Can anyone recommend me a textbook for Number Theory (Undergraduate)?

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Discussion Overview

The discussion revolves around recommendations for undergraduate textbooks in introductory number theory. Participants share their experiences and preferences for books that include practice problems and clear explanations suitable for students transitioning from other mathematical courses.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant mentions their background in Ordinary Differential Equations and Mathematical Proof, indicating a desire for a textbook that complements their upcoming course in Number Theory.
  • Another participant recommends Oystein Ore's "Number Theory and its History," noting its coverage of mathematics and historical context, while suggesting it is manageable for someone with the participant's background.
  • A different participant suggests "A Lively Introduction To The Theory Of Numbers" by Pommerhseim, describing it as well-written and suitable for practicing proof writing, but indicates that a subsequent book may be necessary for further study.

Areas of Agreement / Disagreement

Participants provide various textbook recommendations without expressing disagreement, but no consensus on a single preferred textbook emerges.

Contextual Notes

Some recommendations may depend on the specific mathematical background of the reader, and the suitability of the books may vary based on individual learning preferences.

Who May Find This Useful

Undergraduate students seeking textbooks for introductory number theory, particularly those looking for resources that include practice problems and clear explanations.

Math100
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So far, I've taken Ordinary Differential Equations and Introduction to Mathematical Proof. My plan is to take "Introduction To Number Theory" for next semester in Spring 2022. But my professor told me that she won't use a textbook for this class. I was wondering what are some of the good textbook(s) choices for Introductory (Elementary) Number Theory, that are suitable for undergraduate students like me. I want a textbook that has many practice problems and accurate answers. If anyone has any resources or know the textbooks, then please tell me the title of the textbook, edition, author, etc. Thank you.
 
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Oystein Ore's "Number Theory and it's History" might be a good place to start. He does cover a fair amount of mathematics as well as the history. ETA- it's only algebra, so shouldn't present a problem. Well, it does have some trig in it, but if you're past ODE, you're good to go.
 
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there's a really simple one, but it is written extremely well. Pommerhseim: A Lively Introduction To The Theory Of Numbers. A great way to practice proof writing, while learning some interesting math.

It is a gentle book, explanations are thorough, and easy to follow. However, another book will be needed after it...
 
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Thank you, guys!
 
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