Lecture

Norms and Convergence

Description

This lecture covers the concept of norms in Rn, including the Euclidean norm, different types of norms, and their properties. It also discusses sequences in Rn, convergence, and the Bolzano-Weierstrass theorem. The lecture delves into the topology of Rn, open and closed sets, and convergence of sequences. Various illustrations and examples are provided to enhance understanding.

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Mathematics

Topology: General topology

Analysis: Functional analysis

Algebra: Linear algebra

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