TY - GEN AU - Yeh,J TI - Real analysis: theory of measure and integration SN - 9789814578547 U1 - 515.42 23rd PY - 2014/// CY - London PB - World Scientific, KW - Mathematics KW - Real Analysis N1 - 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 N2 - 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 ER -