Concise Introduction Book to Number Theory?

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Discussion Overview

The discussion revolves around recommendations for concise introductory books on number theory, specifically aimed at someone preparing to study analytic number theory. The focus is on finding accessible resources that cover the basics of number theory before delving into more advanced topics.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant seeks recommendations for brief introductory books on number theory to prepare for studying analytic number theory.
  • Another participant suggests "A Classical Introduction to Modern Number Theory" by K. Ireland and M. Rosen, although this suggestion is later challenged by the original poster.
  • A different participant recommends "Elementary Number Theory and Its Application" by Kenneth Rosen, noting that it is a simple treatment and can serve as a useful reference.

Areas of Agreement / Disagreement

There is no consensus on a single recommended book, as participants provide different suggestions and the original poster expresses dissatisfaction with one of the recommendations.

Contextual Notes

The original poster indicates a need for a basic introduction specifically tailored for someone transitioning to analytic number theory, which may not align with the suggestions provided.

bacte2013
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Dear Physics Forum advisers,

Could you recommend me some brief, introductory books on the number theory I can read for few weeks before jumping into the analytic number theory? Big part of my near-future research project will involve a lot of the analytic number theory, so it is needed to read books like Iwaniec and Davenport. Unfortunately, I am not quite familiar with the basic number theory, so I thought it would be wise to seek your recommendation. Unfortunately, my advisers learned the NT from algebraic and analytic aspects, so they are not familiar with the general introduction.
 
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"A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics)", by K.Ireland , M.Rosen.
 
Ssnow said:
"A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics)", by K.Ireland , M.Rosen.

I just took a brief look at that book, and it does not fit with my need. I just need a concise introduction to the basics of NT before reading the analytic NT>
 
If you want something really basic, you could try Elementary Number Theory and Its Application by Kenneth Rosen. The 4th edition can be had used for very little.

It's a very simple treatment, but I do still find it useful as a reference for some topics.
 
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