Analysis 2: Properties and Integrability

In course

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Description

This lecture covers the properties of sets of measure zero, integrability criteria, Fubini's theorem, and the division of the domain of integration. It explains the volume of sets, boundaries, and the mean value theorem for integrals. The content progresses from defining sets of measure zero to discussing the integrability of continuous functions over bounded sets.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_cv8gtecn

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Ontological neighbourhood

Mathematics

Analysis: Measure theory, Calculus, Functional analysis, Vector analysis, Complex analysis

Topology: General topology

Discrete mathematics: Graph theory

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