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Concept

Compacité (mathématiques)

Cours associés (29)

MATH-381: Logique mathématique

Branche des mathématiques en lien avec le fondement des mathématiques et l'informatique théorique. Le cours est centré sur la logique du 1er ordre et l'articulation entre syntaxe et sémantique. C'est entre autres un cours dans lequel la pratique mathématiq ...

AR-102: Théorie et critique du projet BA2

Le cours vise à l'acquisition des outils essentiels au projet et à une compréhension de l'architecture comme savoir-faire, pensée, et attitude qui interroge l'inscription des êtres vivants dans leur environnement par la conception de l'espace. ...

AR-202(m): Théorie et critique du projet BA4 (Taillieu)

A house is the simple topic of this studio. A matter of simple complexity. Learning about a house is learning about architecture. The first part of the year is about learning about a house. The second part is about making your house. ...

AR-301(ah): Théorie et critique du projet BA5 (Malterre-Barthes)

"To be useful, helpful, of assistance to someone:" The "In Service of: Berre" studio reflects on the architectural and territorial project as a form of public service. It explores how architecture and design tools can engage in spatial struggles in the con ...

MATH-688: Reading group in applied topology I

The focus of this reading group is to delve into the concept of the "Magnitude of Metric Spaces". This approach offers an alternative approach to persistent homology to describe a metric space across varying resolutions. It can be used to estimate an intri ...

MATH-315: Spaces of non-positive curvature and groups

Non-positive curvature is a fundamental aspect of geometry appearing in Euclidean spaces, hyperbolic spaces, trees, buildings and many more spaces. We study it with the general but powerful tool of CA ...

MATH-497: Topology IV.b - homotopy theory

We propose an introduction to homotopy theory for topological spaces. We define higher homotopy groups and relate them to homology groups. We introduce (co)fibration sequences, loop spaces, and suspensions. We study long exact sequences. We construct Eilen ...

COM-502: Dynamical system theory for engineers

Linear and nonlinear dynamical systems are found in all fields of science and engineering. After a short review of linear system theory, the class will explain and develop the main tools for the qualitative analysis of nonlinear systems, both in discrete-t ...

MATH-301: Equations différentielles ordinaires

Ce cours donne une introduction rigoureuse au principaux thèmes de la théorie des équations différentielles ordinaires (EDO). Les EDO sont fondamentales pour l'étude des systèmes dynamiques et des équations aux dérivées partielles. Des applications dans ce ...