Real analysis: theory of measure and integration/ J Yeh

Includes Bibliography and index

Measure Spaces -- The Lebesgue Integral -- Differentiation and Integration -- The Classical Banach Spaces -- Extension of Additive Set Function to Measures -- Hausdorff Measures on the Euclidean Space -- A Digital Expansion of Real Numbers -- B Measurability of Limits and Derivatives -- C Lipschitz Condition and Boundded Derivative -- D Uniform Integrability -- E Product measurability and Factor measurability -- F Function of Oscillation

This book presents a Unified treatise of the theory of measure and integration.General measure spsce,every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter examples are provided to show that certain conditions in the hypothesis of a theorm cannot be simply dropped.