Defects of properties in mathematics: quantitative characterizations
Author:
Series:
Publisher:
World Scientific
Pub. Date:
Varies, see individual formats and editions
Language:
English
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. Contents: Defect of Property in Set Theory; Defect of Property in Topology; Defect of Property in Measure Theory; Defect of Property in Real Function Theory; Defect of Property in Functional Analysis; Defect of Property in Algebra; Miscellaneous. Readership: Upper level undergraduates, graduate students and researchers interested in measure theory, real and functional analysis, fuzzy mathematics, topology and algebra.
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Contributors:
ISBN:
9789812777645
9789810249243
9789810249243
Staff View
Grouping Information
Grouped Work ID | 70fa5ae4-5d2c-637a-9b9c-1c205d5b59ee |
---|---|
Grouping Title | defects of properties in mathematics quantitative characterizations |
Grouping Author | adrian i ban |
Grouping Category | book |
Grouping Language | English (eng) |
Last Grouping Update | 2024-04-05 21:12:39PM |
Last Indexed | 2024-05-01 01:01:34AM |
Solr Fields
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auth_author2
Gal, Sorin G.
Gal, Sorin G., 1953-
Gal, Sorin G., 1953-
author
Ban, Adrian I.
author2-role
Gal, Sorin G
Gal, Sorin G.,1953-
ProQuest (Firm)
Gal, Sorin G.,1953-
ProQuest (Firm)
author_display
Ban, Adrian I.
display_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. Contents: Defect of Property in Set Theory; Defect of Property in Topology; Defect of Property in Measure Theory; Defect of Property in Real Function Theory; Defect of Property in Functional Analysis; Defect of Property in Algebra; Miscellaneous. Readership: Upper level undergraduates, graduate students and researchers interested in measure theory, real and functional analysis, fuzzy mathematics, topology and algebra.
format_category_ccu
eBook
format_ccu
eBook
id
70fa5ae4-5d2c-637a-9b9c-1c205d5b59ee
isbn
9789810249243
9789812777645
9789812777645
last_indexed
2024-05-01T07:01:34.136Z
lexile_score
-1
literary_form
Non Fiction
literary_form_full
Non Fiction
primary_isbn
9789812777645
publishDate
2002
publisher
World Scientific
World Scientific Publishing Company
World Scientific Publishing Company
recordtype
grouped_work
series
Series on concrete and applicable mathematics
series_with_volume
Series on concrete and applicable mathematics|5
subject_facet
Deviation (Mathematics)
Déviation (Mathématiques)
Electronic books
Fuzzy mathematics
MATHEMATICS -- Essays
MATHEMATICS -- Pre-Calculus
MATHEMATICS -- Reference
Mathematics
Mathématiques
Mathématiques floues
applied mathematics
mathematics
Déviation (Mathématiques)
Electronic books
Fuzzy mathematics
MATHEMATICS -- Essays
MATHEMATICS -- Pre-Calculus
MATHEMATICS -- Reference
Mathematics
Mathématiques
Mathématiques floues
applied mathematics
mathematics
title_display
Defects of properties in mathematics : quantitative characterizations
title_full
Defects Of Properties In Mathematics : Quantitative Characterizations Ban, Adrian I.
Defects of properties in mathematics : quantitative characterizations / Adrian I. Ban & Sorin G. Gal
Defects of properties in mathematics [electronic resource] : quantitative characterizations / Adrian I. Ban & Sorin G. Gal
Defects of properties in mathematics : quantitative characterizations / Adrian I. Ban & Sorin G. Gal
Defects of properties in mathematics [electronic resource] : quantitative characterizations / Adrian I. Ban & Sorin G. Gal
title_short
Defects of properties in mathematics
title_sub
quantitative characterizations
topic_facet
Deviation (Mathematics)
Déviation (Mathématiques)
Essays
Fuzzy mathematics
MATHEMATICS
Mathematics
Mathématiques
Mathématiques floues
Pre-Calculus
Reference
applied mathematics
mathematics
Déviation (Mathématiques)
Essays
Fuzzy mathematics
MATHEMATICS
Mathematics
Mathématiques
Mathématiques floues
Pre-Calculus
Reference
applied mathematics
mathematics
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