TY - BOOK ID - 99989891 TI - Introduction to coalgebra PY - 2017 SN - 1316835502 1316836010 1316836525 1316823180 1316837033 1316838560 1316832449 9781316838563 9781316837030 9781107177895 1107177898 PB - Cambridge, United Kingdom DB - UniCat KW - Associative algebras. KW - Universal enveloping algebras. KW - Algebra, Universal. KW - Algebras, Associative KW - Algebra KW - Algebra, Multiple KW - Multiple algebra KW - N-way algebra KW - Universal algebra KW - Algebra, Abstract KW - Numbers, Complex KW - Algebras, Universal enveloping KW - Enveloping algebras, Universal KW - Algebra, Universal KW - Jordan algebras KW - Lie algebras UR - https://www.unicat.be/uniCat?func=search&query=sysid:99989891 AB - 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. ER -