Timeline for Categories First Or Categories Last In Basic Algebra?
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| Nov 9, 2011 at 18:57 | history | edited | Giorgio Mossa | CC BY-SA 3.0 |
improved question
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| Nov 8, 2011 at 16:24 | comment | added | Giorgio Mossa | Thanks for have found time to read my answer, I'd like to comment about formalism. I don't think math student would be so frighten by formal definitions of category theory as long as one explains were this formal definition come from: about this we can consider my representation of a category just like graph with structure. When student have a natural representation of an object its easy for them work with this object and understand it, the only problem is give good representations | |
| Nov 8, 2011 at 15:45 | comment | added | Todd Trimble | You're making a lot of good points here, Giorgio. I'm a believer in teaching at least some of the underlying ideas of category theory in undergraduate courses. Not formally, and not even by scary names like functor, but just some of the ideas as they come up in their simplest and natural forms. I myself first learned about categories through the introduction of Spanier's Algebraic Topology (of all places!), and very quickly discovered conceptual answers to a lot of questions I had about things like "quotient", "product", and "dual". It wasn't long before I was reading CWM from cover to cover! | |
| Nov 8, 2011 at 14:39 | history | answered | Giorgio Mossa | CC BY-SA 3.0 |