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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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  1. badreferences Group Title
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    http://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%80%A6#Summability

    • 2 years ago
  2. sauravshakya Group Title
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    1+2+3+4+...=-1/12 So that is TRUE?

    • 2 years ago
  3. badreferences Group Title
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    That's what Euler thought. :) http://en.wikipedia.org/wiki/Zeta_function_regularization#Definition

    • 2 years ago
  4. badreferences Group Title
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    http://plato.stanford.edu/entries/goedel/#IncThe Math is funny.

    • 2 years ago
  5. sauravshakya Group Title
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    So, at infinity number starts to act differently?

    • 2 years ago
  6. experimentX Group Title
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    pretty soon I need to work on these things.

    • 2 years ago
  7. badreferences Group Title
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    My condolences, haha. Unless you enjoy particle physics. If you do, ignore me.

    • 2 years ago
  8. experimentX Group Title
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    No I enjoy mathematical physics.

    • 2 years ago
  9. experimentX Group Title
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    you math major @badreferences ?

    • 2 years ago
  10. badreferences Group Title
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    I'm looking to do statistical physics in graduate school.

    • 2 years ago
  11. experimentX Group Title
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    so you are also physics major!! didn't know that!!

    • 2 years ago
  12. badreferences Group Title
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    :D

    • 2 years ago
  13. experimentX Group Title
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    I was looking for solution for "Topics in Algebra" by IN Herstein.

    • 2 years ago
  14. badreferences Group Title
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    Algebra is not my strong suit. I went for the analysis and stochastics route in undergraduate.

    • 2 years ago
  15. experimentX Group Title
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    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
  16. badreferences Group Title
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    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.

    • 2 years ago
  17. badreferences Group Title
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    Shhh... I have illegal electronic copies.

    • 2 years ago
  18. badreferences Group Title
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    And the real things as well, so I don't feel to bad. haha.

    • 2 years ago
  19. experimentX Group Title
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    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
  20. experimentX Group Title
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    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
  21. experimentX Group Title
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    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
  22. badreferences Group Title
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    Hmm, the best analysis texts are Spivak's "Calculus" and "Calculus of Manifolds".

    • 2 years ago
  23. badreferences Group Title
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    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
  24. experimentX Group Title
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    Looks like I need to hunt down those books!!

    • 2 years ago
  25. badreferences Group Title
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    Wait a second. And hush, don't tell anyone. I'll post them here.

    • 2 years ago
  26. experimentX Group Title
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    thanks @badreferences for goodreferences

    • 2 years ago
  27. sauravshakya Group Title
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    Then what is: 1*2*3*4*5...

    • 2 years ago
  28. experimentX Group Title
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    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
  29. sauravshakya Group Title
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    Ya....... I remember it.

    • 2 years ago
  30. experimentX Group Title
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    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
  31. experimentX Group Title
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    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
  32. experimentX Group Title
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    probably long way through analysis and algebra just to understand these stuff.

    • 2 years ago
  33. experimentX Group Title
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    Woops!! @mahmit2012 is here ...

    • 2 years ago
  34. mahmit2012 Group Title
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    hello everybody.

    • 2 years ago
  35. experimentX Group Title
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    hello

    • 2 years ago
  36. experimentX Group Title
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    where do i start with Riemann zeta function?

    • 2 years ago
  37. mahmit2012 Group Title
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    it is very simple because the series is divergence.

    • 2 years ago
  38. mahmit2012 Group Title
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    |dw:1349545376509:dw|

    • 2 years ago
  39. mahmit2012 Group Title
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    |dw:1349545461704:dw|

    • 2 years ago
  40. mahmit2012 Group Title
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    So you can play with a some young student and it is interesting for them and wondered !!

    • 2 years ago
  41. badreferences Group Title
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    Okay, so the upload of the books failed haha. Are there any free file sharers?

    • 2 years ago
  42. experimentX Group Title
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    looks like there are couple of file sharing sites ... http://www.2shared.com/

    • 2 years ago
  43. badreferences Group Title
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    I got it. I'll be right back, need to restart computer. I'll be using Senduit.

    • 2 years ago
  44. experimentX Group Title
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    sure thank you!!

    • 2 years ago
  45. estudier Group Title
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    I think we can safely conclude that complex analysis is a funny artiact:)

    • 2 years ago
  46. estudier Group Title
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    artifact*

    • 2 years ago
  47. experimentX Group Title
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    there seem to lot's of things I'm missing in complex analysis.

    • 2 years ago
  48. estudier Group Title
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    I'm sure you will get over it.....

    • 2 years ago
  49. badreferences Group Title
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    Uploading the books in a zip archive... taking a while, since it's ~45MB.

    • 2 years ago
  50. experimentX Group Title
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    thanks!! both for effort and books!!

    • 2 years ago
  51. badreferences Group Title
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    http://ge.tt/7YAU01P/v/0

    • 2 years ago
  52. badreferences Group Title
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    The file should be called AN.7z.

    • 2 years ago
  53. badreferences Group Title
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    You can extract using 7-zip.

    • 2 years ago
  54. experimentX Group Title
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    Thanks!! I got it!!

    • 2 years ago
  55. sauravshakya Group Title
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    Well, I am tired of thinking........ Gud Night...... Out of my level.

    • 2 years ago
  56. badreferences Group Title
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    Haha.

    • 2 years ago
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  57. experimentX Group Title
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    I was about to click Apply then OK

    • 2 years ago
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