100 Greatest Theorems of All Time

[jason_t]

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Notable omissions:
The Riesz Representation Theorem
The Lax-Milgram Theorem
Poincare-Freidrich Inequality
Sobolev Embedding Theorem


And yes, I am biased. At least Green's Theorem and Brouwer's Fixed Point Theorem made the list, though Brouwer's should be higher than 36.

BTW, the FTC should be #1.

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You study partial differential equations?

[Rotating Rabbit]

I think FTOA should be #1, you cant do anything in maths without it.

[fishsauce]

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You study partial differential equations?

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Yes, mainly the numerical simulation of pdes. My MS work was in algebra and finite fields (what was I thinking?), but I am now in numerical analysis.

The list is ok, but is obviously heavily biased towards number theory. Apart from what's mentioned above, some other glaring omissions are: Atiyah-Singer's index theorem, Riemann-Roch's theorem, the classification of simple groups, Cauchy's integral formula, the Perron method for solving elliptic partial differential equations, the uniformization theorem, etc, etc.

Also, some of the things that are listed are rather silly, like #14 (evaluation of zeta(2)), #26 (Leibniz' basically useless formula for pi), #97 (Cramer's rule), just to mention a few.

[jason_t]

[ QUOTE ]
The list is ok, but is obviously heavily biased towards number theory. Apart from what's mentioned above, some other glaring omissions are: Atiyah-Singer's index theorem, Riemann-Roch's theorem, the classification of simple groups, Cauchy's integral formula, the Perron method for solving elliptic partial differential equations, the uniformization theorem, etc, etc.

Also, some of the things that are listed are rather silly, like #14 (evaluation of zeta(2)), #26 (Leibniz' basically useless formula for pi), #97 (Cramer's rule), just to mention a few.

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Cauchy's integral formula: [img]/images/graemlins/heart.gif[/img].