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

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SUMMARY

This discussion focuses on recommended textbooks for an undergraduate course in Introductory Number Theory. Key suggestions include Oystein Ore's "Number Theory and its History," which provides a comprehensive overview of mathematics and its historical context, and Pommerhseim's "A Lively Introduction To The Theory Of Numbers," noted for its clarity and thorough explanations. Both texts are suitable for students who have completed Ordinary Differential Equations and are looking for resources with ample practice problems and accurate answers.

PREREQUISITES
  • Understanding of Ordinary Differential Equations
  • Familiarity with Mathematical Proof techniques
  • Basic knowledge of Algebra
  • Introductory Trigonometry concepts
NEXT STEPS
  • Research Oystein Ore's "Number Theory and its History" for historical context in mathematics
  • Explore Pommerhseim's "A Lively Introduction To The Theory Of Numbers" for foundational concepts in number theory
  • Investigate additional resources for practice problems in number theory
  • Look into supplementary textbooks that build on introductory number theory concepts
USEFUL FOR

Undergraduate students studying mathematics, particularly those enrolled in introductory number theory courses, as well as educators seeking effective teaching resources.

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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