Need a Good Introduction to Number Theory? Check Out These Proven Resources!

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SUMMARY

This discussion focuses on recommended resources for learning Number Theory, highlighting key texts such as "Hardy and Wright's An Introduction to the Theory of Numbers," "George E. Andrews' Number Theory," and "Apostol's Introduction to Analytic Number Theory." Participants emphasize the importance of proofs and exercises in these texts, with Andrews' book offering hints and answers. Additionally, "How To Prove It" by Daniel J. Velleman is suggested for understanding mathematical proofs, while Rosen's "Elementary Number Theory" is noted for its problem solutions.

PREREQUISITES
  • Basic understanding of mathematical proofs
  • Familiarity with Number Theory concepts
  • Knowledge of analytic methods in mathematics
  • Ability to navigate academic resources and bibliographies
NEXT STEPS
  • Explore "Hardy and Wright's An Introduction to the Theory of Numbers" for foundational concepts
  • Read "How To Prove It" by Daniel J. Velleman to enhance proof strategies
  • Investigate "Elementary Number Theory" by Rosen for problem-solving practice
  • Access the free proof resources available on the author's website at UNSW
USEFUL FOR

Students, educators, and enthusiasts in mathematics, particularly those interested in deepening their understanding of Number Theory and mathematical proofs.

moriheru
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Can anyone recommend a good Introduction to Numbertheory with excercises and of course proofs

Thanks for any recomendations.
 
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Nevermind...Hardy and Wright is brilliant.
 
George E. Andrews - Number Theory
Apostol - Introduction to Analytic Number Theory

These two books are great, I had not the time to finish to read them entirely yet. You'll find lot's of proof in them. I don't know if there is a solution manual for either of them but in Andrew's book you'll find a section "hint and answer" and there is a nice bibliography at the end of both books.

If you want to know more about mathematical proof in general you'll find a free good book on the website of the author: http://web.maths.unsw.edu.au/~jim/proofs.html (you have to scroll down a little bit to find the links to the pdf's...)
An other one is : Daniel J. Velleman - How To Prove It, published by Cambridge University Press.

Often they use theorems in Number theory as example in "Proof Theory". They show the different ways of proving things and depending of the problem you'll know what type of proof is adequate, how to make a strategy, etc...
 
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If you want problems with solutions, you may want to check out Rosen's Elementary Number Theory since there are solutions to the problems.
 
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Thanks all, very helpfull.
 

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