|Statement||D.H. Pitt ... [et al.] (ed.).|
|Series||Lecture notes in computer science ;, 389|
|LC Classifications||QA76.6 .C3882 1989|
|The Physical Object|
|Pagination||vi, 365 p. :|
|Number of Pages||365|
|LC Control Number||89021759|
Category theory has, in recent years, become increasingly important and popular in computer science, and many universities now include it as part of their curriculums. This text is geared to students of mathematics as well as undergraduate computer by: Since this is category theory for programmers I will illustrate all major concepts using computer code. You are probably aware that functional languages are closer to math than the more popular imperative languages. They also offer more abstracting power. So a natural temptation would be to say: You must learn Haskell before the bounty of. Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in. I believe that the language and toolset of category theory can be useful throughout science. We build scientiﬁc understanding by developing models, and category theory is the study of basic conceptual building blocks and how they cleanly ﬁt together to make such models. Certain structures and conceptual frameworks show up again and again in.
There is no "one size fits all" answer to this question. It strongly depends on the context of the reader. That said, I can offer several suggestions for different demographics. If you are starting from zero and have little background with math. Barr and Wells, in addition to Toposes, Triples and Theories, have written Category Theory for the Computing Sciences, a comprehensive tome which goes through most of the interesting aspects of category theory with a constant explicit drive to relate everything to computer science whenever possible. Both books are available online as TAC Reprints. ( views) Category Theory for Computing Science by Michael Barr, Charles Wells - 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. This category has the following 6 subcategories, out of 6 total. (2 C, 10 P) Software engineering books (2 C, 12 P) Pages in category "Computer science books" The following 54 pages are in this category, out of 54 total. Introduction to Automata Theory, Languages, and Computation;.
Category theory continues to be an important tool in foundationalstudies in computer science. It has been widely applied by logicians to get concise interpretations of many logical concepts. Links between logic and computer science have been developed now for over twenty years, notably via the Curry-Howard isomorphism which identifies programs. Category theory applied to computation and control: Proceedings of the first international symposium, San Francisco, February , (Lecture notes in computer science) by American Mathematical Society; American Association for the Advancement of Scien and a great selection of related books, art and collectibles available now at Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).A category has two basic properties: the ability to compose the arrows associatively, and the existence of an identity arrow for each object. one of the reasons for the increasing role of category theory in the semantic investigation of programs if compared, say, to the set-theoretic approach. However, the influence of this mathematical discipline on computer science goes beyond the methodological issue, as the categorical approach to.