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Polynomial Functors: A Mathematical Theory of Interaction: 498 (London Mathematical Society Lecture Note Series, Series Number 498)

SKU: 9781009576710

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A comprehensive mathematical exploration of polynomial functors and their role in modeling interaction and computation. This advanced text provides rigorous foundations for understanding categorical structures that describe systems with inputs and outputs.

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Description

Polynomial Functors: A Mathematical Theory of Interaction presents a systematic treatment of polynomial functors, which have emerged as powerful tools for modeling interactive systems and computational processes. This volume in the London Mathematical Society Lecture Note Series develops the theoretical foundations necessary for understanding how polynomial functors capture the essential structure of systems with multiple inputs and outputs.

The book combines category theory, algebra, and computational mathematics to provide a unified framework for analyzing interaction patterns. Authored by Nelson Niu and David I. Spivak, the text explores the deep connections between polynomial functors and various mathematical structures, offering both rigorous proofs and intuitive explanations. This work serves as an essential reference for researchers in category theory, mathematical logic, computer science, and applied mathematics who seek to understand the mathematical principles underlying interactive computation.

Additional information

Author

Nelson Niu, David I. Spivak

Publisher

‏ : ‎ Cambridge University Press

ISBN

9781009576710

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