Real analysis : theory of measure and integration

By: Yeh, JMaterial type: TextTextPublication details: Singapore world scientific 2014Edition: 3Description: xxiii, 815 pISBN: 9789814578530 (hardcover : alk. paper); 9814578533 (hardcover : alk. paper); 9789814578547 (pbk. : alk. paper); 9814578541 (pbk. : alk. paper)Subject(s): Measure theory | Lebesgue integral | Integrals, Generalized | Mathematical analysis | Lp spacesDDC classification: 515.42 Summary: This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, 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 theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis
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This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, 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 theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis

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