Lecture

Volume of Spherical Unit: Change of Variables

Description

This lecture covers the calculation of volumes using spherical coordinates, focusing on the change of variables. It explains the bijectivity of the transformation and the importance of class C₁. The instructor demonstrates the process step by step, emphasizing the significance of the Jacobian determinant in the calculations.

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Official source

https://mediaspace.epfl.ch/media/0_bfw89cr3

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Ontological neighbourhood

Mathematics

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

Topology: Manifolds

Mathematical logic: Set theory

Statistics

Statistical inference: Mathematical statistics

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Belief systems: Abrahamic religions

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