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Book synopsis

The notion of convex set, known according to its numerous applications in linear spaces due to its connectivity which leads to separation and support properties, does not imply, in fact, necessarily, the connectivity. This aspect of non-connectivity hidden under the convexity is discussed in this book. The property of non-preserving the connectivity leads to a huge extent of the domain of convexity. The book contains the classification of 100 notions of convexity, using a generalised convexity notion, which is the classifier, ordering the domain of concepts of convex sets. Also, it opens the wide range of applications of convexity in non-connected environment. Applications in pattern recognition, in discrete programming, with practical applications in pharmaco-economics are discussed. Both the synthesis part and the applied part make the book useful for more levels of readers. Audience: Researchers dealing with convexity and related topics, young researchers at the beginning of their approach to convexity, PhD and master students.

Book details

Book category Knihy po anglicky Mathematics & science Mathematics Mathematical foundations

• Full title: Non-Connected Convexities and Applications
• Author: G. Cristescu, L. Lupsa
• Language: English
• Binding: Hardback
• Number of pages: 368
• EAN: 9781402006241
• ISBN: 1402006241
• ID: 01414801
• Publisher: Springer-Verlag New York Inc.
• Weight: 1600 g
• Dimensions: 234 × 156 × 26 mm
• Date of publishing: 31. May 2002

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