/sci/ - Science & Math

bumping for /math/

Oh come on /sci/!

I want to learn about generating functions, stirling numbers and the möbius function from a good textbook.

Where my maths people at?

Find an English translation of Gauss' Disquisitiones Arithmeticae if you want some good ol' number theory. If you want the Mobius function (which is far more important in the study of analytic number theory, not combinatorics), I would check out Apostol's Introduction to Analytic Number Theory. For straight combinatorics, a good book might be Peter Cameron's Combinatorics.

Do you really understand the Mobius function? {-1, 0, 1} is not an arbitrary codomain to encode square-free-ness; for a complex $s$ with $Re[s]>1$, the Mobius function is generated by

$$\sum_{n=1}^{\infty} \frac{\mu(n)}{n^s} = \frac{1}{\zeta(s)}$$

>>6904869
>Peter Cameron's Combinatorics

Checked it out, It includes very little on generating functions. How do I into generating functions?

>>6905709
bumping for justice

>>6905709
generatingfunctionology

>>6906247
This, or "A=B" by Wilf. I both are good reads.

>>6906247
>generatingfunctionology

Much appreciated! Was even more delighted because I expected a troll, but it turned out to be a good book.

>>6906876
Thank you too man.