Lecture

Multiple Integration: Open Bounded Domains in R²

Description

This lecture covers the concept of double integrals over open bounded domains in R², focusing on defining the integral for continuous and bounded functions, determining convergence, and calculating limits. Examples illustrate the application of these concepts to triangles and the calculation of areas. Properties of double integrals, including inequalities such as Hölder's and Minkowski's, are also discussed.

Official source

https://mediaspace.epfl.ch/media/0_vr9tf4kf

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Ontological neighbourhood

Mathematics

Analysis: Calculus

Geometry: Euclidean geometry

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