000			01672nam a22002177a 4500
008			240222b |||||||| |||| 00| 0 eng d
020			_a9798886130485 (PB)
041			_aeng
080			_a517 _bYEH
100			_aYeh, J.
245			_aReal Analysis: _bTheory of Measure and Integration
250			_a3rd
260			_aSingapore _bWorld Scientific _c2024
300			_axxiii, 815p.
505			_a1. Measure Spaces 2. The Lebesgue Integral 3. Differentiation and Integration 4. The Classical Banach Spaces 5. Extension of Additive Set Functions to Measures 6. Measure and Integration on the Euclidean Space 7.Hausdorff Measures on the Euclidean Space
520			_aThis 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 while the wealth of topics treated also make the book a valuable reference work for mathematicians. The book is also very helpful to graduate students in statistics and electrical engineering, two disciplines that apply measure theory.
650			_aIntegration theory
650			_aLebesgue integral
690			_aMathematics
942			_cBK
999			_c60037 _d60037