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History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
16
votes
1
answer
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views
What are some of the earliest examples of analytic continuation?
I'm wondering how Riemann knew that $\zeta(z)$ could be extended to a larger domain. In particular, who was the first person to explicitly extend the domain of a complex valued function and what was …
6
votes
Old books still used
Barry Simon and Michael Reed's classic volume on Functional Analysis (1981) is my one of my favorites.
Ayoub, "An Introduction to the Analytic Theory of Numbers," (1963) is out of print but one of th …