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. | ||
** Mathematical Methods for Physicists -- T. L. Chow. | ** [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 | ||
** [www.goldbart.gatech.edu/PostScript/MS_PG_book/bookmaster.pdf Mathematics for Physics] -- M. Stone & P. Goldbart | |||
** Group Theory in a Nutshell for Physicists -- Anthony Zee. | ** Group Theory in a Nutshell for Physicists -- Anthony Zee. | ||
Revision as of 16:32, 5 October 2017
Bessel function for the drums
- tutor : 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.
- Functionals : derivation, integration and constraints.
- Matrices : exponential, determinants.
- Around the gaussian, steepest descent method.
- Hilbert spaces, linear operators, distributions, orthogonal polynomials.
- Complex analysis : analycity, calculus.
- Differential equations : Green's function, method of characteristics, non-linear examples.
- Differential geometry : line, surface, volume, curvature, orthogonal coordinates.
- Functions : homogeneous functions, some special functions.
- Elements of group theory.
- incomplete bibliography :
- Physics and Mathematical Tools: Methods and Examples -- A. Alastuey, M. Clusel, M. Magro, P. Pujol.
- Mathematical Methods for Physicists -- T. L. Chow (free pdf).
- MATHEMATICAL METHODS FOR PHYSICISTS, George B. Arfken & H. J. Weber
- [www.goldbart.gatech.edu/PostScript/MS_PG_book/bookmaster.pdf Mathematics for Physics] -- M. Stone & P. Goldbart
- Group Theory in a Nutshell for Physicists -- Anthony Zee.
- Evaluation (3 ECTS)
- a few exercices during the tutorials
- final exam : 3 hours, written exam