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020			_a9781032919881
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a517.51 _bKHA-S
100			_aKharazishvili, Alexander
245			_aStrange functions in real analysis
250			_a3rd edition
260			_aBoca Raton : _bCRC Press, Taylor & Francis Group, _c2024.
300			_axiii, 426 pages ; _c24 cm
504			_aIncludes bibliographical references and index.
520			_aStrange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices. More importantly, the entire text has been revised and contains more detailed explanations of the presented material. In doing so, the book explores a number of important examples and constructions of pathological functions. After introducing basic concepts, the author begins with Cantor and Peano-type functions, then moves effortlessly to functions whose constructions require what is essentially non-effective methods. These include functions without the Baire property, functions associated with a Hamel basis of the real line and Sierpinski-Zygmund functions that are discontinuous on each subset of the real line having the cardinality continuum. Finally, the author considers examples of functions whose existence cannot be established without the help of additional set-theoretical axioms. On the whole, the book is devoted to strange functions (and point sets) in real analysis and their applications.
650			_aFunctional analysis
650			_aFunctions of real variables
856			_3Table of content _uhttps://www.routledge.com/Strange-Functions-in-Real-Analysis/Kharazishvili/p/book/9781032919881#googlePreviewContainer
856			_3Reviews _uhttps://www.goodreads.com/book/show/217317320-strange-functions-in-real-analysis?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35949 _d35949