Basic Category Theory
by Tom Leinster
Publisher: arXiv 2016
ISBN/ASIN: 1107044243
Number of pages: 191
Description:
This short 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 categorical concept, a generous supply of examples is provided, taken from different parts of mathematics.
Download or read it online for free here:
Download link
(1.3MB, PDF)
Similar books
Category Theory for Programmersby Bartosz Milewski - unglue.it
Category theory is the kind of math that is particularly well suited for the minds of programmers. It deals with the kind of structure that makes programs composable. And I will argue strongly that composition is the essence of programming.
(2431 views)
Categories, Types, and Structuresby Andrea Asperti, Giuseppe Longo - 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.
(13839 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.
(8705 views)
Category Theory for Scientistsby David I. Spivak - arXiv
We attempt to show that category theory can be applied throughout the sciences as a framework for modeling phenomena and communicating results. In order to target the scientific audience, this book is example-based rather than proof-based.
(6047 views)