Uniform convergence and pointwise convergence, U-Now OpenCourseWare

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The University of Nottingham,
King's Meadow Campus,
Lenton Ln, Nottingham NG7 2NR, United Kingdom,

Course Description,
The aim of this material is to introduce the student to two notions of convergence for sequences of real-valued functions. The notion of pointwise convergence is relatively straightforward, but the notion of uniform convergence is more subtle. Uniform convergence is explained in terms of closed function balls and the new notion of sets absorbing sequences.