I might, rabbit, I might.
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 01:49 (ten years ago) link
Yes, please.
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 01:52 (ten years ago) link
send me yo email, can't attach a pdf to ilxmail
― flopson, Tuesday, 3 December 2013 01:53 (ten years ago) link
nm here u go http://www.scribd.com/doc/188781630/2321982
― flopson, Tuesday, 3 December 2013 02:17 (ten years ago) link
Thanks. Just found it here too: http://www.dartmouth.edu/~matc/MathDrama/reading/Hamming.html Along with :http://www.dartmouth.edu/~matc/MathDrama/reading/Wigner.html
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 02:23 (ten years ago) link
Top level is here: http://www.dartmouth.edu/~matc/MathDrama/reading.html The Geometry in Art and Architecture link looks really nice.
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 02:28 (ten years ago) link
OK, that was well worth reading. Thanks, guys.
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 02:54 (ten years ago) link
we should do reading group some time. my greatest regret is not having taken a course in complex analysis.
― flopson, Tuesday, 3 December 2013 02:59 (ten years ago) link
Took me much longer than I would have liked to grok what was going on in that subject. btw, did you see the thing in Vanity Fair about the guy who reverse engineered device Jan Vermeer used to paint his masterpieces?
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 03:00 (ten years ago) link
like "girl with a pearl earring"?
― flopson, Tuesday, 3 December 2013 03:22 (ten years ago) link
Yes, only the one that he reproduced was The Music Lesson.
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 03:24 (ten years ago) link
I linked it on some art thread where I don't think anyone looked at it but I'll put it here too: http://www.vanityfair.com/culture/2013/11/vermeer-secret-tool-mirrors-lenses
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 03:26 (ten years ago) link
Anyway most important thing about complex variable
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 03:30 (ten years ago) link
this is the book i wanna read
http://usf.usfca.edu/vca//vca.jpg
― flopson, Tuesday, 3 December 2013 03:35 (ten years ago) link
Things:Assumption that the derivative of a function does not depend on the direction you are coming from is a pretty strong one which is why analytic functions have so many things you can say about them.
Function log z can't be defined without branch cut and related fact that integral 1/z on a loop is non-zero
You spend a lot of time switching back and forth from complex variables to rectangular coordinates to polar coordinates.
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 03:37 (ten years ago) link
Have a copy somewhere. It's pretty nice, spends more time trying to generate intuition than most.
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 03:38 (ten years ago) link
Just came across notes on branch cuts by my advisor's advisor: http://math.mit.edu/classes/18.305/Notes/n00Branch_Points_B_Cuts.pdf
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 03:46 (ten years ago) link
heh, a prof in my dept wrote a 1200 page, 2 volume book on the complex logarithm
― flopson, Tuesday, 3 December 2013 03:57 (ten years ago) link
Really? Who was that?
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 04:02 (ten years ago) link
http://ebooks.cambridge.org/content/978/05/1156/619/6/9780511566196i.jpg
― flopson, Tuesday, 3 December 2013 04:03 (ten years ago) link
they're enormous
Visual Complex Analysis is terrific (especially if you haven’t been exposed to Michael Spivak’s Calculus or “Baby Rudin”)!
― Allen (etaeoe), Tuesday, 3 December 2013 16:28 (ten years ago) link
Book club?
― Skatalite of Dub (James Redd and the Blecchs), Tuesday, 3 December 2013 16:37 (ten years ago) link
http://www.madore.org/~david/math/hyperbolic-maze.html
― flopson, Tuesday, 3 December 2013 18:22 (ten years ago) link
super down for a book club. would have to start after finals tho
I’d participate!
I started reading the recently published Computability: Turing, Gödel, Church and Beyond edited by Copeland, Posy, and Shagrir. It’s a servant of all. But so far, so good. Especially enjoyed Martin Davis’ essay, “Computability and Arithmetic.” It explores Hilary Putnam and Yuri Matiyasevich’s work on Hilbert’s tenth in a comprehensible way.
Good luck!
― Allen (etaeoe), Tuesday, 3 December 2013 18:59 (ten years ago) link
by servant of all you mean written for a too-general audience?
― flopson, Tuesday, 3 December 2013 19:00 (ten years ago) link
and thanks!
― flopson, Tuesday, 3 December 2013 19:01 (ten years ago) link
not sure how much brain i have to tackle another math topic at the moment, but i'm for a reading group as a general notion and i'd try to follow along a bit at least.
― lollercoaster of rove (s.clover), Tuesday, 3 December 2013 19:07 (ten years ago) link
i started skimming along the complex analysis stuff and not-incorrectly thought "fibration" so i'm glad i'm building some intuitions.
― lollercoaster of rove (s.clover), Tuesday, 3 December 2013 19:08 (ten years ago) link
re. that computability volume, a, uh, friend of mine has to write a review of it pretty soon, so any tips on what worked/didn't from your point of view would be appreciated (my friend hasn't started reading the book yet but the review is overdue, story of his life)
― Euler, Tuesday, 3 December 2013 19:17 (ten years ago) link
http://i.imgur.com/gxC8u1S.png
― 乒乓, Saturday, 7 December 2013 16:56 (ten years ago) link
why do they schedule exams at 9am? who can even think that early?
― flopson, Tuesday, 10 December 2013 04:10 (ten years ago) link
http://math.berkeley.edu/~wu/AMS_COE_2011.pdf
Professional development (PD) for in-service math teachers isgenerally taken to be \feel-good sessions". Some believe that itsmain goal is to give teachers encouragement and sharpen theirpedagogical skills.Others believe that teachers should be exposed to fun mathematics(such as the Konigsberg bridge problem or taxicab geometry),even in the face of their inability to deal with bread-and-butter issuessuch as how to teach fractions, why negative times negativeis positive, what similarity means, or why the parallel postulateis important.
anyone want to take a stab at 'why negative times negative is positive'? seems like a good one.
― j., Tuesday, 10 December 2013 23:29 (ten years ago) link
because negative divided by positive is negative.
― the late great, Tuesday, 10 December 2013 23:32 (ten years ago) link
i think algebraically it follows from that
"what is division?" is a good problem that i think i've raised on this board before. does 20/4 = 5 mean that if we divide 20 into 4 parts each part is 5 units large, or if we divide 20 into parts that are 4 units large we get 5 parts?
― the late great, Tuesday, 10 December 2013 23:35 (ten years ago) link
or how about this: if multiplication is defined as repeated addition, then multiplication by a negative is repeated subtraction, and subtracting a negative is obviously positive
― the late great, Tuesday, 10 December 2013 23:48 (ten years ago) link
"If any single quantity is marked either with the sign + or the sign - without affecting some other quantity, the mark will have no meaning or significance, thus if it be said that the square of -5, or the product of -5 into -5, is equal to +25, such an assertion must either signify no more than 5 times 5 is equal to 25 without any regard for the signs, or it must be mere nonsense or unintelligible jargon."
Baron Maseres otm
― Euler, Wednesday, 11 December 2013 00:07 (ten years ago) link
Use complex numbers. Rotation twice by 180 degrees is the identity
― The Glam Of That All The Way From Memphis Man! (James Redd and the Blecchs), Wednesday, 11 December 2013 00:52 (ten years ago) link
LOL imo if you're using complex numbers to justify arithmetic you've won the battle but lost the war
― the late great, Wednesday, 11 December 2013 01:17 (ten years ago) link
Well, take out the complex numbers but keep the argument.
― The Glam Of That All The Way From Memphis Man! (James Redd and the Blecchs), Wednesday, 11 December 2013 01:20 (ten years ago) link
― the late great, 11. december 2013 00:48 (1 hour ago) Bookmark Flag Post Permalink
This isn't logical, right? Surely -5 - -5 5 times is +20?
― Frederik B, Wednesday, 11 December 2013 01:34 (ten years ago) link
that's because what you just described is -5 - (-5) - (-5) - (-5) - (-5) - (-5), no?
― the late great, Wednesday, 11 December 2013 01:46 (ten years ago) link
should i say subtracting a negative is the same as adding?
― the late great, Wednesday, 11 December 2013 01:47 (ten years ago) link
tbh i don't completely understand the objection frederick
― the late great, Wednesday, 11 December 2013 01:49 (ten years ago) link
Seems there are plenty of ways a mathematician could convince himself of why it has to be but not clear what is the most obvious common sense explanation for the layperson.
― The Glam Of That All The Way From Memphis Man! (James Redd and the Blecchs), Wednesday, 11 December 2013 01:54 (ten years ago) link
Actually I might have an idea. But there is not enough room to write it in the margin of this thread.
― The Glam Of That All The Way From Memphis Man! (James Redd and the Blecchs), Wednesday, 11 December 2013 02:12 (ten years ago) link
Oh, I get it. You're right. My fault.
― Frederik B, Wednesday, 11 December 2013 02:14 (ten years ago) link
you can just do basic arithmetic on the integers as an additive group, just teach your kids group theory ;-)
― flopson, Wednesday, 11 December 2013 02:19 (ten years ago) link
for division i guess you either need a euclidean ring or a fullblown division ring, in which case division is just multiplication by inverses
― flopson, Wednesday, 11 December 2013 02:23 (ten years ago) link