Logo

Dynamical Systems and Sheaves

Small book cover: Dynamical Systems and Sheaves

Dynamical Systems and Sheaves
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(610KB, PDF)

Similar books

Book cover: Notes on Category Theory with examples from basic mathematicsNotes on Category Theory with examples from basic mathematics
by - 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.
(937 views)
Book cover: Category Theory: A Gentle IntroductionCategory Theory: A Gentle Introduction
by - Logic Matters
I hope that what is here may prove useful to others starting to get to grips with category theory. This text is intended to be relatively accessible; in particular, it presupposes rather less mathematical background than some texts on categories.
(8112 views)
Book cover: Categories, Types, and StructuresCategories, Types, and Structures
by - MIT Press
Here is an introduction to category theory for the working computer scientist. It is a self-contained introduction to general category theory and the mathematical structures that constitute the theoretical background.
(19060 views)
Book cover: Notes on Categories and GroupoidsNotes on Categories and Groupoids
by - Van Nostrand Reinhold
A self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.
(15623 views)