An Invitation to Applied Category Theory

Download or Read eBook An Invitation to Applied Category Theory PDF written by Brendan Fong and published by Cambridge University Press. This book was released on 2019-07-18 with total page 351 pages. Available in PDF, EPUB and Kindle.
An Invitation to Applied Category Theory
Author :
Publisher : Cambridge University Press
Total Pages : 351
Release :
ISBN-10 : 9781108582247
ISBN-13 : 1108582249
Rating : 4/5 (47 Downloads)

Book Synopsis An Invitation to Applied Category Theory by : Brendan Fong

Book excerpt: Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. 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 accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.


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