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  • Produktbild: The Joy of Abstraction
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The Joy of Abstraction An Exploration of Math, Category Theory, and Life

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

13.10.2022

Verlag

Cambridge University Press

Seitenzahl

438

Maße (L/B/H)

24/15,5/3 cm

Gewicht

770 g

Farbe

Sonnengelb

Sprache

Englisch

ISBN

978-1-108-47722-2

Beschreibung

Rezension

'This book is an educational tour de force that presents mathematical thinking as a right-brained activity. Most 'left brain/right brain' education-talk is at best a crude metaphor; but by putting the main focus on the process of (mathematical) abstraction, Eugenia Cheng supplies the reader (whatever their 'brain-type') with the mental tools to make that distinction precise and potentially useful. The book takes the reader along in small steps; but make no mistake, this is a major intellectual journey. Starting not with numbers, but everyday experiences, it develops what is regarded as a very advanced branch of abstract mathematics (category theory, though Cheng really uses this as a proxy for mathematical thinking generally). This is not watered-down math; it's the real thing. And it challenges the reader to think-deeply at times. We 'left-brainers' can learn plenty from it too.' Keith Devlin, Stanford University (Emeritus), author of The Joy of Sets

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

13.10.2022

Verlag

Cambridge University Press

Seitenzahl

438

Maße (L/B/H)

24/15,5/3 cm

Gewicht

770 g

Farbe

Sonnengelb

Sprache

Englisch

ISBN

978-1-108-47722-2

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: The Joy of Abstraction
  • Produktbild: The Joy of Abstraction
  • 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.