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Item Details
| Title:
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DEFECTS OF PROPERTIES IN MATHEMATICS: QUANTITATIVE CHARACTERIZATIONS
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| By: |
Sorin G. Gal, Adrian I. Ban |
| Format: |
Hardback |
| List price:
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£112.00 |
| Our price: |
£100.80 |
| Discount: |
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| You save:
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£11.20 |
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| ISBN 10: |
9810249241 |
| ISBN 13: |
9789810249243 |
| Availability: |
Reprinting. This item may be subject to delays or cancellation.
 Delivery
rates
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| Stock: |
Currently 0 available |
| Publisher: |
WORLD SCIENTIFIC PUBLISHING CO PTE LTD |
| Pub. date: |
23 April, 2002 |
| Series: |
Series on Concrete & Applicable Mathematics 5 |
| Pages: |
364 |
| Description: |
An introduction to 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 areas such as topology; analysis; algebra; and geometry. |
| 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. |
| Publication: |
Singapore |
| Imprint: |
World Scientific Publishing Co Pte Ltd |
| Returns: |
Returnable |
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