Advanced analysis II: properties and applications

Explores Jordan-measurable sets and their properties, including volume calculations and change of variables in integrals.

Explores Jordan-measurable functions and double integrals for volume calculations in 3D space.

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

Explores the Fubini theorem on closed rectangles in R², discussing integrability, iterated integrals, and compact sets.

Explores the properties and characterization of the Riemann integral on different sets and measurable sets.