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Cambridge Tracts in Theoretical Computer Science Ser.: Introduction to Coalgebra : Towards Mathematics of States and Observation by Bart Jacobs (2016, Hardcover)
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It combines ideas from the theory of dynamical systems and from the theory of state-based computation. Written by one of the founders of the field, this book acts as the first mature and accessible introduction to coalgebra.
- Buy It NowIntroduction to Coalgebra: Towards Mathematics of States and Observation
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-101107177898
ISBN-139781107177895
eBay Product ID (ePID)227703990
Product Key Features
Number of Pages494 Pages
Publication NameIntroduction to Coalgebra : Towards Mathematics of States and Observation
LanguageEnglish
Publication Year2016
SubjectAlgebra / General, Logic
TypeTextbook
Subject AreaMathematics
AuthorBart Jacobs
SeriesCambridge Tracts in Theoretical Computer Science Ser.
FormatHardcover
Dimensions
Item Height1.3 in
Item Weight29 Oz
Item Length9.3 in
Item Width6.3 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2016-023664
Dewey Edition23
Reviews'The book is very carefully written, its many examples are discussed usually in great detail, expressing patiently the salient features to be exhibited. This applies to the usually fairly detailed proofs as well. Another treasure trove is the collection of most instructive exercises, of which there are plenty ... This admirable book sets the standard for the work on set-based coalgebras for many years to come. It can be used for reference, and it is equally usable as a textbook.' Ernst-Erich Doberkat, Zentralblatt MATH
Series Volume NumberSeries Number 59
IllustratedYes
Dewey Decimal512.46
Table Of Content1. Motivation; 2. Coalgebras of polynomial functors; 3. Bisimulations; 4. Logic, lifting and finality; 5. Monads, comonads and distributive laws; 6. Invariants and assertions; References; Definition and symbol index; Subject index.
SynopsisThis 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., 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.
LC Classification NumberQA251.5.B36 2017
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