Recommendation for textbook on number theory

  • Thread starter dpackard
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  • #1
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So I'm in a number theory course this semester but we aren't using a textbook (the professor gave the explanation that they'd never found a textbook that does exactly what they wanted or something, but it seems from my investigations that our course follows a pretty standard introduction).

Anyway, I have a test coming up this week, and I think I'd like to find a good textbook to help me prepare. This is the second test, and after not performing as well on the first test as I would have liked, I believe reading something else would help. My notes are too disorganized to be of real use besides helping me remember concepts, and I obviously cannot write down detailed explanations of the "whys", only copy down the "hows." So if you know of a good book for this purpose, I would really appreciate any recommendations.
 

Answers and Replies

  • #2
morphism
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It would help if you listed the topics your course is covering!
 
  • #3
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sorry! we've covered divisions, GCD, modular arithmetic, fermat's little theorem, fermat and mersenne primes, euler's phi function, and orders so far.
 
  • #4
morphism
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Try Elementary Number Theory by Jones & Jones.
 
  • #5
MathematicalPhysicist
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well, if I'm not mistaken the classic is by rosen and ireland.
 
  • #6
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The rosen and ireland one seems to be a "graduate text," would you still recommend it?
 
  • #7
JasonRox
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I hate it when therer is no textbook, especially when there exists a million out there for number theory.
 
  • #9
CRGreathouse
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Rosen & Ireland is hard. If you can follow it, you'll be well-prepared... but you might be better served by a more accessible book. I keep mine on a shelf and consult it when needed.
 
  • #10
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I would strongly recommend Elements of the Theory of Numbers by Dence. It is a very accessible and up to date introduction to the subject, covering all of the subjects you listed in addition to more advanced subjects suitable for a second course in number theory. Or, you could just search for "number theory ebook" or "number theory torrent" on google and download a plethora of books from which you have your choice.
 

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