Calculus of complex numbers textbook?

[Umbran]

Why can't you just spend your time working on Fermat's last theorem? Isn't that complex enough?

Why would one bother? Andrew Wiles already dealt with the problem.

 

[der_kluge]

Why would one bother? Andrew Wiles already dealt with the problem.

Last I checked, it's still unsolved.

 

[Impeesa]

Last I checked, it's still unsolved.

Depends on your definition. Wiles proved it, yes, but using terribly complex mathematical techniques that came into use long after Fermat's time. The jury is still out as to whether Fermat's 'marvellous proof' even exists, and if it does, what it is.

--Impeesa--

 

[Umbran]

Last I checked, it's still unsolved.

Well, it has been proven (in modern form), for about a decade:

From the Wikipedia entry on Fermat's Last Theorem:

Using sophisticated tools from algebraic geometry (in particular elliptic curves and modular forms), Galois theory and Hecke algebras, the English mathematician Andrew Wiles, from Princeton University, with help from his former student Richard Taylor, devised a proof of Fermat's last theorem that was published in 1995 in the journal Annals of Mathematics.

It is true that this prof uses methods unavailable in Fermat's time, so it isn't Fermat's proof. But then, we've never had conclusive evidence that Fermat ever had a proof.