Mathematical tools: Difference between revisions

Revision as of 17:28, 22 June 2017

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

@@ Line 1: / Line 1: @@
 [[File:Bessel.gif|200px|thumb|[https://en.wikipedia.org/wiki/Bessel_function Bessel function] for the drums]]
-* tutor : Guillame Roux
+* '''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.
@@ Line 16: / Line 15: @@
-* '''bibliography''' :
+* '''incomplete bibliography''' :
-** Soon
+** 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