Introducing String Diagrams: The Art of Category Theory

String diagrams are a graphical method for reasoning in elementary category theory, and this book provides a self-contained introduction to these diagrammatic techniques, with worked examples and exercises for graduate students and researchers.

Format: Hardback
Length: 195 pages
Publication date: 10 August 2023
Publisher: Cambridge University Press

String diagrams are incredibly effective graphical tools for reasoning in elementary category theory. Written in a casual, expository style, this book offers a comprehensive introduction to these diagrammatic techniques, making it an ideal resource for graduate students and researchers. The majority of the book is dedicated to showcasing practical examples of how string diagrams can be utilized to solve real-world problems in elementary category theory. A wide array of topics are explored from the perspective of string diagrams, including adjunctions, monads and comonads, Kleisli and Eilenberg–Moore categories, and endofunctor algebras and coalgebras. Throughout, meticulous attention is given to leveraging the flexibility of the graphical notation to create diagrams that enhance understanding and facilitate subsequent calculations. Each chapter includes a generous selection of exercises, catering to self-study or classroom use, with varying levels of difficulty to challenge readers.

String diagrams are incredibly effective graphical tools for reasoning in elementary category theory. Written in a casual, expository style, this book offers a comprehensive introduction to these diagrammatic techniques, making it an ideal resource for graduate students and researchers. The majority of the book is dedicated to showcasing practical examples of how string diagrams can be utilized to solve real-world problems in elementary category theory. A wide array of topics are explored from the perspective of string diagrams, including adjunctions, monads and comonads, Kleisli and Eilenberg–Moore categories, and endofunctor algebras and coalgebras. Throughout, meticulous attention is given to leveraging the flexibility of the graphical notation to create diagrams that enhance understanding and facilitate subsequent calculations. Each chapter includes a generous selection of exercises, catering to self-study or classroom use, with varying levels of difficulty to challenge readers.

Weight: 514g
Dimension: 177 x 252 x 18 (mm)
ISBN-13: 9781009317863