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Chapter 16 · Uniform Convergence and Series of Functions

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Chapter 16: Uniform Convergence, Series of Functions, and Basic Operations on Families of Functions

Section titled “Chapter 16: Uniform Convergence, Series of Functions, and Basic Operations on Families of Functions”

Pointwise vs. uniform convergence (Cauchy criterion), Weierstrass MM-test, Abel-Dirichlet test, interchange of limits with continuity/integration/differentiation, the Arzelà-Ascoli theorem on compact subsets of C(K)C(K), and the Stone-Weierstrass theorem.

Exercises to be added.

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