Introductory number theory textbook

  • Thread starter battousai
  • Start date
  • #1
86
0

Main Question or Discussion Point

What is a good introductory textbook for beginners?
 

Answers and Replies

  • #2
261
1
If you want a real basic, survey type of book (say for non-math majors) then Id recommend Friedbergs "An Adventurers Guide to Number Theory." Its light reading but its not fluff and it'll give you a bit of a taste of what number theory is about.

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.
 
  • #3
86
0
I'm looking for the 2nd type of book (for math majors).
 
  • #4
xristy
Gold Member
116
2
Three to consider are:

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
261
1
I'm looking for the 2nd type of book (for math majors).
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 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.
 
  • #6
mathwonk
Science Advisor
Homework Helper
10,961
1,136
the number theorists in my department often recommended van den eynden as a beginning book. as a more advanced book i always liked that by trygve nagell.
 

Related Threads on Introductory number theory textbook

Replies
4
Views
1K
Replies
10
Views
1K
  • Last Post
Replies
4
Views
3K
Replies
5
Views
1K
  • Last Post
Replies
10
Views
8K
  • Last Post
Replies
10
Views
5K
Replies
4
Views
1K
Replies
1
Views
2K
Replies
10
Views
4K
Top