Defects Of Properties In Mathematics: Quantitative Characterizations
Adrian I. Ban (Univ Of Oradea, Romania),Sorin G. Gal (Univ Of Oradea, Romania)
Defects Of Properties In Mathematics: Quantitative Characterizations
Adrian I. Ban (Univ Of Oradea, Romania),Sorin G. Gal (Univ Of Oradea, Romania)
An introduction to 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; and fuzzy mathematics. Besides well-known defects , the text 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 and more) for binary operations; defects of orthogonality and parallelness in Euclidean and non-Euclidean geometries; defects of integer, perfect, prime and amicable numbers; and the defect of tautology in fuzzy logic.
This item is not currently in-stock. It can be ordered online and is expected to ship in approx 4 weeks
Our stock data is updated periodically, and availability may change throughout the day for in-demand items. Please call the relevant shop for the most current stock information. Prices are subject to change without notice.
Sign in or become a Readings Member to add this title to a wishlist.