Measure and Integral: An Introduction to Real Analysis (Chapman and Hall/CRC Pure and Applied Mathematics)

This volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of n-dimensional Euclidean space, following a thorough study of the concepts of outer measure and measure. A more general treatment of the integral, based on an axiomatic approach, is later given.Closely related topics in real More »