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A funny artifact of complex analysis.\[\sum_{k=1}^nk=\frac{n(n+1)}2\]Which naturally goes to infinity, but via zeta function summation and Ramanujan sums, you get a value of \(\frac1{12}\).
 one year ago
 one year ago
A funny artifact of complex analysis.\[\sum_{k=1}^nk=\frac{n(n+1)}2\]Which naturally goes to infinity, but via zeta function summation and Ramanujan sums, you get a value of \(\frac1{12}\).
 one year ago
 one year ago

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badreferencesBest ResponseYou've already chosen the best response.2
http://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%80%A6#Summability
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.0
1+2+3+4+...=1/12 So that is TRUE?
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
That's what Euler thought. :) http://en.wikipedia.org/wiki/Zeta_function_regularization#Definition
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
http://plato.stanford.edu/entries/goedel/#IncThe Math is funny.
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.0
So, at infinity number starts to act differently?
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
pretty soon I need to work on these things.
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
My condolences, haha. Unless you enjoy particle physics. If you do, ignore me.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
No I enjoy mathematical physics.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
you math major @badreferences ?
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
I'm looking to do statistical physics in graduate school.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
so you are also physics major!! didn't know that!!
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
I was looking for solution for "Topics in Algebra" by IN Herstein.
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
Algebra is not my strong suit. I went for the analysis and stochastics route in undergraduate.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
my undergrad was mess!! still i need to do few things in math before tackle physics. It seems i still lack strong mathematical background for tackling physics.
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
If I can recommend two introductory texts at graduate level, "All of Statistics" ( http://www.amazon.com/AllStatisticsStatisticalInferenceSpringer/dp/0387402721 ) and "Mathematics: Its Content, Methods and Meaning" ( http://www.amazon.com/MathematicsContentMethodsMeaningDover/dp/0486409163/ref=sr_1_1?s=books&ie=UTF8&qid=1349543762&sr=11&keywords=mathematics+its+content+methods+and+meaning ). They should provide sufficient math background, I think. But I'm no expert on the subject.
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
Shhh... I have illegal electronic copies.
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
And the real things as well, so I don't feel to bad. haha.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
haha ... no probs!! i also own illegal electronic books!! I didn't take stat seriously ... I need to revise statistics and numerical analysis again.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
I need to revise whole physics i read in first year. But I've math exam first. Analysis II and Algebra II I have Tom Aposle's Mathematical analysis for Analysis .. everytime i try to read it ... i feels like reading "War and Peace"
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
Same goes for Algebra, I have Linear Algebra by Serge Lang and Topics in algebra by IN Herstein ... but undergraduate level. But I'm doing Linear Algebra from MIT OCW.
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
Hmm, the best analysis texts are Spivak's "Calculus" and "Calculus of Manifolds".
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
I don't know about linear algebra. The best review of physics I can think of are Feynman's lectures and Dirac's books.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
Looks like I need to hunt down those books!!
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
Wait a second. And hush, don't tell anyone. I'll post them here.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
thanks @badreferences for goodreferences
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.0
Then what is: 1*2*3*4*5...
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
lol ... that diverges. same goes from 1 + 2 + 3 + ... but if you view it as generating function of 1/(1+x)^2 = 1 + 2x + 3x^2 + ... it seems to converge ... there was some Question posten my mikael on this.
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.0
Ya....... I remember it.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
I haven't encountered Riemann zeta function on my studies except for finding the particular values line zeta(2), zeta(4) while integrating some functions. I think it's better to go step by step on this.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
things aren't much intuitive ... there seems to lots of odd behaviours with this function which i don't understand. If you explain it ... probably you will be greatest mathematician of this time http://en.wikipedia.org/wiki/Millennium_Prize_Problems
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
probably long way through analysis and algebra just to understand these stuff.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
Woops!! @mahmit2012 is here ...
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
where do i start with Riemann zeta function?
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.0
it is very simple because the series is divergence.
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.0
dw:1349545376509:dw
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.0
dw:1349545461704:dw
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.0
So you can play with a some young student and it is interesting for them and wondered !!
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
Okay, so the upload of the books failed haha. Are there any free file sharers?
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
looks like there are couple of file sharing sites ... http://www.2shared.com/
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
I got it. I'll be right back, need to restart computer. I'll be using Senduit.
 one year ago

estudierBest ResponseYou've already chosen the best response.0
I think we can safely conclude that complex analysis is a funny artiact:)
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
there seem to lot's of things I'm missing in complex analysis.
 one year ago

estudierBest ResponseYou've already chosen the best response.0
I'm sure you will get over it.....
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
Uploading the books in a zip archive... taking a while, since it's ~45MB.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
thanks!! both for effort and books!!
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
The file should be called AN.7z.
 one year ago

badreferencesBest ResponseYou've already chosen the best response.2
You can extract using 7zip.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
Thanks!! I got it!!
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.0
Well, I am tired of thinking........ Gud Night...... Out of my level.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
I was about to click Apply then OK
 one year ago
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