Lecture

Change of Variables Theorem in the Plane

Description

This lecture covers the change of variables theorem in the plane, focusing on the boundedness and continuity of functions. It discusses the bijection between open sets and boundaries, as well as the concept of zero measure. Examples are provided to illustrate the application of the theorem in polar coordinates and defined domains by level lines.

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Official source

https://mediaspace.epfl.ch/media/0_nbm9gg48

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Ontological neighbourhood

Mathematics

Analysis: Measure theory

Topology: General topology

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