Measure and Integral

Measure and Integral: An Introduction to Real Analysis, 2nd Edition, introduces real analysis by initially developing measure and integration in Euclidean space before addressing abstract axiomatic formulations.

The textbook investigates the Fourier transform in function spaces, operator boundedness, and fractional integration alongside mean oscillation properties. It also examines higher-dimensional calculus counterparts and the geometry of multivariable Lipschitz functions.

Designed for upper-division undergraduate and first-year graduate students in mathematics, statistics, probability, or engineering, this volume also serves as a reference for professional mathematicians.