Uniting a variety of approaches to the study of integration, a well-known professor presents a single-volume "blend of the particular and the general, of the co

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

The real numbers. Point sets and sequences -- Euclidean space. Topology and continuous functions -- Abstract spaces -- The theory of measure -- The Lebesgue int

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

This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil, and McShane, showing how new theories of integr