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## Main Question or Discussion Point

What is a good introductory textbook for beginners?

- Thread starter battousai
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What is a good introductory textbook for beginners?

- #2

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If you want a beginner's book thats more rigorous (say for sophomore/junior level math major) Underwood Dudley's Elementary Number Theory is a great place to START.

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I'm looking for the 2nd type of book (for math majors).

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xristy

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Apostol - Introduction to Analytic Number Theory -- the analytic side of numbers

Rosen - Elementary Number Theory and Its Applications -- basic ideas and relations

Stillwell - Number Theory -- some feel for the algebraic aspects

There's also the classic:

Hardy and Wright - Introduction to the Theory of Numbers 4th ed -- older more toward analytic aspects

- #5

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I would say then the Dudley book is most approachable, especially for self study. Its a Dover book, so it can be had for cheap.I'm looking for the 2nd type of book (for math majors).

I took number theory as an undergrad over the summer and we used an absolutely horrendous book (but at least is was free: http://www.shoup.net/ntb/ ) and I had the Dudley book the whole time, but never bothered to read it for the better part of the session until the last couple of weeks when, I then realized that I would have gotten much much more out of my course had I used that book for the bulk of my studying. Everything that I was left in a fog with was immediately cleared up by the Dudley book. Plenty of exercises, answers to exercises, etc.

I think its worth picking up, even if after reading some of it, you feel its not rigorous enough (I don't feel that way, I think its perfect for a first intro to the subject) and you need a more challenging book, at least you'll get your feet wet and wont spend much cash to do it.

Personally, I would love to learn more and might move on to some of the books suggested by xristy. Im personally looking at picking up Apostol's book.

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mathwonk

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