
* [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.
* [http://physics.bgu.ac.il/~gedalin/Teaching/Mater/mmp.pdf Mathematical Methods for Physicists] -- T. L. Chow (free pdf).
* [http://physics.bgu.ac.il/~gedalin/Teaching/Mater/mmp.pdf Mathematical Methods for Physicists] -- T. L. Chow '''(free pdf)'''.
* [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
* [http://www.goldbart.gatech.edu/PostScript/MS_PG_book/bookmaster.pdf Mathematics for Physics] -- M. Stone & P. Goldbart '''(free pdf)'''
* [https://press.princeton.edu/titles/10773.html Group Theory in a Nutshell for Physicists] -- Anthony Zee.
* [https://press.princeton.edu/titles/10773.html Group Theory in a Nutshell for Physicists] -- Anthony Zee.



Revision as of 15:40, 5 October 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.

Schedule for the 13 courses:

  • 07/09 Functionals derivatives I
  • 14/09 Functionals derivatives II
  • 21/09 Lagrange multipliers and functional integration
  • 28/09 Complex analysis + 30min test on 1.2.3
  • 05/10 Fourier transform
  • 12/10 Linear response and Kramers-Krönig relations
  • 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
  • 21/12 3h Exam on everything (date to be confirmed)

incomplete bibliography :

Evaluation (3 ECTS)

  • continuous assessment
  • final exam : 3 hours, written exam