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The most beautiful formulae in maths & science

  1. Mar 5, 2008 #1
    I just though i'd make up a list of a few of the really beautiful formulas in mathematics.

    One in my list is:

    [tex]
    e^{i\pi} + 1 = 0
    [/tex]

    and definately, the Pythagoras theorem... as for physics.. the energy-mass equivalence is another beautiful formula:

    [tex]
    E = mc^{2}
    [/tex]

    and.. the Bohr's formula for quantized angular momentum:

    [tex]
    L = \frac{nh}{2\pi}
    [/tex]

    I also think that the Dirac equation is a beautiful result as it predicted the existence of a positron before it's actual discovery..

    any others u can think of??
     
  2. jcsd
  3. Mar 5, 2008 #2

    robphy

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  4. Mar 5, 2008 #3

    lisab

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    You already have my favorite- Euler's.

    There's a lot of ugly ones, too :wink: .
     
  5. Mar 5, 2008 #4
    No object is so beautiful that, under certain conditions, it will not look ugly. - Oscar Wilde.

    [​IMG]
     
  6. Mar 5, 2008 #5

    lisab

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    :rofl:
     
  7. Mar 5, 2008 #6

    George Jones

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    There's a sign mistake for the term a third of the way through the line that's a quarter of the way down.

    Dark matter found!
     
  8. Mar 5, 2008 #7

    lisab

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    "...sans gravity..."!

    Well duh...wouldn't want to complicate it! :rofl:
     
  9. Mar 5, 2008 #8
    A formula doesn't strike beautiful, an idea does though.
     
  10. Mar 5, 2008 #9
    What book is that from? You've got me interested now.
     
  11. Mar 5, 2008 #10

    Mk

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    Probably a joke, note the "Excercise #1.1.1.1.1.1.a"
     
  12. Mar 5, 2008 #11

    robphy

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  13. Mar 5, 2008 #12

    Kurdt

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    The Schrödinger equation is pretty nice.
     
  14. Mar 5, 2008 #13
    For sheer actual physical good looks, and usefulness I'd say the Laplacian looks quite nice.

    [tex]\displaystyle \Delta = \frac{\partial^2 f}{\partial x^2} + \frac{\partial^2 f}{\partial y^2} + \frac{\partial^2 f}{\partial z^2}[/tex]
     
  15. Mar 5, 2008 #14
    Well, if I were a genius indian mathematician I'd say [tex]\sum_{n=1}^{\infty }n=-\frac{1}{12}[/tex]
     
  16. Mar 5, 2008 #15
    Maybe my eyes are just bad, but that isn't an equation, it is meaningless.


    one of my favs.-

    [​IMG]
     
    Last edited: Mar 5, 2008
  17. Mar 5, 2008 #16

    Pythagorean

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    shouldn't it be turned around, squared, and acting on something on the left side?
     
  18. Mar 5, 2008 #17
    This one also helped the US win WWII and also has been called one of the most important advances in science in the 20th centurty

    N2 + 3H2---------> 2NH3 (Fe/K2O/Al2O3/250 atm/500 C)
     
  19. Mar 5, 2008 #18
    I've always been partial to the Leibnitz formula for pi:

    [tex]\huge \mathbf{\pi} = 4 \sum_{n=0}^\infty \frac{(-1)^n}{2n + 1}[/tex]​
     
  20. Mar 5, 2008 #19
    :rofl:
    They were telling the same to Fourier.

    Probably one of the most important and beautiful mathematical object is the Riemann zeta function.
    Since you like to copy equations from wikipedia, maybe you can check it out for real from time to time. It is instructive.

    EDIT BTW, I was refering to Ramanujan who was maybe one of the most prolific for genuinely beautiful formulae
     
    Last edited: Mar 5, 2008
  21. Mar 5, 2008 #20
    No, I said it because what was posted did not contain any equal sign, and hence it is impossible for it to be an equation. At least the riemann zeta function has an equal sign.
     
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