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Concept

Algèbre d'opérateurs

Cours associés (7)

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Concepts de base de l'analyse fonctionnelle linéaire: opérateurs bornés, opérateurs compacts, théorie spectrale pour les opérateurs symétriques et compacts, le théorème de Hahn-Banach, les théorèmes de l'application ouverte et du graphe fermé. ...

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The aim of the course is to review mathematical concepts learned during the bachelor cycle and apply them to concrete problems commonly found in Engineering, and Materials Science in particular. ...

MATH-115(b): Algèbre linéaire avancée II

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Introduction to major operations research models and optimization algorithms ...

MATH-561: Spectral theory

This course is an introduction to the spectral theory of linear operators acting in Hilbert spaces. The main goal is the spectral decomposition of unbounded selfadjoint operators. We will also give elementary applications to quantum mechanics. ...

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Continuum conservation laws (e.g. mass, momentum and energy) will be introduced. Mathematical tools, including basic algebra and calculus of vectors and Cartesian tensors will be taught. Stress and deformation tensors will be applied to examples drawn from ...

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Quantum mechanics is one of the most successful physical theories. This course presents the mathematical formalism (functional analysis and spectral theory) that underlies quantum mechanics. It is simultaneously an introduction to mathematical physics and ...