Logo

Seven Sketches in Compositionality: An Invitation to Applied Category Theory

Small book cover: Seven Sketches in Compositionality: An Invitation to Applied Category Theory

Seven Sketches in Compositionality: An Invitation to Applied Category Theory
by

Publisher: arXiv.org
Number of pages: 243

Description:
This book is an invitation to discover advanced topics in category theory through concrete, real-world examples. It aims to give a tour: a gentle, quick introduction to guide later exploration. The tour takes place over seven sketches, each pairing an evocative application, such as databases, electric circuits, or dynamical systems, with the exploration of a categorical structure, such as adjoint functors, enriched categories, or toposes.

Home page url

Download or read it online for free here:
Download link
(2.1MB, PDF)

Similar books

Book cover: Category Theory in ContextCategory Theory in Context
by - Dover Publications
This is a concise, original text for a one-semester introduction to the subject. The treatment introduces the essential concepts of category theory: categories, functors, natural transformations, the Yoneda lemma, limits and colimits, monads, etc.
(2220 views)
Book cover: Banach Modules and Functors on Categories of Banach SpacesBanach Modules and Functors on Categories of Banach Spaces
by - Marcel Dekker Inc
This book is the final outgrowth of a sequence of seminars about functors on categories of Banach spaces (held 1971 - 1975) and several doctoral dissertations. It has been written for readers with a general background in functional analysis.
(7705 views)
Book cover: Category Theory and Functional ProgrammingCategory Theory and Functional Programming
by - University of St. Andrews
An introduction to category theory that ties into Haskell and functional programming as a source of applications. Topics: definition of categories, special objects and morphisms, functors, natural transformation, (co-)limits and special cases, etc.
(9966 views)
Book cover: Category Theory: A Gentle IntroductionCategory Theory: A Gentle Introduction
by - Logic Matters
I hope that what is here may prove useful to others starting to get to grips with category theory. This text is intended to be relatively accessible; in particular, it presupposes rather less mathematical background than some texts on categories.
(4629 views)