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An Invitation to Applied Category Theory
SPAR
kr 150
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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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.
Produktdetaljer
Sprog: Engelsk
Sider: 348
ISBN-13: 9781108711821
Indbinding: Paperback
Udgave:
ISBN-10: 1108711820
Kategori: Matematisk logik
Udg. Dato: 18 jul 2019
Længde: 17mm
Bredde: 242mm
Højde: 188mm
Oplagsdato: 18 jul 2019
Forfatter(e) Brendan (Massachusetts Institute of Technology) Fong, David I. (Massachusetts Institute of Technology) Spivak, David I. Spivak, Brendan Fong


Kategori Matematisk logik


Sprog Engelsk


Indbinding Paperback


Sider 348


Udgave


Længde 17mm


Bredde 242mm


Højde 188mm

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