**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

**Basic Concepts of Enriched Category Theory**

by

**Max Kelly**-

**Cambridge University Press**

The book presents a selfcontained account of basic category theory, assuming as prior knowledge only the most elementary categorical concepts. It is designed to supply a connected account of the theory, or at least of a substantial part of it.

(

**10571**views)

**Higher Topos Theory**

by

**Jacob Lurie**-

**Princeton University Press**

Jacob Lurie presents the foundations of higher category theory, using the language of weak Kan complexes, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.

(

**9976**views)

**Categories and Modules**

by

**Takahiro Kato**-

**viXra.org**

Modules and morphisms among them subsume categories and functors and provide more general framework to explore the theory of structures. In this book we generalize the basic notions and results of category theory using this framework of modules.

(

**5579**views)

**Basic Category Theory**

by

**Jaap van Oosten**-

**University of Utrecht**

Contents: Categories and Functors; Natural transformations; (Co)cones and (Co)limits; A little piece of categorical logic; Adjunctions; Monads and Algebras; Cartesian closed categories and the lambda-calculus; Recursive Domain Equations.

(

**9445**views)