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Old 2020-11-13, 14:07   #19
Dr Sardonicus
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Feb 2017

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Originally Posted by Nick View Post
Algebraic Number Theory can legitimately be thought of as both the algebraic branch of number theory and the theory of algebraic numbers.
One time a grad school classmate referred to Analytic Number Theory as "the theory of analytic numbers." Oops.

Of course, the title Basic Number Theory was somewhat in jest -- it is "basic" in the sense that it covers the basics of Class Field Theory. But it is definitely not an introductory text.

I don't know whether Weil ever became exasperated with the jokes about the book title, but it is a fact that 12 years later, he came out with another book called Number Theory for Beginners.

Reminds me, my third grade math class was really hard! The textbook was A Course in Arithmetic by Jean-Pierre Serre...
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