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badreferences
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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 \(\frac1{12}\).
 2 years ago
 2 years ago
badreferences Group Title
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 \(\frac1{12}\).
 2 years ago
 2 years ago

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badreferences Group TitleBest 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
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
1+2+3+4+...=1/12 So that is TRUE?
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
That's what Euler thought. :) http://en.wikipedia.org/wiki/Zeta_function_regularization#Definition
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
http://plato.stanford.edu/entries/goedel/#IncThe Math is funny.
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
So, at infinity number starts to act differently?
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
pretty soon I need to work on these things.
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
My condolences, haha. Unless you enjoy particle physics. If you do, ignore me.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
No I enjoy mathematical physics.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
you math major @badreferences ?
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
I'm looking to do statistical physics in graduate school.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
so you are also physics major!! didn't know that!!
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
I was looking for solution for "Topics in Algebra" by IN Herstein.
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
Algebra is not my strong suit. I went for the analysis and stochastics route in undergraduate.
 2 years ago

experimentX Group TitleBest 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.
 2 years ago

badreferences Group TitleBest 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.
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
Shhh... I have illegal electronic copies.
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
And the real things as well, so I don't feel to bad. haha.
 2 years ago

experimentX Group TitleBest 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.
 2 years ago

experimentX Group TitleBest 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"
 2 years ago

experimentX Group TitleBest 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.
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
Hmm, the best analysis texts are Spivak's "Calculus" and "Calculus of Manifolds".
 2 years ago

badreferences Group TitleBest 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.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
Looks like I need to hunt down those books!!
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
Wait a second. And hush, don't tell anyone. I'll post them here.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
thanks @badreferences for goodreferences
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Then what is: 1*2*3*4*5...
 2 years ago

experimentX Group TitleBest 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.
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Ya....... I remember it.
 2 years ago

experimentX Group TitleBest 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.
 2 years ago

experimentX Group TitleBest 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
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
probably long way through analysis and algebra just to understand these stuff.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
Woops!! @mahmit2012 is here ...
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.0
hello everybody.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
where do i start with Riemann zeta function?
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.0
it is very simple because the series is divergence.
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.0
dw:1349545376509:dw
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.0
dw:1349545461704:dw
 2 years ago

mahmit2012 Group TitleBest 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 !!
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
Okay, so the upload of the books failed haha. Are there any free file sharers?
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
looks like there are couple of file sharing sites ... http://www.2shared.com/
 2 years ago

badreferences Group TitleBest 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.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
sure thank you!!
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
I think we can safely conclude that complex analysis is a funny artiact:)
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
there seem to lot's of things I'm missing in complex analysis.
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
I'm sure you will get over it.....
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
Uploading the books in a zip archive... taking a while, since it's ~45MB.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
thanks!! both for effort and books!!
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
The file should be called AN.7z.
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
You can extract using 7zip.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
Thanks!! I got it!!
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Well, I am tired of thinking........ Gud Night...... Out of my level.
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.2
Haha.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
I was about to click Apply then OK
 2 years ago
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