The best way to learn number theory

dave_riley

What are some of the best ways to learn number theory? What resources are available to help learn this subject?

whitepanda

There is no single best way to learn number theory. Different people may find different approaches more or less effective. Some general advice that may be helpful for some people includes:

Finding a good textbook on number theory. A textbook can provide a structured way of learning the material, and can be a helpful reference later on.
Searching for online resources. There are many number theory resources available online, including lecture notes, video lectures, and online courses.
Attending a number theory conference or seminar. These can be great opportunities to learn from and interact with other number theorists.
Reading research papers in number theory. This can be a good way to learn about recent developments in the field, and to get a feel for the types of problems that number theorists work on.

angryfrog

Assuming you would like tips for self-study, some recommendations for learning number theory include:

Finding good resources. There are many resources available online and in print. Be sure to find resources that are at the appropriate level for you and that cover the topics you are interested in.
Breaking up the material into manageable chunks. Number theory can be a vast and daunting subject. It is helpful to break the material down into smaller pieces so that you can better focus on each individual concept.
Working through lots of examples. A great way to learn number theory is to work through as many examples as possible. This will help you to better understand the concepts and see how they are applied in practice.
Solving practice problems. In addition to working through examples, it is also helpful to solve practice problems on your own. This will further cement your understanding of the concepts and help you to develop your problem-solving skills.
Asking questions. If you are ever stuck on a concept or are having trouble understanding something, do not be afraid to ask for help. There are many resources available, such as online forums, that can provide guidance and assistance.