anonymous
  • anonymous
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 \(-\frac1{12}\).
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
http://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%80%A6#Summability
anonymous
  • anonymous
1+2+3+4+...=-1/12 So that is TRUE?
anonymous
  • anonymous
That's what Euler thought. :) http://en.wikipedia.org/wiki/Zeta_function_regularization#Definition

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anonymous
  • anonymous
http://plato.stanford.edu/entries/goedel/#IncThe Math is funny.
anonymous
  • anonymous
So, at infinity number starts to act differently?
experimentX
  • experimentX
pretty soon I need to work on these things.
anonymous
  • anonymous
My condolences, haha. Unless you enjoy particle physics. If you do, ignore me.
experimentX
  • experimentX
No I enjoy mathematical physics.
experimentX
  • experimentX
you math major @badreferences ?
anonymous
  • anonymous
I'm looking to do statistical physics in graduate school.
experimentX
  • experimentX
so you are also physics major!! didn't know that!!
anonymous
  • anonymous
:D
experimentX
  • experimentX
I was looking for solution for "Topics in Algebra" by IN Herstein.
anonymous
  • anonymous
Algebra is not my strong suit. I went for the analysis and stochastics route in undergraduate.
experimentX
  • experimentX
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.
anonymous
  • anonymous
If I can recommend two introductory texts at graduate level, "All of Statistics" ( http://www.amazon.com/All-Statistics-Statistical-Inference-Springer/dp/0387402721 ) and "Mathematics: Its Content, Methods and Meaning" ( http://www.amazon.com/Mathematics-Content-Methods-Meaning-Dover/dp/0486409163/ref=sr_1_1?s=books&ie=UTF8&qid=1349543762&sr=1-1&keywords=mathematics+its+content+methods+and+meaning ). They should provide sufficient math background, I think. But I'm no expert on the subject.
anonymous
  • anonymous
Shhh... I have illegal electronic copies.
anonymous
  • anonymous
And the real things as well, so I don't feel to bad. haha.
experimentX
  • experimentX
haha ... no probs!! i also own illegal electronic books!! I didn't take stat seriously ... I need to revise statistics and numerical analysis again.
experimentX
  • experimentX
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"
experimentX
  • experimentX
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.
anonymous
  • anonymous
Hmm, the best analysis texts are Spivak's "Calculus" and "Calculus of Manifolds".
anonymous
  • anonymous
I don't know about linear algebra. The best review of physics I can think of are Feynman's lectures and Dirac's books.
experimentX
  • experimentX
Looks like I need to hunt down those books!!
anonymous
  • anonymous
Wait a second. And hush, don't tell anyone. I'll post them here.
experimentX
  • experimentX
thanks @badreferences for goodreferences
anonymous
  • anonymous
Then what is: 1*2*3*4*5...
experimentX
  • experimentX
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.
anonymous
  • anonymous
Ya....... I remember it.
experimentX
  • experimentX
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.
experimentX
  • experimentX
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
experimentX
  • experimentX
probably long way through analysis and algebra just to understand these stuff.
experimentX
  • experimentX
Woops!! @mahmit2012 is here ...
anonymous
  • anonymous
hello everybody.
experimentX
  • experimentX
hello
experimentX
  • experimentX
where do i start with Riemann zeta function?
anonymous
  • anonymous
it is very simple because the series is divergence.
anonymous
  • anonymous
|dw:1349545376509:dw|
anonymous
  • anonymous
|dw:1349545461704:dw|
anonymous
  • anonymous
So you can play with a some young student and it is interesting for them and wondered !!
anonymous
  • anonymous
Okay, so the upload of the books failed haha. Are there any free file sharers?
experimentX
  • experimentX
looks like there are couple of file sharing sites ... http://www.2shared.com/
anonymous
  • anonymous
I got it. I'll be right back, need to restart computer. I'll be using Senduit.
experimentX
  • experimentX
sure thank you!!
anonymous
  • anonymous
I think we can safely conclude that complex analysis is a funny artiact:)
anonymous
  • anonymous
artifact*
experimentX
  • experimentX
there seem to lot's of things I'm missing in complex analysis.
anonymous
  • anonymous
I'm sure you will get over it.....
anonymous
  • anonymous
Uploading the books in a zip archive... taking a while, since it's ~45MB.
experimentX
  • experimentX
thanks!! both for effort and books!!
anonymous
  • anonymous
http://ge.tt/7YAU01P/v/0
anonymous
  • anonymous
The file should be called AN.7z.
anonymous
  • anonymous
You can extract using 7-zip.
experimentX
  • experimentX
Thanks!! I got it!!
anonymous
  • anonymous
Well, I am tired of thinking........ Gud Night...... Out of my level.
anonymous
  • anonymous
Haha.
1 Attachment
experimentX
  • experimentX
I was about to click Apply then OK

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