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: Higher AlgebraHigher Algebra
by - Harvard University
Contents: Stable infinite-Categories; infinite-Operads; Algebras and Modules over infinte-Operads; Associative Algebras and Their Modules; Little Cubes and Factorizable Sheaves; Algebraic Structures on infinite-Categories; and more.
(18601 views)
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.
(15142 views)
Book cover: Notes on Categories and GroupoidsNotes on Categories and Groupoids
by - Van Nostrand Reinhold
A self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.
(15540 views)
Book cover: Category Theory for the SciencesCategory Theory for the Sciences
by - The MIT Press
This book shows that category theory can be useful outside of mathematics as a flexible modeling language throughout the sciences. Written in an engaging and straightforward style, the book is rigorous but accessible to non-mathematicians.
(7838 views)