How Can You Prove Famous Mathematical Equations?

  • Thread starter Thread starter Dafe
  • Start date Start date
  • Tags Tags
    Proof
Dafe
Messages
144
Reaction score
0
Proof of "famous" equations.

Hey, I'm wondering if there is a good resource with proofs of famous equations just like the title says :)

Thanks
 
Mathematics news on Phys.org
What do you consider "famous" equations?
 
I quess the same ones as you do.
 
IMHO, Wikipedia is a great source because it gives you what you need to get to certain equations, but doesn't give you the steps in between--you can prove them yourself. I feel Wiki is accurate enough for math, maybe not for other subjects.
 
How about "God created the Integers" by Stephen Hawking (2007):

"Looks at landmark mathematical discoveries over the past 2,500 years by such mathematicians as Euclid, Isaac Newton, Pierre Simon de Laplace, Georg Cantor, Alan Turing, and others, offering profiles of twenty-one important mathematical masters, facsimiles of their key works, and commentary on their contributions to the history of mathematics."
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

2
Replies
91
Views
6K
Replies
6
Views
2K
Replies
13
Views
2K
Replies
8
Views
2K
Replies
4
Views
1K
Replies
12
Views
2K
Replies
6
Views
1K
Replies
16
Views
3K
Replies
5
Views
2K
Replies
4
Views
2K
Back
Top