Category Theory. Category Theory: Paperback: Steve Awodey. Important growing area of mathematicsClear definitions of all basic concepts Combines rigour with an appealing informalityContains precise statements of all essential theorems, with full proofs of all theorems, propositions and lemmasBased on courses given at Carnegie Mellon UniversityNumerous exercises provided New to this edition Nearly a hundred new exercisesMany more examples and diagramsWorked solutions to almost half the exercisesNew coverage of monoidal categoriesCategory theory is a branch of abstract algebra with incredibly diverse applications.
Reference request - Good books and lecture notes about category theory. Theory and Applications of Categories. Category Theory for Scientists. Category Theory. First published Fri Dec 6, 1996; substantive revision Fri Apr 26, 2013 Category theory has come to occupy a central position in contemporary mathematics and theoretical computer science, and is also applied to mathematical physics.
Roughly, it is a general mathematical theory of structures and of systems of structures. Category theory. A category with objects X, Y, Z and morphisms f, g, g ∘ f, and three identity morphisms (not shown) 1X, 1Y and 1Z.
Several terms used in category theory, including the term "morphism", differ from their uses within mathematics itself. In category theory, a "morphism" obeys a set of conditions specific to category theory itself.