**A Gentle Introduction to Category Theory: the calculational approach**

by Maarten M. Fokkinga

**Publisher**: University of Twente 1994**Number of pages**: 80

**Description**:

In these notes we present the important notions from category theory. The intention is to provide a fairly good skill in manipulating with those concepts formally. This text differs from most other introductions to category theory in the calculational style of the proofs, the restriction to applications within algorithmics, and the omission of many additional concepts and facts that I consider not helpful in a first introduction to category theory.

Download or read it online for free here:

**Download link**

(390KB, PDF)

## Similar books

**Toposes, Triples and Theories**

by

**Michael Barr, Charles Wells**-

**Springer-Verlag**

Introduction to toposes, triples and theories and the connections between them. The book starts with an introduction to category theory, then introduces each of the three topics of the title. Exercises provide examples or develop the theory further.

(

**11629**views)

**Combinatorics and Algebra of Tensor Calculus**

by

**Sen Hu, Xuexing Lu, Yu Ye**-

**arXiv**

In this paper, we reveal the combinatorial nature of tensor calculus for strict tensor categories and show that there exists a monad which is described by the coarse-graining of graphs and characterizes the algebraic nature of tensor calculus.

(

**4124**views)

**Categories, Types, and Structures**

by

**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.

(

**15365**views)

**Abstract and Concrete Categories: The Joy of Cats**

by

**Jiri Adamek, Horst Herrlich, George Strecker**-

**John Wiley & Sons**

A modern introduction to the theory of structures via the language of category theory, the emphasis is on concrete categories. The first five chapters present the basic theory, while the last two contain more recent research results.

(

**15335**views)