Mathematical tools: Difference between revisions

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* 30/11 Green's function
* 30/11 Green's function
* 07/12 Orthogonal polynomials
* 07/12 Orthogonal polynomials
* during the week of 08/01 '''3h Exam''' on everything
* 10/01 '''Final Exam (3h)''' on everything


'''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://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 '''(free pdf)'''
* [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.
* [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)


'''Evaluation''' (3 ECTS)
'''Evaluation''' (3 ECTS)
* continuous assessment
* continuous assessment
* final exam : 3 hours, written exam
* final exam : 3 hours, written exam

Revision as of 11:07, 22 November 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-- tutorial
  • 02/11 Wick's theorem
  • 16/11 Saddle points methods
  • 23/11 Linear algebra
  • 30/11 Green's function
  • 07/12 Orthogonal polynomials
  • 10/01 Final Exam (3h) on everything

incomplete bibliography :

Evaluation (3 ECTS)

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