Introducing string diagrams: the art of category theory
String diagrams are powerful graphical methods for reasoning in elementary category theory. Written in an informal expository style, this book provides a self-contained introduction to these diagrammatic techniques, ideal for graduate students and researchers. Much of the book is devoted to worked e...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2023
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| Links: | https://doi.org/10.1017/9781009317825 |
| Zusammenfassung: | String diagrams are powerful graphical methods for reasoning in elementary category theory. Written in an informal expository style, this book provides a self-contained introduction to these diagrammatic techniques, ideal for graduate students and researchers. Much of the book is devoted to worked examples highlighting how best to use string diagrams to solve realistic problems in elementary category theory. A range of topics are explored from the perspective of string diagrams, including adjunctions, monad and comonads, Kleisli and Eilenberg-Moore categories, and endofunctor algebras and coalgebras. Careful attention is paid throughout to exploit the freedom of the graphical notation to draw diagrams that aid understanding and subsequent calculations. Each chapter contains plentiful exercises of varying levels of difficulty, suitable for self-study or for use by instructors. |
| Umfang: | 1 Online-Ressource (xii, 181 Seiten) |
| ISBN: | 9781009317825 |
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| spelling | Hinze, Ralf Introducing string diagrams the art of category theory Ralf Hinze, Dan Marsden Cambridge Cambridge University Press 2023 1 Online-Ressource (xii, 181 Seiten) txt c cr String diagrams are powerful graphical methods for reasoning in elementary category theory. Written in an informal expository style, this book provides a self-contained introduction to these diagrammatic techniques, ideal for graduate students and researchers. Much of the book is devoted to worked examples highlighting how best to use string diagrams to solve realistic problems in elementary category theory. A range of topics are explored from the perspective of string diagrams, including adjunctions, monad and comonads, Kleisli and Eilenberg-Moore categories, and endofunctor algebras and coalgebras. Careful attention is paid throughout to exploit the freedom of the graphical notation to draw diagrams that aid understanding and subsequent calculations. Each chapter contains plentiful exercises of varying levels of difficulty, suitable for self-study or for use by instructors. Marsden, Dan Erscheint auch als Druck-Ausgabe 9781009317863 |
| spellingShingle | Hinze, Ralf Introducing string diagrams the art of category theory |
| title | Introducing string diagrams the art of category theory |
| title_auth | Introducing string diagrams the art of category theory |
| title_exact_search | Introducing string diagrams the art of category theory |
| title_full | Introducing string diagrams the art of category theory Ralf Hinze, Dan Marsden |
| title_fullStr | Introducing string diagrams the art of category theory Ralf Hinze, Dan Marsden |
| title_full_unstemmed | Introducing string diagrams the art of category theory Ralf Hinze, Dan Marsden |
| title_short | Introducing string diagrams |
| title_sort | introducing string diagrams the art of category theory |
| title_sub | the art of category theory |
| work_keys_str_mv | AT hinzeralf introducingstringdiagramstheartofcategorytheory AT marsdendan introducingstringdiagramstheartofcategorytheory |