Undergraduate/High-School-Olympiad Level Introductory Number Theory Books For Self-Learning
My favored primary number theory publication is the one I released with Springer : http://wstein.org/ent/ This isn't an entirely immoral plug, due to the fact that I was simply permitted to release the PDF variation legitimately absolutely free (readily available at the above URL), which the initial poster could value.
There is a checklist at http://www.imomath.com/index.php?options=mbb|knjige&p=0. There is additionally guide Problems of number theory in mathematical competitions.
Davenport's The Higher Arithmetic was my first number theory publication. I assume its actual obtainable to a senior high school pupil or starting undergraduate pupil. It's fairly brief and also really promptly legible. If you locate this therapy also casual, Niven and also Zuckerman's an Introduction to the Theory of Numbers is a typical message that I assume is a quite possibly created undergraduate message, yet this has actually currently been stated.
There are numerous primary number theory books which you can make use of and also which do not think a degree of expertise past senior high school mathematics. I would highly advise Underwood Dudley's Elementary Number Theory and also Harold Stark's An Introduction to Number Theory.
They're both perfectly created and also cover a lot of things that are generally covered in any kind of initial number theory training course (at a standard degree certainly). Several of the various other books that have actually currently been recommended are excelent.
Specifically Katie Banks' pointer of Ireland and also Rosen, although this publication makes some use the language of teams, rings and also areas, so it might be advanced for a senior high school pupil.