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9781441922632: New Computational Paradigms: Changing Conceptions of What is Computable

Synopsis

This superb exposition of a complex subject examines new developments in the theory and practice of computation from a mathematical perspective.

It covers topics ranging from classical computability to complexity, from biocomputing to quantum computing. The book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book. In recent years, classical computability has expanded beyond its original scope to address issues related to computability and complexity in algebra, analysis, and physics. The book opens with an introduction by Alan Hodges, the Turing biographer, who analyzes the pioneering work that anticipated recent developments concerning computation’s allegedly new paradigms.

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This superb exposition of a complex subject examines new developments in the theory and practice of computation from a mathematical perspective.

It covers topics ranging from classical computability to complexity, from biocomputing to quantum computing.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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9780387360331: New Computational Paradigms: Changing Conceptions of What Is Computable

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ISBN 10 :  0387360336 ISBN 13 :  9780387360331
Editeur : Springer-Verlag New York Inc., 2007
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Cooper, S. B.|Löwe, Benedikt|Sorbi, Andrea
Edité par Springer New York, 2010
ISBN 10 : 1441922636 ISBN 13 : 9781441922632
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Explores new developments in the theory and practice of computation from a&nbspmathematical perspectiveIncludes topics ranging from classical computability to complexity, biocomputing, and quantum computingOffers content that appeals to sp. N° de réf. du vendeur 4172790

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S. B. Cooper
Edité par Springer New York Okt 2010, 2010
ISBN 10 : 1441922636 ISBN 13 : 9781441922632
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This superb exposition of a complex subject examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book. 576 pp. Englisch. N° de réf. du vendeur 9781441922632

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S. B. Cooper
ISBN 10 : 1441922636 ISBN 13 : 9781441922632
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Taschenbuch. Etat : Neu. Neuware -In recent years, classical computability has expanded beyond its original scope to address issues related to computability and complexity in algebra, analysis, and physics. The deep interconnection between 'computation' and 'proof' has originated much of the most significant work in constructive mathematics and mathematical logic of the last 70 years. Moreover, the increasingly compelling necessity to deal with computability in the real world (such as computing on continuous data, biological computing, and physical models) has brought focus to new paradigms of computation that are based on biological and physical models. These models address questions of efficiency in a radically new way and even threaten to move the so-called Turing barrier, i.e. the line between the decidable and the un-decidable.This book examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. The book opens with an introduction by Andrew Hodges, the Turing biographer, who analyzes the pioneering work that anticipated recent developments concerning computation¿s allegedly new paradigms. The remaining material covers traditional topics in computability theory such as relative computability, theory of numberings, and domain theory, in addition to topics on the relationships between proof theory, computability, and complexity theory. New paradigms of computation arising from biology and quantum physics are also discussed, as well as the computability of the real numbers and its related issues.This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 576 pp. Englisch. N° de réf. du vendeur 9781441922632

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S. B. Cooper
ISBN 10 : 1441922636 ISBN 13 : 9781441922632
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - In recent years, classical computability has expanded beyond its original scope to address issues related to computability and complexity in algebra, analysis, and physics. The deep interconnection between 'computation' and 'proof' has originated much of the most significant work in constructive mathematics and mathematical logic of the last 70 years. Moreover, the increasingly compelling necessity to deal with computability in the real world (such as computing on continuous data, biological computing, and physical models) has brought focus to new paradigms of computation that are based on biological and physical models. These models address questions of efficiency in a radically new way and even threaten to move the so-called Turing barrier, i.e. the line between the decidable and the un-decidable.This book examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. The book opens with an introduction by Andrew Hodges, the Turing biographer, who analyzes the pioneering work that anticipated recent developments concerning computation's allegedly new paradigms. The remaining material covers traditional topics in computability theory such as relative computability, theory of numberings, and domain theory, in addition to topics on the relationships between proof theory, computability, and complexity theory. New paradigms of computation arising from biology and quantum physics are also discussed, as well as the computability of the real numbers and its related issues.This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book. N° de réf. du vendeur 9781441922632

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Edité par Springer, 2010
ISBN 10 : 1441922636 ISBN 13 : 9781441922632
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