Logo

A Gentle Introduction to Category Theory: the calculational approach

A Gentle Introduction to Category Theory: the calculational approach
by

Publisher: University of Twente
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.

Home page url

Download or read it online for free here:
Download link
(390KB, PDF)

Similar books

Book cover: Category Theory for Computing ScienceCategory Theory for Computing Science
by - Prentice Hall
This book is a textbook in basic category theory, written specifically to be read by researchers and students in computing science. We expound the constructions basic to category theory in the context of applications to computing science.
(4517 views)
Book cover: Introduction to Categories and Categorical LogicIntroduction to Categories and Categorical Logic
by - arXiv
These notes provide a succinct, accessible introduction to some of the basic ideas of category theory and categorical logic. The main prerequisite is a basic familiarity with the elements of discrete mathematics: sets, relations and functions.
(7197 views)
Book cover: Combinatorics and Algebra of Tensor CalculusCombinatorics and Algebra of Tensor Calculus
by - 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.
(2270 views)
Book cover: Basic Category TheoryBasic Category Theory
by - 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.
(2004 views)