author : Bart Jacobs

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 of interest to mathematical physicists, biologists and economists.