[Haskell-cafe] Re: Best book/tutorial on category theory and its applications
fero frantisek.kocun at gmail.com writes: What do you think about Categories and Computer Science (Cambridge Computer Science Texts) at http://www.amazon.com/Categories-Computer-Science-Cambridge- Texts/dp/0521422264/ref=si3_rdr_bb_product ? I couldn't see monads or the Yoneda lemma in the index. As a Haskell programmer, the lack of the former might be a concern; the latter is a standard result. Dominic. ___ Haskell-Cafe mailing list Haskell-Cafe@haskell.org http://www.haskell.org/mailman/listinfo/haskell-cafe
Re: [Haskell-cafe] Re: Best book/tutorial on category theory and its applications
If you want to see a human being explain some categorical ideas, there is a nice (and growing) collection of video mini-tutorials on youtube by the Catsters. http://www.youtube.com/user/TheCatsters -Nathan Bloomfield (I first sent this just to Pierre by accident - sorry!) ___ Haskell-Cafe mailing list Haskell-Cafe@haskell.org http://www.haskell.org/mailman/listinfo/haskell-cafe
Re: [Haskell-cafe] Re: Best book/tutorial on category theory and its applications
Does _Conceptual Mathematics_ discuss monads? I'm currently working on it, I'm at section 13 with Monoids but there are no Monads at the horizon. I have briefly gone through the end of the book and did not recognize anything similar to a Monad. But I might not be able to recognize a Monad in a category theory presentation, though. However, as a complete n00b in category theory, I find this book perfect. I tried Mac Lane's book (Categories for the working mathematician) first but I was distracted by the notations and the long, painful mathematical sentences. Nevertheless, none of these books are computer scientist-oriented. I have been recommended Categories for Types by Crole. I plan to work on it after Conceptual Mathematic and Mac Lane's book. Right now, I've now real opinion about it: at first glance, it looks as technical as Mac Lane's book. I believe some enlightened people here could give more useful review of it. HTH, -- Pierre-Evariste DAGAND http://perso.eleves.bretagne.ens-cachan.fr/~dagand/ ___ Haskell-Cafe mailing list Haskell-Cafe@haskell.org http://www.haskell.org/mailman/listinfo/haskell-cafe
[Haskell-cafe] Re: Best book/tutorial on category theory and its applications
On Mon, 28 Jul 2008 01:41:50 -0700 (PDT), fero [EMAIL PROTECTED] wrote: Hi, I would like to buy some booke on category theory and its applications. Can you recommend me the best? Recently, I had to study some category theory in order to prepare for a local category theory study group meeting, and after some comparison, settled on the following relatively short set (128 pp.) of notes, condensed from a much thicker book (303 pp.) on category theory: Category Theory Lecture Notes for ESSLLI Michael Barr, Department of Mathematics and Statistics, McGill University Charles Wells, Department of Mathematics, Case Western Reserve University http://www.math.upatras.gr/~cdrossos/Docs/B-W-LectureNotes.pdf The above-mentioned lecture notes were condensed from the following book, and then rearranged to present category theory from a computer science perspective: Toposes, Triples and Theories by Michael Barr and Charles Wells http://www.cwru.edu/artsci/math/wells/pub/ttt.html According to the above-referenced home page for this book: The original book, Grundlehren der math. Wissenschaften 278. Springer-Verlag, 1983, is now out of print. A revised and corrected version is now available free for downloading. An even shorter book on category theory is the following: A Gentle Introduction to Category Theory - the calculational approach by Maarten M Fokkinga http://wwwhome.cs.utwente.nl/~fokkinga/mmf92b.html However, I did not prefer the above book, despite its brevity, because unlike the other two titles, it did not including any specific material on monads. What do you think about Categories and Computer Science (Cambridge Computer Science Texts) at http://www.amazon.com/Categories-Computer-Science-Cambridge-Texts/dp/0521422264/ref=si3_rdr_bb_product ? I haven't read it, so I would need to review it before giving an opinion. I shall keep it in mind, however; thank you for the reference. -- Benjamin L. Russell ___ Haskell-Cafe mailing list Haskell-Cafe@haskell.org http://www.haskell.org/mailman/listinfo/haskell-cafe
[Haskell-cafe] Re: Best book/tutorial on category theory and its applications
On Mon, 28 Jul 2008 20:04:17 +0900, Benjamin L.Russell [EMAIL PROTECTED] wrote: What do you think about Categories and Computer Science (Cambridge Computer Science Texts) at http://www.amazon.com/Categories-Computer-Science-Cambridge-Texts/dp/0521422264/ref=si3_rdr_bb_product ? I haven't read it, so I would need to review it before giving an opinion. I shall keep it in mind, however; thank you for the reference. I have just added information on _Categories and Computer Science (Cambridge Computer Science Texts)_ to the HaskellWiki; viz.: Books and tutorials - HaskellWiki http://www.haskell.org/haskellwiki/Books_and_tutorials Incidentally, my earlier references to books on category theory all originally were obtained from the HaskellWiki page on Category Theory: Category theory - HaskellWiki http://haskell.org/haskellwiki/Category_theory#See_also You may find some other useful references there as well. -- Benjamin L. Russell ___ Haskell-Cafe mailing list Haskell-Cafe@haskell.org http://www.haskell.org/mailman/listinfo/haskell-cafe
Re: [Haskell-cafe] Re: Best book/tutorial on category theory and its applications
Thanks Benjamin, especially for http://haskell.org/haskellwiki/Category_theory#See_also and I found there Haskell wiki. I will take a look at the books as well. Fero On Mon, Jul 28, 2008 at 2:14 PM, Benjamin L. Russell [EMAIL PROTECTED] wrote: On Mon, 28 Jul 2008 20:04:17 +0900, Benjamin L.Russell [EMAIL PROTECTED] wrote: What do you think about Categories and Computer Science (Cambridge Computer Science Texts) at http://www.amazon.com/Categories-Computer-Science-Cambridge-Texts/dp/0521422264/ref=si3_rdr_bb_product ? I haven't read it, so I would need to review it before giving an opinion. I shall keep it in mind, however; thank you for the reference. I have just added information on _Categories and Computer Science (Cambridge Computer Science Texts)_ to the HaskellWiki; viz.: Books and tutorials - HaskellWiki http://www.haskell.org/haskellwiki/Books_and_tutorials Incidentally, my earlier references to books on category theory all originally were obtained from the HaskellWiki page on Category Theory: Category theory - HaskellWiki http://haskell.org/haskellwiki/Category_theory#See_also You may find some other useful references there as well. -- Benjamin L. Russell ___ Haskell-Cafe mailing list Haskell-Cafe@haskell.org http://www.haskell.org/mailman/listinfo/haskell-cafe ___ Haskell-Cafe mailing list Haskell-Cafe@haskell.org http://www.haskell.org/mailman/listinfo/haskell-cafe
Re: [Haskell-cafe] Re: Best book/tutorial on category theory and its applications
On Mon, Jul 28, 2008 at 5:04 AM, Benjamin L. Russell [EMAIL PROTECTED] wrote: Category Theory Lecture Notes for ESSLLI Michael Barr, Department of Mathematics and Statistics, McGill University Charles Wells, Department of Mathematics, Case Western Reserve University http://www.math.upatras.gr/~cdrossos/Docs/B-W-LectureNotes.pdf So far this has been an excellent read for someone failing to grok category theory for a while! Thanks! Luke The above-mentioned lecture notes were condensed from the following book, and then rearranged to present category theory from a computer science perspective: Toposes, Triples and Theories by Michael Barr and Charles Wells http://www.cwru.edu/artsci/math/wells/pub/ttt.html According to the above-referenced home page for this book: The original book, Grundlehren der math. Wissenschaften 278. Springer-Verlag, 1983, is now out of print. A revised and corrected version is now available free for downloading. An even shorter book on category theory is the following: A Gentle Introduction to Category Theory - the calculational approach by Maarten M Fokkinga http://wwwhome.cs.utwente.nl/~fokkinga/mmf92b.html However, I did not prefer the above book, despite its brevity, because unlike the other two titles, it did not including any specific material on monads. What do you think about Categories and Computer Science (Cambridge Computer Science Texts) at http://www.amazon.com/Categories-Computer-Science-Cambridge-Texts/dp/0521422264/ref=si3_rdr_bb_product ? I haven't read it, so I would need to review it before giving an opinion. I shall keep it in mind, however; thank you for the reference. -- Benjamin L. Russell ___ Haskell-Cafe mailing list Haskell-Cafe@haskell.org http://www.haskell.org/mailman/listinfo/haskell-cafe ___ Haskell-Cafe mailing list Haskell-Cafe@haskell.org http://www.haskell.org/mailman/listinfo/haskell-cafe
[Haskell-cafe] Re: Best book/tutorial on category theory and its applications
On Mon, 28 Jul 2008 11:52:43 -0700, Tim Chevalier [EMAIL PROTECTED] wrote: I've only read the beginning, but I recommend _Conceptual Mathematics_ by Lawvere and Schanuel for a *very* gentle introduction (seriously, you could probably teach category theory to ten-year-olds out of this book.) Nothing about applications there, though. Does _Conceptual Mathematics_ discuss monads? -- Benjamin L. Russell ___ Haskell-Cafe mailing list Haskell-Cafe@haskell.org http://www.haskell.org/mailman/listinfo/haskell-cafe
