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The area of coalgebra has emerged within theoretical computer science with a unifying claim: to be the mathematics of computational dynamics. It combines ideas from the theory of dynamical systems and from the theory of state-based computation. Although still in its infancy, it is an active area of research that generates wide interest. Written by one of the founders of the field, this book acts as the first mature and accessible introduction to coalgebra. It provides clear mathematical explanations, with many examples and exercises involving deterministic and non-deterministic automata, transition systems, streams, Markov chains and weighted automata. The theory is expressed in the language of category theory, which provides the right abstraction to make the similarity and duality between algebra and coalgebra explicit, and which the reader is introduced to in a hands-on manner. The book will be useful to mathematicians and (theoretical) computer scientists and will also be of interest to mathematical physicists, biologists and economists.
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Bart Jacobs is Professor of Software and Security Correctness at Radboud University Nijmegen, the Netherlands. His work has been supported by prestigious grants such as the Pionier grant from the Netherlands Organisation for Scientific Research and the Advanced Investigator Grant from the European Research Council. Professor Jacobs is a member of Academia Europaea.
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Introduction to Coalgebra : Towards Mathematics of States and Observation
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Cambridge University Press, 2016
ISBN 10: 1107177898
ISBN 13: 9781107177895
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Introduction to Coalgebra: Towards Mathematics of States and Observation (Cambridge Tracts in Theoretical Computer Science, Series Number 59)
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Cambridge University Press, 2016
ISBN 10: 1107177898
ISBN 13: 9781107177895
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Introduction to Coalgebra: Towards Mathematics of States and Observation (Cambridge Tracts in Theoretical Computer Science, Series Number 59)
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Cambridge University Press, 2016
ISBN 10: 1107177898
ISBN 13: 9781107177895
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Introduction to Coalgebra : Towards Mathematics of States and Observation
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Introduction to Coalgebra: Towards Mathematics of States and Observation
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Introduction to Coalgebra
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Über den AutorBart Jacobs is Professor of Software and Security Correctness at Radboud University Nijmegen, the Netherlands. His work has been supported by prestigious grants such as the Pionier grant from the Netherlands Organisati. Nº de ref. del artículo: 447216923
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Hardcover. Condición: new. Hardcover. The area of coalgebra has emerged within theoretical computer science with a unifying claim: to be the mathematics of computational dynamics. It combines ideas from the theory of dynamical systems and from the theory of state-based computation. Although still in its infancy, it is an active area of research that generates wide interest. Written by one of the founders of the field, this book acts as the first mature and accessible introduction to coalgebra. It provides clear mathematical explanations, with many examples and exercises involving deterministic and non-deterministic automata, transition systems, streams, Markov chains and weighted automata. The theory is expressed in the language of category theory, which provides the right abstraction to make the similarity and duality between algebra and coalgebra explicit, and which the reader is introduced to in a hands-on manner. The book will be useful to mathematicians and (theoretical) computer scientists and will also be of interest to mathematical physicists, biologists and economists. This is the first mature and accessible introduction to coalgebra, providing clear mathematical explanations, with many examples and exercises involving deterministic and non-deterministic automata, transition systems, streams, Markov chains and weighted automata. It will be of interest to mathematicians, computer scientists, mathematical physicists and even economists. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Nº de ref. del artículo: 9781107177895
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Introduction to Coalgebra: Towards Mathematics of States and Observation (Cambridge Tracts in Theoretical Computer Science, Series Number 59)
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ISBN 13: 9781107177895
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Introduction to Coalgebra: Towards Mathematics of States and Observation (Cambridge Classical Texts and Commentaries)
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Introduction to Coalgebra: Towards Mathematics of States and Observation
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