Lecture

Change of Coordinates: Invertible Matrices & Functions

Description

This lecture covers the concept of change of coordinates using invertible matrices, focusing on the relationship between Jacobian matrices and the function identity. It explores the theory of invertible functions, injective functions, and the reciprocal function. The instructor discusses the generalization of analysis, the derivative of functions, and the properties of class 1 functions.

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Official source

https://mediaspace.epfl.ch/media/0_kribodh5

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Calculus, Complex analysis

Mathematical logic: Set theory

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