Finding a Book on Basic Number Theory

MC363A
Messages
16
Reaction score
0
Can anyone direct me to a good, free, book on basic number theory?
Preferably free. :biggrin: But if it isn't, it's not the end of the world.
Thanks
 
Physics news on Phys.org
There are many sets of lecture notes available freely on the web from various university lecturers. There will be errors in them, and there might not be errata sheets for them, so you're best off staying away from them.

If you can fork out cash then Baker and Le Veque have writtend very well respected introductory books. Baker's title escapes me but amazon must be able to give you a reasonably good chance of finding it, and le Veque;s is called the Fundamentals of Number Theory and was republished by Dover half a dozen years ago (my copy cost 15 pounds sterling in 1997)


update baker's is a concise introduction to the theory of numbers, 15 pounds on amazon.
a leveque (note no space between the words as mistakenly wrote above) paper back version of fundamentals of number theory is currently llsted at 6 pounds.
 
Last edited:
for your help!

Hi there! I would recommend checking out "A Friendly Introduction to Number Theory" by Joseph H. Silverman. It covers all the basic concepts and is available for free as a PDF download on the author's website. Another good option is "Elementary Number Theory" by David M. Burton, which is also available for free as a PDF on the author's website. Both of these books are highly recommended for beginners in number theory. If you're open to spending a little money, "An Introduction to the Theory of Numbers" by G. H. Hardy and E. M. Wright is a classic and highly regarded book on the subject. Happy reading!
 
I asked online questions about Proposition 2.1.1: The answer I got is the following: I have some questions about the answer I got. When the person answering says: ##1.## Is the map ##\mathfrak{q}\mapsto \mathfrak{q} A _\mathfrak{p}## from ##A\setminus \mathfrak{p}\to A_\mathfrak{p}##? But I don't understand what the author meant for the rest of the sentence in mathematical notation: ##2.## In the next statement where the author says: How is ##A\to...
The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
##\textbf{Exercise 10}:## I came across the following solution online: Questions: 1. When the author states in "that ring (not sure if he is referring to ##R## or ##R/\mathfrak{p}##, but I am guessing the later) ##x_n x_{n+1}=0## for all odd $n$ and ##x_{n+1}## is invertible, so that ##x_n=0##" 2. How does ##x_nx_{n+1}=0## implies that ##x_{n+1}## is invertible and ##x_n=0##. I mean if the quotient ring ##R/\mathfrak{p}## is an integral domain, and ##x_{n+1}## is invertible then...

Similar threads

Replies
5
Views
3K
Replies
1
Views
2K
Replies
2
Views
2K
Replies
0
Views
827
Replies
5
Views
2K
Replies
8
Views
3K
Replies
3
Views
1K
Back
Top