
Dynamical Systems and Sheaves
by D. I. Spivak, C. Vasilakopoulou, P. Schultz
Publisher: arXiv 2016
Number of pages: 65
Description:
A categorical framework for modeling and analyzing systems in a broad sense is proposed. These systems should be thought of as 'machines' with inputs and outputs, carrying some sort of signal that occurs through some notion of time. Special cases include discrete, continuous, and hybrid dynamical systems. A central goal is to understand the systems that result from arbitrary interconnection of component subsystems.
Download or read it online for free here:
Download link
(610KB, PDF)
Similar books
Notes on Category Theory with examples from basic mathematicsby Paolo Perrone - arXiv
These notes were originally developed as lecture notes for a category theory course. They should be well-suited to anyone that wants to learn category theory from scratch and has a scientific mind. There is no need to know advanced mathematics.
(2887 views)
Higher Operads, Higher Categoriesby Tom Leinster - arXiv
Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from topology, quantum algebra, mathematical physics, logic, and computer science.
(14911 views)
Basic Category Theoryby Tom Leinster - arXiv
This introduction to category theory is for readers with relatively little mathematical background. At its heart is the concept of a universal property, important throughout mathematics. For each new concept a generous supply of examples is provided.
(11313 views)
Abelian Categories: an Introduction to the Theory of Functorsby Peter Freyd - Harper and Row
From the table of contents: Fundamentals (Contravariant functors and dual categories); Fundamentals of Abelian categories; Special functors and subcategories; Metatheorems; Functor categories; Injective envelopes; Embedding theorems.
(15726 views)