Good self-teaching book for elementary and advanced number theory?

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Discussion Overview

The discussion centers around recommendations for self-teaching books in number theory, addressing both elementary and advanced topics. Participants share their experiences and preferences for learning materials suitable for someone with a background in mathematics, particularly focusing on accessibility and the inclusion of answers to exercises.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses a desire for book recommendations in number theory, emphasizing the need for inexpensive options that include answers to some exercises.
  • Another participant suggests "Introduction to the Theory of Numbers" by Hardy and Wright as a classic text, noting its availability in university libraries despite its cost.
  • A third participant agrees on the value of Hardy and Wright as a second text and mentions the availability of exercises but is uncertain about the presence of solutions in the book.
  • A later reply offers to share a personal book for free, indicating a willingness to help others in their learning journey.

Areas of Agreement / Disagreement

Participants generally agree on the value of Hardy and Wright as a recommended text, but there is uncertainty regarding the availability of solutions in the book. The discussion remains open with varying suggestions and offers of personal resources.

Contextual Notes

Participants have not resolved the question of whether the recommended books contain solutions to exercises, and there may be limitations in the availability of certain texts based on location or cost.

Who May Find This Useful

This discussion may be useful for students or self-learners interested in number theory, particularly those seeking affordable learning materials with exercise solutions.

RossH
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Hello. I am looking for learning materials for the field of number theory. I took a class this semester in number theory and the topic fascinated me, but I don't feel like I learned that much. I am a mathematics minor so I have a very strong background in basic math, abstract/linear algebra, and calculus, but in number theory I don't get much beyond Diophantine equations. So, do you have any book recommendations? My only requirements are that the books are inexpensive (so no current textbooks) and that the answers to at least some of the questions are in the book. I don't want to have to Google for answers to every question in any chapter. Thanks for the help!
 
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Try to find "Introduction to the theory of Numbers" by Hardy and Wright in a university library. It's not cheap but it is the classic in the field and most universities have at least one, if not several, copies of that on shelf.
 
Hardy and Wright is a classic and would be a good choice as a second text in number theory. The most recent edition (sixth) is available on https://www.amazon.com/dp/0199219869/?tag=pfamazon01-20. You could download one or more of these to get exercises. I don't know right offhand whether any of these books have solutions, though. You could post your solutions on this forum to see if they are correct.

If you buy Hardy and Wright, you may wish to look at http://www.maths.ox.ac.uk/groups/number-theory/errata-hardy-and-wright, which has a list of misprints with corrections.
 
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Send me your email and I will send you my book for free!
 

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