Defects Of Properties In Mathematics: Quantitative Characterizations (eBook)

Ban Adrian I Ban, Gal Sorin G Gal (Autoren)

eBook Download: PDF

2002
364 Seiten
World Scientific Publishing Company (Verlag)
978-981-4488-77-8 (ISBN)

Infos

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 "e;deviation from a (given) property"e;, called the "e;defect of a property"e;, in: set theory; topology; measure theory; real, complex and functional analysis; algebra; geometry; number theory; fuzzy mathematics.Besides well-known "e;defects"e;, 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.

Produkt-Details

• Erscheint lt. Verlag: 22.4.2002
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 981-4488-77-1 / 9814488771
• ISBN-13: 978-981-4488-77-8 / 9789814488778