Multivariable Integral Calculus

Explores Fubini's Theorem for multiple integrals, emphasizing the n=2 case.

Covers the integration of limit expansions and continuous functions by pieces.

Covers weak derivatives, their properties, and applications in functional analysis.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Explores Riemann integrability and Jordan measure, discussing the conditions for a set to be negligible.