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

by Brendan Fong, David I Spivak

**Publisher**: arXiv.org 2018**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.

Download or read it online for free here:

**Download link**

(2.1MB, PDF)

## Similar books

**Functors and Categories of Banach Spaces**

by

**Peter W. Michor**-

**Springer**

The aim of this book is to develop the theory of Banach operator ideals and metric tensor products along categorical lines: these two classes of mathematical objects are endofunctors on the category Ban of all Banach spaces in a natural way.

(

**9455**views)

**Dynamical Systems and Sheaves**

by

**D. I. Spivak, C. Vasilakopoulou, P. Schultz**-

**arXiv**

A categorical framework for modeling and analyzing systems in a broad sense is proposed. These systems should be thought of as 'machines' with inputs and outputs, carrying some sort of signal that occurs through some notion of time.

(

**5722**views)

**Higher-Dimensional Categories: an illustrated guide book**

by

**Eugenia Cheng, Aaron Lauda**-

**University of Sheffield**

This work gives an explanatory introduction to various definitions of higher-dimensional category. The emphasis is on ideas rather than formalities; the aim is to shed light on the formalities by emphasizing the intuitions that lead there.

(

**12076**views)

**Category Theory for the Sciences**

by

**David I. Spivak**-

**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.

(

**6097**views)