What Are the Best Number Theory Books for Various Levels of Expertise?

AI Thread Summary
Suggestions for number theory references include "Prime Numbers: A Computational Perspective" by Carl Pomerance, which is highly regarded. Other recommended texts are "Number Theory for Computing" by Yan, "A Computational Introduction to Number Theory and Algebra" by Shoup, and "Number Theory with Computer Applications" by Kumanduri. Additionally, a notable German reference is "Algorithmische Zahlentheorie" by Forster, though it may be harder to find. These resources cater to those with a foundational understanding of elementary number theory and algebra, offering insights into computational aspects of the field.
modnarandom
Messages
54
Reaction score
0
Does anyone have suggestions for number theory references? I'm already familiar with elementary number theory and have some algebra background, but I'm not sure what kind of number theory I'm interested in yet. Thanks!
 
Physics news on Phys.org
Prime Numbers a Computational Perspective
by Carl Pomerance

is one of the best.
 
Yan: Number Theory for Computing
Shoup: A Computational Introduction to Number Theory and Algebra
Kumanduri: Number Theory with Computer Applications
Hard to find an written in German:
Forster: Algorithmische Zahlentheorie
 

Thread 'Book recommendation after Sakurai Modern Quantum Physics'

TL;DR Summary: Book after Sakurai Modern Quantum Physics I am doing a comprehensive reading of sakurai and I have solved every problem from chapters I finished on my own, I will finish the book within 2 weeks and I want to delve into qft and other particle physics related topics, not from summaries but comprehensive books, I will start a graduate program related to cern in 3 months, I alreadily knew some qft but now I want to do it, hence do a good book with good problems in it first...
View full post »

Thread 'Collection of Free Online Physics Books and Lecture Notes (Part 2)'

This is part 2 of my thread Collection of Free Online Math Books and Lecture Notes Here, we will consider physics and mathematical methods for physics resources. Now, this is a work in progress. Please feel free comment regarding items you want to be included, or if a link is broken etc. Note: I will not post links to other collections, each link will point you to a single item. :book:📚📒 [FONT=trebuchet ms]Introductory college/university physics College Physics, Openstax...
View full post »

Similar threads

Book recommendations (abstract algebra and number theory)
Replies
5
Views
3K
Number Theory Can anyone recommend me a textbook for Number Theory (Undergraduate)?
Replies
3
Views
2K
High Energy What is the level of Aitchison & Hey's QFT books?
Replies
1
Views
3K
High Energy String Theory Books: Intro & Advanced Level | GSW, Polchinski, McMahon, Becker
Replies
3
Views
3K
Number Theory Concise Introduction Book to Number Theory?
Replies
3
Views
2K
Combinatorics/graph theory or number theory books
Replies
1
Views
3K
Number Theory Undergraduate Number Theory Book Recommendations
Replies
8
Views
3K
Other Using Michael Artin's "Algebra" for Group Theory
Replies
9
Views
5K
Quantum Looking for a good String Theory text
Replies
4
Views
2K
Number Theory What Are Some Recommended Books for Learning p-adic Numbers?
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top