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 2 years 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 \(\frac1{12}\).
 2 years 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 \(\frac1{12}\).

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

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.01+2+3+4+...=1/12 So that is TRUE?

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

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

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

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

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

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

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

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

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

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

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

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0my 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.

badreferences
 2 years ago
Best ResponseYou've already chosen the best response.2If 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.

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

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

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

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0I 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"

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0Same 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.

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

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

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

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

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

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

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0lol ... 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.

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

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0I 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.

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0things 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

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

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

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

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

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

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

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.0So you can play with a some young student and it is interesting for them and wondered !!

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

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

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

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

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

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

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

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

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

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

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

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

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