Stone-Weierstrass TheoremExplores the Stone-Weierstrass theorem, proving uniform density of specific function families on compact sets.
Integral Properties on Closed PavésExplores the integrability of continuous functions on closed pavés and the properties of their integrals, including boundedness and Darboux sums.
Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Extrema and Implicit FunctionsExplores conditions for local extrema in two and three variables, along with implicit functions and finding absolute minima and maxima.
