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

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Discussion Overview

The discussion centers on recommendations for introductory resources in number theory, focusing on books that include exercises and proofs. Participants share their experiences and opinions on various texts suitable for learning the subject.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant seeks recommendations for a good introduction to number theory that includes exercises and proofs.
  • Another participant questions the quality of a specific book available on Amazon.
  • A different participant expresses a strong opinion that "Hardy and Wright" is an excellent resource.
  • Several books are suggested, including "George E. Andrews - Number Theory" and "Apostol - Introduction to Analytic Number Theory," with notes on their content and availability of solutions.
  • It is mentioned that "Rosen's Elementary Number Theory" includes problems with solutions, which may be beneficial for learners.
  • A participant provides a link to a free resource on mathematical proofs, suggesting it may complement the study of number theory.

Areas of Agreement / Disagreement

Participants share various recommendations, but there is no consensus on a single best resource. Multiple competing views on the quality and suitability of different texts remain present.

Contextual Notes

Some participants note the lack of solution manuals for certain recommended books and the varying depth of coverage in the suggested texts.

Who May Find This Useful

Individuals interested in learning number theory, particularly those looking for resources that include exercises and 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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