Introduction to Coalgebra

Towards Mathematics of States and Observation

Nonfiction, Science & Nature, Mathematics, Logic, Computers, General Computing
Cover of the book Introduction to Coalgebra by Bart Jacobs, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Bart Jacobs ISBN: 9781316832448
Publisher: Cambridge University Press Publication: October 27, 2016
Imprint: Cambridge University Press Language: English
Author: Bart Jacobs
ISBN: 9781316832448
Publisher: Cambridge University Press
Publication: October 27, 2016
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book What is a Mathematical Concept? by Bart Jacobs
Cover of the book An Age of Neutrals by Bart Jacobs
Cover of the book Direct Action, Deliberation, and Diffusion by Bart Jacobs
Cover of the book The Origins of Israeli Mythology by Bart Jacobs
Cover of the book The Life of the Heroin User by Bart Jacobs
Cover of the book Xenotransplantation and Risk by Bart Jacobs
Cover of the book Cultural Heritage in International Investment Law and Arbitration by Bart Jacobs
Cover of the book Clinical Ethics in Anesthesiology by Bart Jacobs
Cover of the book The Cauchy-Schwarz Master Class by Bart Jacobs
Cover of the book The Institutional Origins of Communal Violence by Bart Jacobs
Cover of the book Cognitive Behavioral Therapy for Eating Disorders by Bart Jacobs
Cover of the book Anti-Catholicism in America, 1620-1860 by Bart Jacobs
Cover of the book The Ethics of Multiple Citizenship by Bart Jacobs
Cover of the book Mobility Data by Bart Jacobs
Cover of the book Conservation Biology by Bart Jacobs
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy