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I don't know whether the books metioned in Best ever book on Number Theory are beyond undergraduate/high-school-olympiad level.

Please recommend your favourite.

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    Depends. Hardy and Wright (at least, the portion I've read) or Niven and Zuckerman can definitely be read by a student only familiar with high school algebra. Are you asking for books that focus on math competitions?2010-08-07
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    following Akhil, if you're asking for "number theory for contest math" type material, the Art of Problem Solving books are superb. For number theory as a mathematical subject, Akhil's right that both Niven and Hardy and Wright can be read with basic background. I'd add much of Ireland and Rosen to that.2010-08-07
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    @Akhil I would like to read those introduce Number Theory as a branch of mathematics rather than as contest material. Thanks you and Katie.2010-08-07
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    @Covi: Then I'm not sure how this differs from the other question.2010-08-07
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    possible duplicate of [Best ever book on Number Theory](http://math.stackexchange.com/questions/329/best-ever-book-on-number-theory)2010-08-07
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    I'd recommend Number Theory: Structures, Examples and Problems by Titu Andreescu and Dorin Andrica, or 104 Number Theory Problems by the same authors and Zuming Feng for something more basic.2010-08-07

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