Seven Sketches in Compositionality: An Invitation to Applied Category Theory

Understand

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.
• No prior knowledge of category theory is assumed.