| Description |
1 online resource (xvi, 477 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Cambridge tracts in theoretical computer science ; 59
|
|
Cambridge tracts in theoretical computer science ; 59.
|
| Summary |
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. |
| Bibliography |
Includes bibliographical references (pages 440-465) and indexes. |
| Contents |
Motivation -- Coalgebras of polynomial functors -- Bisimulations -- Logic, lifting and finality -- Monads, comonads and distributive laws -- Invariants and assertions. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Associative algebras.
|
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Associative algebras. |
|
Universal enveloping algebras.
|
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Universal enveloping algebras. |
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Algebra, Universal.
|
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Algebra, Universal. |
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MATHEMATICS -- Algebra -- Intermediate. |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Jacobs, Bart. Introduction to coalgebra. Cambridge, United Kingdom : Cambridge University Press, 2017 9781107177895 (DLC) 2016023664 (OCoLC)950519615 |
| ISBN |
9781316838563 (electronic book) |
|
1316838560 (electronic book) |
|
9781316837030 (electronic book) |
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1316837033 (electronic book) |
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9781107177895 (hardback) |
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1107177898 (hardback) |
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