Defects of Properties in Mathematics: Quantitative Characterizations - Couverture rigide

Ban, Adrian I.; Gal, Sorin G.

Couverture rigide

ISBN 10 : 9810249241 ISBN 13 : 9789810249243

Editeur : World Scientific Publishing Co Pte Ltd, 2002

Synopsis

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.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2002
• Langue: anglais
• ISBN 10: 9810249241
• ISBN 13: 9789810249243
• Reliure: Relié
• Nombre de pages: 364
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible