Mathematical tools: Difference between revisions
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* '''incomplete bibliography''' : | * '''incomplete bibliography''' : | ||
** 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. | ** Mathematical Methods for Physicists -- T. L. Chow. | ||
** Group Theory in a Nutshell for Physicists -- Anthony Zee. | ** Group Theory in a Nutshell for Physicists -- Anthony Zee. | ||
Revision as of 15:20, 28 June 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.
- Group Theory in a Nutshell for Physicists -- Anthony Zee.
- Evaluation (3 ECTS)
- a few exercices during the tutorials
- final exam : 3 hours, written exam