Number Theory Concise Introduction Book to Number Theory?

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The discussion centers on seeking introductory resources in number theory before delving into analytic number theory. A participant expresses the need for concise books that cover basic number theory concepts, as their upcoming research will heavily involve analytic number theory. Recommendations include "A Classical Introduction to Modern Number Theory" by K. Ireland and M. Rosen, although it is noted that this book may not meet the request for brevity. Another suggestion is "Elementary Number Theory and Its Application" by Kenneth Rosen, which is described as a simple yet useful reference for foundational topics in number theory. The focus remains on finding accessible materials to build a solid understanding before tackling more advanced texts.
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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