Since about 1915 integration theory has consisted of two separate branches: the abstract theory required by probabilists and the theory, preferred by analysts,

The theory of integration is one of the twin pillars on which analysis is built. The first version of integration that students see is the Riemann integral. Lat

This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the C

A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both

Readership: Mathematicians, physicists and engineers.