Book/Books on elementary number theory

Click For Summary
SUMMARY

This discussion focuses on recommendations for books on elementary number theory suitable for individuals with limited mathematical backgrounds. The suggested titles include "Elementary Number Theory" by David M. Burton, which features concise chapters and a wealth of exercises, and "An Introduction to the Theory of Numbers" by G.H. Hardy and E.M. Wright, sixth edition, which includes advanced topics such as elliptic curves. Both books are praised for their clarity and affordability, making them ideal for beginners.

PREREQUISITES
  • Basic understanding of elementary mathematics
  • Familiarity with Euclid's division lemma
  • Knowledge of congruence modulo
  • Awareness of the Fundamental Theorem of Arithmetic
NEXT STEPS
  • Research "Elementary Number Theory" by David M. Burton for foundational concepts
  • Explore "An Introduction to the Theory of Numbers" by G.H. Hardy and E.M. Wright for advanced topics
  • Study exercises related to Euclid's division lemma and congruences
  • Investigate elliptic curves and their applications in number theory
USEFUL FOR

Students and self-learners in mathematics, educators seeking teaching resources, and anyone interested in foundational concepts of number theory.

Mastermind01
Messages
203
Reaction score
51
Hello all,

I probably should have posted this in a math forum but I don't know of any. Can anyone recommend a book/books on elementary number theory with exercises? My math background is not very strong with very little knowledge of set theory so it should be understood by me. We're covering things like Euclid's division lemma, congruence modulo, Fundamental theorem of arithmetic among others...

Thanks in advance..
 
Physics news on Phys.org
This seems exactly what you're looking for: https://www.amazon.com/dp/0486474178/?tag=pfamazon01-20 Very short chapters, but it covers plenty of material. Very, very, very good exercises. Low price. One of the best introduction books on abstract algebra out there (and yes, it covers the appropriate number theory).
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 24 ·
Replies
24
Views
5K