{"product_id":"defects-of-properties-in-mathematics-adrian-i-ban-9789810249243","title":"Defects of Properties in Mathematics: Quantitative Characterizations","description":"This book introduces a method of research which can be used in various fields of mathematics. It examines, in a systematic way, the quantitative characterizations of the \"deviation from a (given) property\", called the \"defect of a property\", in: set theory; topology; measure theory; real, complex and functional analysis; algebra; geometry; number theory; fuzzy mathematics.Besides well-known \"defects\", the book introduces and studies new ones, such as: measures of noncompactness for fuzzy sets; fuzzy and intuitionistic entropies; the defect of (sub, super)additivity; complementarity; monotonicity for set functions; the defect of convexity; monotonicity; differentiability for real functions; the defect of equality for inequalities; the defect of orthogonality for sets and defects of properties for linear operators in normed spaces; defects of properties (commutativity, associativity, etc.) for binary operations; defects of orthogonality and parallelness in Euclidean and non-Euclidean geometries; defects of integer, perfect, prime and amicable numbers; the defect of tautology in fuzzy logic.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Adrian I. Ban,Sorin G. Gal\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9810249241\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789810249243\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e World Scientific Publishing Company\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/23\/2002\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 364\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover","brand":"Adrian I. Ban","offers":[{"title":"Hardcover","offer_id":48448105873663,"sku":"9789810249243","price":135.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_c6356dc2-77dc-43af-9763-a137251003d6.jpg?v=1777236934","url":"https:\/\/www.whiterainbookhouse.com\/products\/defects-of-properties-in-mathematics-adrian-i-ban-9789810249243","provider":"WR Book House","version":"1.0","type":"link"}