000			01935nam a22002657a 4500
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020			_a9781138055117
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a517 _bPET-B
100			_aPeterson, James K.
245			_aBasic analysis IV : _bmeasure theory and integration
260			_aBoca Raton : _bCRC Press/Taylor & Francis Group, _c2020.
300			_axi, 488 pages : _b13 B/W Illustrations
504			_aIncludes bibliographical references.
520			_aBasic Analysis IV: Measure Theory and Integration introduces students to concepts from measure theory and continues their training in the abstract way of looking at the world. This is a most important skill to have when your life's work will involve quantitative modeling to gain insight into the real world. This text generalizes the notion of integration to a very abstract setting in a variety of ways. We generalize the notion of the length of an interval to the measure of a set and learn how to construct the usual ideas from integration using measures. We discuss carefully the many notions of convergence that measure theory provides. Features • Can be used as a traditional textbook as well as for self-study • Suitable for advanced students in mathematics and associated disciplines • Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
650			_aIntegrals
650			_aMeasure theory
650			_aFunctional Analysis
650			_aMathematical analysis _vTextbooks.
856			_3Table of contents _uhttps://www.routledge.com/Basic-Analysis-IV-Measure-Theory-and-Integration/Peterson/p/book/9781138055117#googlePreviewContainer
856			_3Reviews _uhttps://www.goodreads.com/book/show/49192978-basic-analysis-iv#CommunityReviews
942			_2udc _cBK
999			_c35597 _d35597