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Cover: 9781108477222 | The Joy of Abstraction | Eugenia Cheng | Buch | Englisch | 2022
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The Joy of Abstraction
An Exploration of Math, Category Theory, and Life
Buch von Eugenia Cheng
Sprache: Englisch

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Beschreibung
This popular undergraduate quantum mechanics textbook is now available in a more affordable printing from Cambridge University Press. Suitable for undergraduate physics students, worked examples are included throughout and end of chapter problems act to reinforce and extend key concepts. A fully worked solutions manual is available for instructors.
This popular undergraduate quantum mechanics textbook is now available in a more affordable printing from Cambridge University Press. Suitable for undergraduate physics students, worked examples are included throughout and end of chapter problems act to reinforce and extend key concepts. A fully worked solutions manual is available for instructors.
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.
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Buch
ISBN-13: 9781108477222
ISBN-10: 1108477224
Sprache: Englisch
Einband: Gebunden
Autor: Cheng, Eugenia
Auflage: New ed
Hersteller: Cambridge University Pr.
Abbildungen: Worked examples or Exercises
Maße: 240 x 155 x 30 mm
Von/Mit: Eugenia Cheng
Erscheinungsdatum: 13.10.2022
Gewicht: 0,764 kg
Artikel-ID: 121612551
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.
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Buch
ISBN-13: 9781108477222
ISBN-10: 1108477224
Sprache: Englisch
Einband: Gebunden
Autor: Cheng, Eugenia
Auflage: New ed
Hersteller: Cambridge University Pr.
Abbildungen: Worked examples or Exercises
Maße: 240 x 155 x 30 mm
Von/Mit: Eugenia Cheng
Erscheinungsdatum: 13.10.2022
Gewicht: 0,764 kg
Artikel-ID: 121612551
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