An Invitation to Applied Category Theory
An Invitation to Applied Category Theory Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. By facilitating…
Specifikacia An Invitation to Applied Category Theory
An Invitation to Applied Category Theory
Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry.
Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. This book offers a self-contained tour of applied category theory. We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors.
All the relevant category theory, from simple to sophisticated, is introduced in an
Category Theory