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G. Gierz 作者

Cambridge University Press

譯者

2003-4-21 出版日期

207 頁數

$73.22 價格

Hardcover

Encyclopedia of Mathematics and its Applications 叢書系列

9780521803380 圖書編碼

Continuous Lattices and Domains 在線電子書圖書標籤: 連續格理論計算機拓撲序論

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發表於2024-06-30

Continuous Lattices and Domains 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Continuous Lattices and Domains 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Continuous Lattices and Domains 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Continuous Lattices and Domains 在線電子書著者簡介

G. Gierz

University of California, Riverside

K. H. Hofmann

Technische Universität, Darmstadt, Germany

K. Keimel

Technische Universität, Darmstadt, Germany

J. D. Lawson

Louisiana State University

M. Mislove

Tulane University, Louisiana

D. S. Scott

Carnegie Mellon University, Pennsylvania

Continuous Lattices and Domains 在線電子書著者簡介

Continuous Lattices and Domains 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Continuous Lattices and Domains 在線電子書圖書描述

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.

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