Continuous Lattices and Domains by G. Gierz (English) Hardcover Book

Description: Continuous Lattices and Domains by G. Gierz, K.H. Hofmann 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher 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. Table of Contents Preface; Acknowledgements; Foreword; Introduction; 1. A primer on ordered sets and lattices; 2. Order theory of domains; 3. The Scott topology; 4. The Lawson Topology; 5. Morphisms and functors; 6. Spectral theory of continuous lattices; 7. Compact posets and semilattices; 8. Topological algebra and lattice theory: Applications; Bibliography; List of symbols; List of categories; Index. Review A highly recommendable handbook on a subject which links algebra and topology in a convincing and beautiful way. H. Mitsch, Wien Being written in an expository and almost self-contained way, the book can serve as a handbook for those working in the area as well as a student textbook. EMS Newsletter ... this is the book for all those interested in the topic ... I am pleased to recommend ... this most authentic source of information on continuous lattices and domains. Acta Scientiarum Mathematicarum Long Description The thrilling history of the turning point of the Second World War, when Hitlers armies were halted on the Eastern Front At the moment of crisis in 1941 on the Eastern front, with the forces of Hitler massing on the outskirts of Moscow, the miraculous occurred: Moscow was saved. Yet this turning point was followed by a long retreat, in which Russian forces, inspired by old beliefs in the sacred motherland, pushed back German forces steeled by the vision of the ubermensch , the iron-willed fighter. Many of Russias 27 million military and civilian deaths occurred in this desperate struggle. In THE RETREAT, Michael Jones, acclaimed author of LENINGRAD, draws upon a mass of new eye-witness testimony from both sides of the conflict to tell, with matchless vividness and comprehensiveness, of the crucial turning point of the Second World War - the moment when the armies of Hitler could go no further - and of the titanic and cruel struggle of two mighty empires. Review Quote … this is the book for all those interested in the topic … I am pleased to recommend … this most authentic source of information on continuous lattices and domains. Acta Scientiarum Mathematicarum Promotional "Headline" Authoritative and comprehensive account; an essential handbook for all those working in the area. Description for Bookstore 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. Description for Library 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. Details ISBN0521803381 Author K.H. Hofmann Short Title CONTINUOUS LATTICES & DOMAINS Pages 591 Publisher Cambridge University Press Series Encyclopedia of Mathematics and Its Applications Language English ISBN-10 0521803381 ISBN-13 9780521803380 Media Book Format Hardcover DEWEY 511.33 Series Number 93 Illustrations Yes Year 2003 Publication Date 2003-03-31 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Affiliation Technische Universitat, Darmstadt, Germany DOI 10.1604/9780521803380 Audience Professional and Scholarly UK Release Date 2003-03-06 AU Release Date 2003-03-06 NZ Release Date 2003-03-06 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:168653703;

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