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101 0 $aeng
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181   $ctxt$2rdacontent
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200 10$aIntroduction to coalgebra $etowards mathematics of states and observation /$fBart Jacobs$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2017.
215   $a1 online resource (xvi, 477 pages) $cdigital, PDF file(s)
225 1 $aCambridge tracts in theoretical computer science ;$v59
300   $aTitle from publisher's bibliographic system (viewed on 10 Jan 2017).
311   $a1-107-17789-8 
320   $aIncludes bibliographical references and indexes.
330   $aThe area of coalgebra has emerged within theoretical computer science with a unifying claim: to be the mathematics of computational dynamics. It combines ideas from the theory of dynamical systems and from the theory of state-based computation. Although still in its infancy, it is an active area of research that generates wide interest. Written by one of the founders of the field, this book acts as the first mature and accessible introduction to coalgebra. It provides clear mathematical explanations, with many examples and exercises involving deterministic and non-deterministic automata, transition systems, streams, Markov chains and weighted automata. The theory is expressed in the language of category theory, which provides the right abstraction to make the similarity and duality between algebra and coalgebra explicit, and which the reader is introduced to in a hands-on manner. The book will be useful to mathematicians and (theoretical) computer scientists and will also be of interest to mathematical physicists, biologists and economists.
410  0$aCambridge tracts in theoretical computer science ;$v59.
606   $aAssociative algebras
606   $aUniversal enveloping algebras
606   $aAlgebra, Universal
615  0$aAssociative algebras.
615  0$aUniversal enveloping algebras.
615  0$aAlgebra, Universal.
676   $a512/.46
700   $aJacobs$b Bart$0627631
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910150171003321
996   $aIntroduction to coalgebra$92584273
997   $aUNINA