Hello, i am considering purchasing book(s) on Number Theory.
I am writing this message asking for advice and opinion on which books are good. The book should be based on Elementary Number Theory and it's subjects such as congruences, diophante equations, divisibility, factoring numbers, primative roots, continued fractions and any other related elementary stuff. I would like books with a fair number of examples and that teach in an easy to learn environment (not just giving theorems and assigning exercises).
I would like the title and author of the book and also a price range. Also any comments on stores on which I can get the books for a discounted price in the Vancouver, Canada Area would be great.
I have already evaluated several books from our local public library and also received several references to books in some of my replies.
* Elementary Number Theory and Its Applications By K.H. Rosen, Second Edition 1988 (I beleive there is a new edition out since 1993 and it is supposed to be easier to understand. Not too bad though)
* An Introduction to the Theory of Numbers By Niven and Zuckerman, Fourth Edition 1980 (Fair at times, but lacking examples)
* Number Theory and it's History (Dover) By Ore Oystein, First Edition 1948 (I have heard this is a good book, quite cheap and am currently looking at it. It is pretty good, with a good number of examples, and seems easy to learn from, although the title may be misleading a bit.)
* A Course in Computational Algebraic Number Theory By Henri Cohen, ???? (Recommened as a good book)
* A book by G. Harding was recommended to me, although I don't recall the title.
I have not read about these books, so a quick comment would be nice:
* Number Theory (Dover) By Andrews, George. 1994,
* ELEMENTARY THEORY OF NUMBERS (Dover) By LeVeque, William J.
* FACTORIZATION AND PRIMALITY TESTING (UTM) By ??? (Would like a price range for this book)
* An Adventurer's Guide to Number Theory By Friedberg, Richard, 1994
* Excursions in Number Theory (Dover) By Ogilvy, C. Stanley, 1988
* Fundamentals Of Number Theory By LeVeque, William J.. 1996
* Mathimagination Book C : Number Theory, Sets and Number Bases By Marcy, Steve and Marcy, Janis 1973
Notice that i have four dover books listed above. All four are quite cheap they all seem to cover the same material. Are there any ones i _SHOULD NOT_ buy?