Re: [TYPES] Book on Category Theory

[ The Types Forum, http://lists.seas.upenn.edu/mailman/listinfo/types-list ]

In addition to Pierce's book, which was earlier mentioned, I strongly recommend Spivak's Category Theory for The Sciences and Lawvere & Schanuel's Conceptual Mathematics. Even though neither book is specifically for computer scientists, but both books are more modern, very accessible, and frequently discuss CS applications.

-Moez

-------- Original message --------
From: Aaron Gray <[email protected]> 
Date: 18/10/2017  21:22  (GMT+02:00) 
To: The TYPES forum <types-list-nHFbR+4dATOoZA3Q9b/[email protected]> 
Subject: [TYPES] Book on Category Theory 
 
[ The Types Forum, http://lists.seas.upenn.edu/mailman/listinfo/types-list ]

I am looking for a book on Category Theory that is ideally either aimed at
Type Theory or has the relevant topics to support the area.

I have bought three books on the topic so far, one 'Categories for Typesw'
by Crole did not even cover covariance and contravariance.I would also like
coverage of monoid and monads, and morphisms like anamorphisms and
catamorphisms.

I am also interested in papers applying category theory to areas of type
theory.

Suggestions of either online or printed material would be appreciated.

Many tahnks in advance,
-- 
Aaron Gray

Independent Open Source Software Engineer, Computer Language Researcher,
Information Theorist, and amateur computer scientist.