Multiple Integrals: Definition and Properties

In course

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Description

This lecture introduces the concept of multiple integrals, starting with the definition of double and triple integrals. It covers the definition of a rectangular solid, volume calculation, and tensorial partitions. The instructor explains the concept of refinement of partitions and proves the existence of tensorial partitions. The lecture also discusses the properties of integrable functions and the Darboux sum for bounded intervals.

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Official source

https://mediaspace.epfl.ch/media/0_9rm6hmmn

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