Introduction to Coalgebra
eBook - PDF

Introduction to Coalgebra

Towards Mathematics of States and Observation

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Introduction to Coalgebra

Towards Mathematics of States and Observation

About this book

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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Yes, you can access Introduction to Coalgebra by Bart Jacobs in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Table of contents
  7. Preface
  8. 1 Motivation
  9. 2 Coalgebras of Polynomial Functors
  10. 3 Bisimulations
  11. 4 Logic, Lifting and Finality
  12. 5 Monads, Comonads and Distributive Laws
  13. 6 Invariants and Assertions
  14. References
  15. Definition and Symbol Index
  16. Subject Index