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suggested number theory books
Posted: Sun Dec 15, 2024 9:25 pm
by newrandomusername
Hello, I'm looking for some books to read in order to sharpen my math skills for solving these problems.
I think I sould look into number theory books such as "An Introduction To The Theory Of Numbers" by G.H. Hardy perhaps? Or should I focus on calculus books.
If anyone has some good recommendation I'll be happy to hear.
Re: suggested number theory books
Posted: Sun Dec 15, 2024 11:32 pm
by DJohn
This question might be better asked in
Number Theory , which has
this thread.
Hardy and Wright is the classic text. It doesn't matter that it's old, as the basics don't really change. It's pretty dense though - you have to read it slowly and carefully.
I'll add Tom Apostol "Introduction to Analytic Number Theory" to the list (it includes much non-analytic number theory as well). There's a lot of good material in there for solving Project-Euler-like problems.
If you enjoy calculus and want to improve your skills there, then by all means do so. I don't have any books to suggest though - I do not enjoy it.
Another area that's helpful for Project Euler problems is probability theory. There must be a huge number of introductions to that out there. I have Grimmett and Welsh "Probability: An Introduction", and found it helpful to get me started. There might be better. I have nothing to compare it to.
Re: suggested number theory books
Posted: Tue Dec 24, 2024 1:09 pm
by newrandomusername
thanks