This up-to-date introductory treatment employs the language of category theory to explore the theory of structures. Its unique approach stresses concrete categories, and each categorical notion features several examples that clearly illustrate specific and general cases.
A systematic view of factorization structures, this volume contains seven chapters. The first five focus on basic theory, and the final two explore more recent research results in the realm of concrete categories, cartesian closed categories, and quasitopoi. Suitable for advanced undergraduate and graduate students, it requires an elementary knowledge of set theory and can be used as a reference as well as a text. Updated by the authors in 2004, it offers a unifying perspective on earlier work and summarizes recent developments.
Acquired Abstract and Concrete Categories: The Joy of Cats by Jirí Adámek, Horst Herrlich, George E. Strecker
Purchased for use in Mike Miller’s upcoming class on Category Theory at UCLA beginning in January 2019.
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I read that tweet, still confused. What discipline is it?!
Broadly, category theory is abstract math, but it’s an area that also underpins functional programming within computer science as well. You can follow the link(s) for additional information/resources on my site.
Syndicated copies:
Thank you! I love it when there’s things I totally don’t understand, which happens remarkably often 🙂
Thank you! I love it when there’s things I totally don’t understand, which happens remarkably often 🙂
Shipped: Your Amazon package with Abstract and Concrete Categories: The Joy of Cats (Dover … will be delivered Fri, Nov 30. Track at http://a.co/d/ap6bCnB
The Amazon app gave me a useful enough notification that I was able to walk outside and pick up my package at the street just as it was delivered. How convenient for both me and the driver who didn’t even have to get out of the vehicle.