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【转贴】Continuous Lattices and Domains【已搜无重复】
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Continuous Lattices and Domains (Encyclopedia of Mathematics and its Applications) By G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. Mislove, D. S. Scott, Publisher: Cambridge University Press Number Of Pages: 628 Publication Date: 2003-04-21 Sales Rank: 1588942 ISBN / ASIN: 0521803381 EAN: 9780521803380 Binding: Hardcover Manufacturer: Cambridge University Press Studio: Cambridge University Press Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and domains. This authoritative and comprehensive account of the subject will be an essential handbook for all those working in the area. An extensive index and bibliography make this an ideal sourcebook for all those working in domain theory. Download Description: Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and domains. The authors develop the mathematical foundations of partially ordered sets with completeness properties of various degrees, in particular directed complete ordered sets and complete lattices. Uniquely, they focus on partially ordered sets that have an extra order relation, modelling the notion that one element 'finitely approximates' another, something closely related to intrinsic topologies linking order and topology. Extensive use is made of topological ideas, both by defining useful topologies on the structures themselves and by developing close connections with numerous aspects of topology. The theory so developed not only has applications to computer science but also within mathematics to such areas as analysis, the spectral theory of algebras and the theory of computability. This authoritative, comprehensive account of the subject will be essential for all those working in the area. http://mihd.net/mzauso http://rapidshare.com/files/66252195/0521803381.rar |
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2楼2007-11-04 10:03:05