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

AI Thread Summary
The discussion centers around finding suitable textbooks for an introductory course in Number Theory, particularly for undergraduate students. The original poster plans to take "Introduction to Number Theory" in Spring 2022 and seeks recommendations since the course will not use a textbook. Suggestions include Oystein Ore's "Number Theory and its History," noted for its blend of mathematical concepts and historical context, and Pommerhseim's "A Lively Introduction to the Theory of Numbers," praised for its clear explanations and focus on proof writing. Both texts are considered accessible for students who have completed Ordinary Differential Equations, with the latter being described as gentle and thorough, though a supplementary book may be necessary for further study.
Math100
Messages
813
Reaction score
229
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.
 
Physics news on Phys.org
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.
 
Theres 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...
 
  • Like
Likes Delta2 and Math100
Thank you, guys!
 
For the following four books, has anyone used them in a course or for self study? Compiler Construction Principles and Practice 1st Edition by Kenneth C Louden Programming Languages Principles and Practices 3rd Edition by Kenneth C Louden, and Kenneth A Lambert Programming Languages 2nd Edition by Allen B Tucker, Robert E Noonan Concepts of Programming Languages 9th Edition by Robert W Sebesta If yes to either, can you share your opinions about your personal experience using them. I...
Hi, I have notice that Ashcroft, Mermin and Wei worked at a revised edition of the original solid state physics book (here). The book, however, seems to be never available. I have also read that the reason is related to some disputes related to copyright. Do you have any further information about it? Did you have the opportunity to get your hands on this revised edition? I am really curious about it, also considering that I am planning to buy the book in the near future... Thanks!
I’ve heard that in some countries (for example, Argentina), the curriculum is structured differently from the typical American program. In the U.S., students usually take a general physics course first, then move on to a textbook like Griffiths, and only encounter Jackson at the graduate level. In contrast, in those countries students go through a general physics course (such as Resnick-Halliday) and then proceed directly to Jackson. If the slower, more gradual approach is considered...

Similar threads

Replies
8
Views
3K
Replies
12
Views
3K
Replies
5
Views
2K
Replies
7
Views
5K
Replies
1
Views
2K
Replies
3
Views
2K
Replies
5
Views
11K
Back
Top