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: Mixed MotivesMixed Motives
by - American Mathematical Society
This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry.
(17892 views)
Book cover: Computational Category TheoryComputational Category Theory
by
The book is a bridge-building exercise between computer programming and category theory. Basic constructions of category theory are expressed as computer programs. It is a first attempt at connecting the abstract mathematics with concrete programs.
(22080 views)
Book cover: Categorical Homotopy TheoryCategorical Homotopy Theory
by - Cambridge University Press
This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Emily Riehl discusses two competing perspectives by which one typically first encounters homotopy (co)limits ...
(7301 views)
Book cover: Category TheoryCategory Theory
- Wikibooks
This book is an introduction to category theory, written for those who have some understanding of one or more branches of abstract mathematics, such as group theory, analysis or topology. It contains examples drawn from various branches of math.
(14933 views)