Defects of properties in mathematics: quantitative characterizations
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 theo...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2002
|
| Schriftenreihe: | Series on concrete and applicable mathematics
v. 5 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | xi, 352 p |
| ISBN: | 9789812777645 |
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| 490 | 0 | |a Series on concrete and applicable mathematics |v v. 5 | |
| 520 | |a 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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Datensatz im Suchindex
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| any_adam_object | |
| author | Ban, Adrian I. |
| author_facet | Ban, Adrian I. |
| author_role | aut |
| author_sort | Ban, Adrian I. |
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| building | Verbundindex |
| bvnumber | BV044635174 |
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| ctrlnum | (ZDB-124-WOP)00003773 (OCoLC)1012665320 (DE-599)BVBBV044635174 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044635174 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:46Z |
| institution | BVB |
| isbn | 9789812777645 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030033146 |
| oclc_num | 1012665320 |
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| owner_facet | DE-92 |
| physical | xi, 352 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Series on concrete and applicable mathematics |
| spelling | Ban, Adrian I. Verfasser aut Defects of properties in mathematics quantitative characterizations Adrian I. Ban & Sorin G. Gal Singapore World Scientific Pub. Co. c2002 xi, 352 p txt rdacontent c rdamedia cr rdacarrier Series on concrete and applicable mathematics v. 5 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 Mathematics Fuzzy mathematics Deviation (Mathematics) Gal, Sorin G. 1953- Sonstige oth Erscheint auch als Druck-Ausgabe 9789810249243 Erscheint auch als Druck-Ausgabe 9810249241 http://www.worldscientific.com/worldscibooks/10.1142/4937#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Ban, Adrian I. Defects of properties in mathematics quantitative characterizations Mathematics Fuzzy mathematics Deviation (Mathematics) |
| title | Defects of properties in mathematics quantitative characterizations |
| title_auth | Defects of properties in mathematics quantitative characterizations |
| title_exact_search | Defects of properties in mathematics quantitative characterizations |
| title_full | Defects of properties in mathematics quantitative characterizations Adrian I. Ban & Sorin G. Gal |
| title_fullStr | Defects of properties in mathematics quantitative characterizations Adrian I. Ban & Sorin G. Gal |
| title_full_unstemmed | Defects of properties in mathematics quantitative characterizations Adrian I. Ban & Sorin G. Gal |
| title_short | Defects of properties in mathematics |
| title_sort | defects of properties in mathematics quantitative characterizations |
| title_sub | quantitative characterizations |
| topic | Mathematics Fuzzy mathematics Deviation (Mathematics) |
| topic_facet | Mathematics Fuzzy mathematics Deviation (Mathematics) |
| url | http://www.worldscientific.com/worldscibooks/10.1142/4937#t=toc |
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