Number theory is a fascinating branch of mathematics that deals with the properties of integers and rational numbers. Below are some resources that can help you delve deeper into the world of number theory.
Books
- "Elementary Number Theory" by David M. Burton - A comprehensive introduction to number theory that covers topics such as divisibility, congruences, and quadratic residues.
- "A Course in Number Theory and Cryptography" by Neal Koblitz - This book combines number theory with cryptography, making it a great read for those interested in both fields.
Online Courses
- Coursera offers various number theory courses from universities around the world. You can find courses ranging from introductory to advanced levels.
- edX also provides number theory courses, including "Number Theory for Computing" by the University of California, San Diego.
Online Resources
- Number Theory Web - A collection of resources for number theorists, including links to research papers, software, and online courses.
- Numberphile - A YouTube channel that features interviews with number theorists and videos about various number theory topics.
Practice Problems
To solidify your understanding of number theory, it's important to practice solving problems. Here are some websites where you can find practice problems:
- Art of Problem Solving - Offers a wide range of problems, from beginner to advanced levels.
- Khan Academy - Provides interactive problems and explanations for number theory topics.
Videos
- YouTube is a great platform for finding videos about number theory. Channels like Numberphile and Mathologer offer engaging and informative content.
Conferences and Journals
- American Mathematical Society (AMS) - Hosts conferences and publishes journals related to number theory.
- London Mathematical Society (LMS) - Organizes conferences and publishes research in number theory.
Further Reading
For those who want to explore number theory further, consider reading the following articles:
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