Recently I bought a "so called" intro book on number theory "Elementary number theory by burton" after reading some online recommendations to self learn number theory; but it is too much dry for a beginner like me and it feels like the author already assuming that reader is expert in algebra, proofs, combinatorics, math induction etc.. which I am not, if i was, why would I want an introductory number theory book. It is not about what material is in this book but HOW it is explained, it is intentionally written that way. anyways, is there any book that would be easy to read and has in depth and detailed explanations, step by step and goes slow in progress, some visual example would be very helpful but not necessary, should not be a typical coffee table book either but an standard text with easiest examples. I am not an student neither am in that age or mind, I just developed interest in number theory after reading "Journey through genius". it was very interesting book though.
Thanks.
I read a lot of Silverman's A Friendly Introduction to Number Theory and enjoyed it quite a bit. It's written in a down to earth style, and was actually intended to sort of woo non-math majors.
Recently I became aware that Rosenlicht wrote a book with Andre Weil entitled A Beginner's Guide to Number Theory. It's based on a series of lectures by the latter at the university of Chicago. I have high hopes for it, based on the fact that I'm familiar with Rosenlicht's work, and even took one of his classes.
I have heard good things about Baker's book. He won a Field's medal.
I haven't seen Davenport' s Higher Arithmetic, but love the title.
Do remember that any book at all will tend to assume a certain amount of mathematical maturity.
I am currently reading Vinogradov's Elements of Number Theory, and find there are not many prerequisites. It's nicely written, and includes various exercises with solutions.