tag:blogger.com,1999:blog-3722233.post6768931725127470990..comments2024-06-13T23:23:44.643-05:00Comments on Computational Complexity: Books to Inspire MathLance Fortnowhttp://www.blogger.com/profile/06752030912874378610noreply@blogger.comBlogger7125tag:blogger.com,1999:blog-3722233.post-27901650196531684642023-09-12T20:29:24.456-05:002023-09-12T20:29:24.456-05:00"Algorithms to Live By" is also a good b..."Algorithms to Live By" is also a good book.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-43137040333944756642023-09-12T01:21:36.110-05:002023-09-12T01:21:36.110-05:00Agreed. And that's a good point for books. I&#...Agreed. And that's a good point for books. I'm currently reading "Introduction to Proofs and Proof Strategies" (S. Fuchs) and really liking it. It's part of the (fairly large) literature on moving kids who are good at high-school math into proof-oriented higher math, and as a _textbook_ has lots and lots of problems, some of them of the "Prove that X" variety. Michael Penn's courses alternate between a lecture video and a problem set video, but I think problems on paper are better.<br /><br />My current mindset is that grinding a lot of problems has a lot of value, and so I like books that act textbooky by providing lots of problems.<br /><br />Still, the math videos show complete proofs or derivations of some seriously painful stuff in gory detail, often demonstrating the use of things you were wondering why the textbook was being so insistent about.<br /><br />It's a great time to be reviewing one's math.<br />David in Tokyonoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-89210674049503436322023-09-11T11:05:19.001-05:002023-09-11T11:05:19.001-05:00"You don't know what math is until you pr..."You don't know what math is until you prove a math theorem by yourself"Marzio De Biasihttps://www.nearly42.orgnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-47439990087978052023-09-10T22:04:35.542-05:002023-09-10T22:04:35.542-05:00Can you trust those videos?
Yes, I think. A book r...Can you trust those videos?<br />Yes, I think. A book retains all the typos and thinkos the authors missed until the next edition, but the videos get reviewed immediately in the comments.<br /><br />FWIW, the videos vary a lot. Numberphile and Mathlogger are about single, random issues, whereas (some of) both 3blue1brown's and Michael Penn's videos are more organized. I'm currently a Michael Penn fan, because he does courses that I'm currently interested in and then follows them up with serious examples. Today's video, for example, extends his abstract algebra course and is important for comp. sci. types: How the power set forms a ring.<br /><br />https://www.youtube.com/watch?v=fvMnVKq3UtU<br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-69894464106364824442023-09-10T04:00:40.964-05:002023-09-10T04:00:40.964-05:00But can you really trust those videos?
:-DBut can you really trust <a href="https://www.youtube.com/watch?v=2rjbtsX7twc" rel="nofollow">those videos</a>?<br />:-D<br /><br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-75582837915630229862023-09-07T14:03:43.443-05:002023-09-07T14:03:43.443-05:00'Learning' is intrinsically a nonlinear pr...'Learning' is intrinsically a nonlinear problem and is by definition without a predefined objective and/or outcome (despite the pedagogical fervor to 'improve learning outcomes').<br />A book allows me to quickly jump back and forth skip ahead to return back later, etc; this experience is irreplaceable.<br />Anything electronic adds a huge amount of distraction for most people, especially more so for children and young adults. space2001https://en.wikipedia.org/wiki/2001:_A_Space_Odysseynoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-49654916087768540412023-09-07T12:43:48.490-05:002023-09-07T12:43:48.490-05:00I think this niche is better filled than ever, but...I think this niche is better filled than ever, but not by books but by youtube videos. Numberphile and 3blue1brown's videos are amazing for this purpose, hell even on non-math focused channels like Veritasium, the math videos are pretty good, and are getting millions (!!) of views.Anonymousnoreply@blogger.com