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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Defects of Properties in Mathematics: Quantitative Characterizations

Defects of Properties in Mathematics: Quantitative Characterizations

Ban, Adrian I.
Gal, Sorin G.

Hardcover

Series: Concrete and Applicable Mathematics, Book 5

Medical ReferenceGeneral Mathematics

Currently unavailable to order

ISBN10: 9810249241
ISBN13: 9789810249243
Publisher: World Scientific Pub Co Inc
Published: Apr 23 2002
Pages: 364
Language: English
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.

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