Categories for the Working Mathematician

Posted on 04 March 2017 by Saunders Mac Lane

Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors The categories of algebraic systems are constructed from certain adjoint like data and characterized by Beck s theorem After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. Best Read Kindle ePUB Categories for the Working Mathematician Author Saunders Mac Lane – kino-fada.fr Being one of the fathers of category theory, Mac Lane did muchto averse people from CT, than many category haters Poorly structured text, esoteric stuff, many proofs left as exercises to the reader and uneven writing make this book bad choice for beginners This book contrasts with Algebra written in collaboration with Birkhoff If you want to start with Category Theory, you d want to begin with Awodey or even better choice IMO Tom Leinster While being ...Holy Crap Everything you ever wanted to know about category theory in one astoundingly clear and concise book This is truly one stop shopping for category theorists and it has been a good friend during my thesis writing I was just now thumbing through for the specifics on enriched categories when I felt a serious appreciation for this book I highly recommend Categories for the Working Mathematician not only to my fellow working mathematicians but also to anyone with an interest in higher m Holy Crap Everything you ever wanted to know about category theory in one astoundingly clear and concise book This is truly one stop s...While very complete and concise, it s not very intuitive the words stiff, boring and formal come to mind and makes for a very hard time actually digesting and understanding the concepts presented.Part of the RedditU course on Category Theory.

English
04 March 2017

Saunders Mac Lane