Eugenia Cheng: The Joy of Abstraction

Cover: 9781108708449 | The Joy of Abstraction | Eugenia Cheng | Taschenbuch | Englisch | 2024

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Sprache: Englisch

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Beschreibung

Journey through the world of abstract mathematics into category theory with popular science author Eugenia Cheng. Featuring humanizing examples and demystification of mathematical thought processes, this book is for fans of How to Bake Pi who want to dig deeper into mathematical concepts and build their mathematical background.

Über den Autor

Dr. Eugenia Cheng is world-renowned as both a researcher in category theory and an expositor of mathematics. She has written several popular mathematics books including How to Bake Pi (2015), The Art of Logic in an Illogical World (2017), and two children's books. She also writes the 'Everyday Math' column for the Wall Street Journal. She is Scientist in Residence at the School of the Art Institute of Chicago, where she teaches abstract mathematics to art students. She holds a Ph.D. in category theory from the University of Cambridge, and won tenure in pure mathematics at the University of Sheffield. You can follow her [...]

Inhaltsverzeichnis

Prologue; Part I. Building Up to Categories: 1. Categories: the idea; 2. Abstraction; 3. Patterns; 4. Context; 5. Relationships; 6. Formalism; 7. Equivalence relations; 8. Categories: the definition; Interlude: A Tour of Math: 9. Examples we've already seen, secretly; 10. Ordered sets; 11. Small mathematical structures; 12. Sets and functions; 13. Large worlds of mathematical structures; Part II. Doing Category Theory: 14. Isomorphisms; 15. Monics and epics; 16. Universal properties; 17. Duality; 18. Products and coproducts; 19. Pullbacks and pushouts; 20. Functors; 21. Categories of categories; 22. Natural transformations; 23. Yoneda; 24. Higher dimensions; 25. Epilogue: thinking categorically; Appendices: A. Background on alphabets; B. Background on basic logic; C. Background on set theory; D. Background on topological spaces; Glossary; Further reading; Acknowledgements; Index.

Erscheinungsjahr:	2024
Fachbereich:	Allgemeines
Genre:	Philosophie
Jahrhundert:	Antike
Rubrik:	Geisteswissenschaften
Thema:	Lexika
Medium:	Taschenbuch
ISBN-13:	9781108708449
ISBN-10:	1108708447
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Cheng, Eugenia
Hersteller:	Cambridge University Pr.
Abbildungen:	Worked examples or Exercises
Maße:	228 x 152 x 37 mm
Von/Mit:	Eugenia Cheng
Erscheinungsdatum:	04.04.2024
Gewicht:	0,75 kg

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