Suggest me a book
Suggest me a book
Which books would you prefer if i want to learn about number theory, factoring, different methods of finding primes and a great book on maths?

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Re: Suggest me a book
Not number theory but if you want a great book, you can start with 'Analytic Combinatorics' by Sedgwick and Flajolet. It is a very nice read on Combinatorics and will also help in solving numerous PE problems directly or using the ideas on the book.
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Re: Suggest me a book
Thanks
Last edited by S_r on Fri Sep 08, 2017 11:13 am, edited 1 time in total.
Re: Suggest me a book
Anything on number theory? Which branch do you like?
Re: Suggest me a book
Googling on "books numbertheory" gave this discussion:
https://math.stackexchange.com/question ... bertheory
Loads of people suggest a book there. You can find your book there, I suppose.
https://math.stackexchange.com/question ... bertheory
Loads of people suggest a book there. You can find your book there, I suppose.
Re: Suggest me a book
You might like "Concrete Mathematics" By Knuth and Patashnik, or "An Introduction to the Theory of Numbers" by Niven, Zuckerman, and Montgomery. Both are pretty cheap, especially for textbooks. I believe my copy of "An Introduction to the Theory of Numbers" was 15 USD.
Re: Suggest me a book
My "go to" book is "Elementary Number Theory" by David M. Burton. I don't even know where I got it from but the main thing I like about it is that the mathematical detail is interspersed with interesting historical details.
Both "Prime Numbers: A Computational Perspective", Pomerance & Crandall, and "A Course in Computational Algebraic Number Theory", Henri Cohen, are more technical but at the same time more focused on algorithms.
Both "Prime Numbers: A Computational Perspective", Pomerance & Crandall, and "A Course in Computational Algebraic Number Theory", Henri Cohen, are more technical but at the same time more focused on algorithms.
level = lambda number_solved: number_solved // 25
Re: Suggest me a book
Albert H Beiler "Recreations in the Theory of Numbers" is an interesting one. It belongs to the very end of the handcomputation era, just as computers were starting to take over. The methods he describes are very different to the ones you'd use now. That's what made it fascinating for me. It's a lost tradition.
 kenbrooker
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Re: Suggest me a book
For elementary number theory, and with used offerings as cheap as $6.25 @ Amazon.com,
consider The Book of Numbers by John Conway (Mr Fractran, as per PE Problem #308 : )
consider The Book of Numbers by John Conway (Mr Fractran, as per PE Problem #308 : )
"Good Judgment comes from Experience;
Experience comes from Bad Judgment..."
Experience comes from Bad Judgment..."
Re: Suggest me a book
thanks for your suggestions. I already have Elementary Number Theory and i found it as interesting. I will check the other ones also.yourmaths wrote: ↑Tue Sep 11, 2018 10:31 amMy "go to" book is "Elementary Number Theory" by David M. Burton. I don't even know where I got it from but the main thing I like about it is that the mathematical detail is interspersed with interesting historical details.
Both "Prime Numbers: A Computational Perspective", Pomerance & Crandall, and "A Course in Computational Algebraic Number Theory", Henri Cohen, are more technical but at the same time more focused on algorithms.
Re: Suggest me a book
I have looked at a few of the Elementary Number Theory books available at LibGen. For some like me, just starting out on Number Theory, Burton's 7th edition is a great introduction. I have worked through the first two chapters. I would definitely recommend it to any PE enthusiast. It would have been so much more fun if I had started with PE and Burton at the same time.
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