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An Invitation to Applied Category Theory

An Invitation to Applied Category Theory

Seven Sketches in Compositionality

by Brendan Fong and David I. Spivak
Hardback
Publication Date: 31/08/2019

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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.
ISBN:
9781108482295
9781108482295
Category:
Mathematics
Format:
Hardback
Publication Date:
31-08-2019
Language:
English
Publisher:
Cambridge University Press
Country of origin:
United Kingdom
Dimensions (mm):
252x178x22mm
Weight:
0.84kg

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