An example- and exercise-filled book for mathematical and scientific modelers with an introductory knowledge of category theory (e.g., readers of Cheng's 'Joy of Abstraction' or Fong & Spivak's 'Invitation to Applied Category Theory') interested in learning to apply the category of polynomial functors to real-world interacting dynamical systems.
An example- and exercise-filled book for mathematical and scientific modelers with an introductory knowledge of category theory (e.g., readers of Cheng's 'Joy of Abstraction' or Fong & Spivak's 'Invitation to Applied Category Theory') interested in learning to apply the category of polynomial functors to real-world interacting dynamical systems.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Nelson Niu is a Ph.D. Student in the Department of Mathematics at the University of Washington. He was a keynote speaker on Polynomial Functors at the 2022 Artificial General Intelligence Conference. He conducted research in applied category theory with David I. Spivak at MIT and currently consults with NASA on category theory applied to Advanced Air Mobility Architectures.
Inhaltsangabe
Part I. The Category of Polynomial Functors: 1. Representable functors from the category of sets 2. Polynomial functors 3. The category of polynomial functors 4. Dynamical systems as dependent lenses 5. More categorical properties of polynomials Part II. A Different Category of Categories: 6. The composition product 7. Polynomial comonoids and retrofunctors 8. Categorical properties of polynomial comonoids 9. Future work in polynomial functors References Index.
Part I. The Category of Polynomial Functors: 1. Representable functors from the category of sets 2. Polynomial functors 3. The category of polynomial functors 4. Dynamical systems as dependent lenses 5. More categorical properties of polynomials Part II. A Different Category of Categories: 6. The composition product 7. Polynomial comonoids and retrofunctors 8. Categorical properties of polynomial comonoids 9. Future work in polynomial functors References Index.
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