Lecture

Differentiating vector fields along curves: Examples and finite differences

In course

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Description

This lecture covers the differentiation of vector fields along curves, with examples and finite differences. It discusses the unique operator satisfying specific properties, including linearity, chain rule, Leibniz rule, and product rule. The lecture also explores the covariant derivative induced by a compatible metric.

In MOOC

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_jm1t19ax

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Ontological neighbourhood

Mathematics

Geometry: Differential geometry

Analysis: Functional analysis, Calculus

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