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.
It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.
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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Re: Suggest me a book
Great books on math:
The Man Who Knew Infinity by Robert Kanigel
Gödel, Escher, Bach by Douglas Hofstadter
The Colossal Book of Mathematics by Martin Gardner
Euclid in the Rainforest by Joseph Mazur
Four Colours Suffice by Robin Wilson
What is Mathematics Really? by Reuben Hersh
Magical Mathematics by Persi Diaconis and Ron Graham
Games of Life by Karl Sigmund
Mathenauts: Tales of Mathematical Wonder edited by Rudy Rucker
The Mathematical Principles of Natural Philosophy by Isaac Newton
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The Man Who Knew Infinity by Robert Kanigel
Gödel, Escher, Bach by Douglas Hofstadter
The Colossal Book of Mathematics by Martin Gardner
Euclid in the Rainforest by Joseph Mazur
Four Colours Suffice by Robin Wilson
What is Mathematics Really? by Reuben Hersh
Magical Mathematics by Persi Diaconis and Ron Graham
Games of Life by Karl Sigmund
Mathenauts: Tales of Mathematical Wonder edited by Rudy Rucker
The Mathematical Principles of Natural Philosophy by Isaac Newton
source: essay helper online
Last edited by elissasmart on Wed Feb 06, 2019 10:51 am, edited 1 time in total.
 kenbrooker
 Posts: 129
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 Location: Oregon, USA
Re: Suggest me a book
Thanks elissasmart, and
Great books on the...
Limits of Math:
Godel's Proof by Ernest Nagel and James Newman with a new Foreword by Douglas Hofstadter 2001
A World Without Time  The Forgotten Legacy of Godel and Einstein by Palle Yourgrau 2005
When Einstein Walked with Godel  Excursions to the Edge of Thought by Jim Holt 2018
Incompleteness  The Proof and Paradox of Kurt Godel by Rebecca Goldstein 2005
ps  Not recommended: Genius At Play  The Curious Mind of John Conway
Great books on the...
Limits of Math:
Godel's Proof by Ernest Nagel and James Newman with a new Foreword by Douglas Hofstadter 2001
A World Without Time  The Forgotten Legacy of Godel and Einstein by Palle Yourgrau 2005
When Einstein Walked with Godel  Excursions to the Edge of Thought by Jim Holt 2018
Incompleteness  The Proof and Paradox of Kurt Godel by Rebecca Goldstein 2005
ps  Not recommended: Genius At Play  The Curious Mind of John Conway
Last edited by kenbrooker on Mon Jan 28, 2019 7:29 am, edited 3 times in total.
"Good Judgment comes from Experience;
Experience comes from Bad Judgment..."
Experience comes from Bad Judgment..."
 kenbrooker
 Posts: 129
 Joined: Mon Feb 19, 2018 3:05 am
 Location: Oregon, USA
Re: Suggest me a book
So happy to see my name disappear as "LAST POST"er on several topics...
Otherwise I look like a... Conversation Killer...
Otherwise I look like a... Conversation Killer...
"Good Judgment comes from Experience;
Experience comes from Bad Judgment..."
Experience comes from Bad Judgment..."