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- Thread starter AdrianZ
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HallsofIvy

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(Number theory itself is a rather limited study- not nearly as much used in other forms of mathematics as abstract algebra.)

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You may be a bit too dismissive of number theory. Gauss, "inventor" of modular arithmetic, would certainly think so:

"The most beautiful theorems of higher arithmetic have this peculiarity, that they are easily discovered by induction, while on the other hand their demonstrations lie in exceeding obscurity and can be ferreted out only by very searching investigations. It is precisely this which gives to higher arithmetic the magic charm which has made it the favorite science of leading mathematicians, not to mention its inexhaustible richness, wherein it so far excels all other parts of mathematics."

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