Logo

Abstract and Concrete Categories: The Joy of Cats

Large book cover: Abstract and Concrete Categories: The Joy of Cats

Abstract and Concrete Categories: The Joy of Cats
by

Publisher: John Wiley & Sons
ISBN/ASIN: 0471609226
ISBN-13: 9780471609223
Number of pages: 496

Description:
A modern introduction to the theory of structures via the language of category theory. Unique to this book is the emphasis on concrete categories. Also noteworthy is the systematic treatment of factorization structures, which gives a new, unifying perspective to earlier work and summarizes recent developments. Each categorical notion is accompanied by many examples, usually moving from special cases to more general cases. Comprises seven chapters; the first five present the basic theory, while the last two contain more recent research results in the realm of concrete categories, cartesian closed categories and quasitopoi. The prerequisite is an elementary knowledge of set theory. Contains exercises.

Home page url

Download or read it online for free here:
Download link
(4.2MB, PDF)

Similar books

Book cover: Category Theory for ProgrammersCategory Theory for Programmers
by - 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.
(8431 views)
Book cover: Banach Modules and Functors on Categories of Banach SpacesBanach Modules and Functors on Categories of Banach Spaces
by - Marcel Dekker Inc
This book is the final outgrowth of a sequence of seminars about functors on categories of Banach spaces (held 1971 - 1975) and several doctoral dissertations. It has been written for readers with a general background in functional analysis.
(11667 views)
Book cover: Basic Category TheoryBasic Category Theory
by - University of Utrecht
Contents: Categories and Functors; Natural transformations; (Co)cones and (Co)limits; A little piece of categorical logic; Adjunctions; Monads and Algebras; Cartesian closed categories and the lambda-calculus; Recursive Domain Equations.
(13923 views)
Book cover: Category Theory for the SciencesCategory Theory for the Sciences
by - The MIT Press
This book shows that category theory can be useful outside of mathematics as a flexible modeling language throughout the sciences. Written in an engaging and straightforward style, the book is rigorous but accessible to non-mathematicians.
(8719 views)